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	<lastBuildDate>Sun, 14 Sep 2025 05:32:08 +0000</lastBuildDate>
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		<title>Superheated Steam Properties Calculator</title>
		<link>https://chemicalengineeringsite.in/superheated-steam-properties-calculator/</link>
		
		<dc:creator><![CDATA[chemicalengineeringsite]]></dc:creator>
		<pubDate>Sun, 14 Sep 2025 05:32:06 +0000</pubDate>
				<category><![CDATA[Calculators]]></category>
		<category><![CDATA[chemical engineering]]></category>
		<category><![CDATA[enthalpy]]></category>
		<category><![CDATA[entropy]]></category>
		<category><![CDATA[Process engineering]]></category>
		<category><![CDATA[specific volume]]></category>
		<category><![CDATA[steam properties calculator]]></category>
		<category><![CDATA[steam tables]]></category>
		<category><![CDATA[superheated steam]]></category>
		<category><![CDATA[thermodynamics]]></category>
		<guid isPermaLink="false">https://chemicalengineeringsite.in/?p=4060</guid>

					<description><![CDATA[<p>Superheated Steam Properties Calculator Enter Pressure with either Temperature or Degree of Superheat. Calculates v, ρ, h, s, u and heat capacities (Cp, Cv, k). Exports to Excel with live formulas. Input Mode Pressure + Temperature Pressure + Superheat (ΔT) Pressure bar(a)kPa(a)MPa(a) Valid: 0.06–221 bar(a) Temperature °CK ≥ Tsat at given P Degree of Superheat [&#8230;]</p>
<p>The post <a href="https://chemicalengineeringsite.in/superheated-steam-properties-calculator/">Superheated Steam Properties Calculator</a> appeared first on <a href="https://chemicalengineeringsite.in">Chemical Engineering Site</a>.</p>
]]></description>
										<content:encoded><![CDATA[
<!-- Superheated Steam Properties Calculator + Excel Export (Pump theme, robust Excel Newton block with clamped T) -->
<div id="shsc" class="psc-card" role="region" aria-label="Superheated Steam Properties Calculator">
  <div class="psc-header">
    <h3 class="psc-title">Superheated Steam Properties Calculator</h3>
    <p class="psc-sub">Enter Pressure with either Temperature or Degree of Superheat. Calculates v, ρ, h, s, u and heat capacities (Cp, Cv, k). Exports to Excel with live formulas.</p>
  </div>

  <form class="psc-form" onsubmit="return false;">
    <fieldset class="psc-fieldset" style="border:1px dashed var(--b);border-radius:12px;padding:.6rem .7rem">
      <legend class="psc-sub">Input Mode</legend>
      <div class="psc-inline">
        <label class="psc-radio" style="display:flex;align-items:center;gap:.45rem;margin-right:1rem;color:var(--t)">
          <input type="radio" name="shsc-mode" value="PT" checked /> <span>Pressure + Temperature</span>
        </label>
        <label class="psc-radio" style="display:flex;align-items:center;gap:.45rem;margin-right:1rem;color:var(--t)">
          <input type="radio" name="shsc-mode" value="PSH" /> <span>Pressure + Superheat (ΔT)</span>
        </label>
      </div>
    </fieldset>

    <div class="psc-grid">
      <!-- Pressure -->
      <label class="psc-field">
        <span>Pressure</span>
        <div class="psc-inline">
          <input id="shsc-p" type="number" step="any" min="0" placeholder="e.g., 10" required />
          <select id="shsc-punit" aria-label="Pressure unit">
            <option value="bar" selected>bar(a)</option>
            <option value="kPa">kPa(a)</option>
            <option value="MPa">MPa(a)</option>
          </select>
        </div>
        <small class="psc-hint">Valid: 0.06–221 bar(a)</small>
      </label>

      <!-- Temperature (for PT) -->
      <label class="psc-field" id="shsc-Tbox">
        <span>Temperature</span>
        <div class="psc-inline">
          <input id="shsc-T" type="number" step="any" placeholder="e.g., 450" />
          <select id="shsc-Tunit" aria-label="Temperature unit">
            <option value="C" selected>°C</option>
            <option value="K">K</option>
          </select>
        </div>
        <small class="psc-hint">≥ T<sub>sat</sub> at given P</small>
      </label>

      <!-- Superheat (for PSH) -->
      <label class="psc-field" id="shsc-SHbox" style="display:none">
        <span>Degree of Superheat (ΔT)</span>
        <div class="psc-inline">
          <input id="shsc-SH" type="number" step="any" placeholder="e.g., 50" />
          <span class="psc-unit">°C</span>
        </div>
        <small class="psc-hint">ΔT ≥ 0 (final T = T<sub>sat</sub> + ΔT)</small>
      </label>
    </div>

    <div class="psc-actions">
      <button type="button" id="shsc-calc" class="psc-btn">Calculate</button>
      <button type="button" id="shsc-export" class="psc-btn psc-btn-ghost" title="Export Excel with formulas"><img src="https://s.w.org/images/core/emoji/17.0.2/72x72/1f4ca.png" alt="📊" class="wp-smiley" style="height: 1em; max-height: 1em;" /> Export Excel</button>
      <button type="button" id="shsc-reset" class="psc-btn psc-btn-ghost">Reset</button>
      <button type="button" id="shsc-copy" class="psc-btn psc-btn-ghost" title="Copy results">Copy</button>
    </div>
  </form>

  <div class="psc-results" aria-live="polite">
    <!-- Saturation + superheat -->
    <div class="psc-result"><div class="psc-result-label">Saturation Temperature at P (T<sub>sat</sub>)</div><div class="psc-result-value"><span id="shsc-Tsat">–</span></div></div>
    <div class="psc-result"><div class="psc-result-label">Actual Temperature (T)</div><div class="psc-result-value"><span id="shsc-Tact">–</span></div></div>
    <div class="psc-result"><div class="psc-result-label">Degree of Superheat (ΔT)</div><div class="psc-result-value"><span id="shsc-DTO">–</span></div></div>

    <!-- Properties -->
    <div class="psc-result"><div class="psc-result-label">Specific Volume v (m³/kg)</div><div class="psc-result-value"><span id="shsc-v">–</span></div></div>
    <div class="psc-result"><div class="psc-result-label">Density ρ (kg/m³)</div><div class="psc-result-value"><span id="shsc-rho">–</span></div></div>
    <div class="psc-result"><div class="psc-result-label">Enthalpy h (kJ/kg)</div><div class="psc-result-value"><span id="shsc-h">–</span></div></div>
    <div class="psc-result"><div class="psc-result-label">Entropy s (kJ/kg·K)</div><div class="psc-result-value"><span id="shsc-s">–</span></div></div>
    <div class="psc-result"><div class="psc-result-label">Internal Energy u (kJ/kg)</div><div class="psc-result-value"><span id="shsc-u">–</span></div></div>

    <div class="psc-result"><div class="psc-result-label">Isobaric Heat Capacity C<sub>p</sub> (kJ/kg·K)</div><div class="psc-result-value"><span id="shsc-cp">–</span></div></div>
    <div class="psc-result"><div class="psc-result-label">Isochoric Heat Capacity C<sub>v</sub> (kJ/kg·K)</div><div class="psc-result-value"><span id="shsc-cv">–</span></div></div>
    <div class="psc-result"><div class="psc-result-label">Heat Capacity Ratio k = C<sub>p</sub>/C<sub>v</sub></div><div class="psc-result-value"><span id="shsc-k">–</span></div></div>

    <div id="shsc-note" class="psc-note"></div>
  </div>

  <details class="psc-details">
    <summary>Formula &#038; correlation notes</summary>
    <ul>
      <li><strong>Saturation (for T<sub>sat</sub>):</strong> IAPWS Wagner-type p(T); for T from P use Newton with central derivative.</li>
      <li><strong>Ideal gas:</strong> v = R·T/P (with P in bar → ×100 to kPa); ρ = 1/v.</li>
      <li><strong>Enthalpy (superheated):</strong> h ≈ C<sub>p</sub>·T + h₀ with h(100 °C,sat)=2676 kJ/kg ⇒ h₀ = 2676 − C<sub>p</sub>·T<sub>ref</sub>.</li>
      <li><strong>Entropy (superheated):</strong> s ≈ s<sub>g,ref</sub> + C<sub>p</sub>·ln(T/T<sub>ref</sub>) − R·ln(P/P<sub>ref</sub>).</li>
      <li><strong>Internal energy:</strong> u = h − P·v (P in kPa, v in m³/kg → kJ/kg).</li>
      <li><strong>Heat capacities:</strong> C<sub>v</sub> = C<sub>p</sub> − R; k = C<sub>p</sub>/C<sub>v</sub>. (Single-average C<sub>p</sub> used.)</li>
    </ul>
  </details>

  <footer class="psc-footer">
    <small>Credit: <a href="https://chemicalengineeringsite.in/" target="_blank" rel="noopener">chemicalengineeringsite.in</a></small>
  </footer>
</div>

<style>
  /* Pump Specific Speed theme tokens */
  .psc-card{--b:#e6eef6;--t:#0f172a;--muted:#475569;--a:#2563eb;--bg:#ffffff;max-width:860px;margin:1.25rem auto;padding:1.25rem;border:1px solid var(--b);border-radius:16px;background:var(--bg);box-shadow:0 6px 20px rgba(2,6,23,.06)}
  .psc-title{margin:.25rem 0;font-size:1.25rem;color:var(--t)}
  .psc-sub{margin:0;color:var(--muted)}
  .psc-form{margin-top:.75rem}
  .psc-grid{display:grid;grid-template-columns:repeat(3,minmax(0,1fr));gap:14px}
  @media (max-width:860px){.psc-grid{grid-template-columns:1fr}}
  .psc-field{display:flex;flex-direction:column;gap:6px}
  .psc-field span{font-weight:600;color:var(--t)}
  .psc-inline{display:flex;gap:8px;align-items:center}
  .psc-field input,.psc-field select{width:100%;padding:.6rem .7rem;border:1px solid var(--b);border-radius:10px;background:#fff;color:var(--t)}
  .psc-unit{color:var(--muted)}
  .psc-actions{display:flex;gap:10px;margin-top:.75rem;flex-wrap:wrap}
  .psc-btn{border:1px solid var(--a);background:var(--a);color:#fff;border-radius:999px;padding:.55rem .9rem;font-weight:600;cursor:pointer}
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  .psc-result-label{color:var(--muted)}
  .psc-result-value{font-size:1.1rem;font-weight:700;color:var(--t)}
  .psc-note{margin-top:.4rem;color:#b45309}
  .psc-details{margin-top:.6rem}
  .psc-footer{margin-top:.6rem;color:var(--muted)}
</style>

<!-- SheetJS for Excel export -->
<script src="https://cdn.jsdelivr.net/npm/xlsx@0.18.5/dist/xlsx.full.min.js"></script>

<script>
(function(){
  const $ = id => document.getElementById(id);
  const EL = {
    mode:  () => document.querySelector('input[name="shsc-mode"]:checked')?.value || 'PT',
    p: $('shsc-p'), pUnit: $('shsc-punit'),
    T: $('shsc-T'), TUnit: $('shsc-Tunit'),
    SH: $('shsc-SH'),
    Tbox: $('shsc-Tbox'), SHbox: $('shsc-SHbox'),
    btnCalc: $('shsc-calc'), btnExport: $('shsc-export'),
    btnReset: $('shsc-reset'), btnCopy: $('shsc-copy'),
    Tsat: $('shsc-Tsat'), Tact: $('shsc-Tact'), DTO: $('shsc-DTO'),
    v: $('shsc-v'), rho: $('shsc-rho'), h: $('shsc-h'), s: $('shsc-s'), u: $('shsc-u'),
    cp: $('shsc-cp'), cv: $('shsc-cv'), k: $('shsc-k'),
    note: $('shsc-note')
  };

  // Thermo constants (consistent HTML & Excel)
  const Tc = 647.096, pc_bar = 220.64;
  const R = 0.461526;          // kJ/(kg·K)
  const cp = 2.08;             // kJ/(kg·K) average superheated Cp
  const Tref = 373.15, pref_bar = 1.01325, hg_ref = 2676.0, sg_ref = 7.354;
  const h0 = hg_ref - cp*Tref; // calibration so h=2676 at 100 °C
  const a = [-7.85951783, 1.84408259, -11.7866497, 22.6807411, -15.9618719, 1.80122502];

  const round = (v,dp=3)=>Number.isFinite(v)?(Math.round(v*10**dp)/10**dp).toFixed(dp):'–';
  const C2K = C=>C+273.15, K2C = K=>K-273.15;

  function p_sat_from_T(T_K){
    const tau = 1 - (T_K/Tc);
    const ln_pr = (Tc/T_K) * (a[0]*tau + a[1]*tau**1.5 + a[2]*tau**3 + a[3]*tau**3.5 + a[4]*tau**4 + a[5]*tau**7.5);
    return Math.exp(ln_pr)*pc_bar;
  }
  function T_sat_from_p(p_bar){
    let T = Math.min(Math.max(273.15 + 100*(p_bar/pref_bar)**0.25, 273.15), Tc-0.01);
    for(let i=0;i<30;i++){
      const dT=0.005, f=p_sat_from_T(T)-p_bar;
      const dp=(p_sat_from_T(T+dT)-p_sat_from_T(T-dT))/(2*dT);
      if(!isFinite(dp)||Math.abs(dp)<1e-7) break;
      const step=f/dp; T = Math.min(Math.max(T - step, 273.15), Tc-1e-6);
      if(Math.abs(step)<1e-6) break;
    }
    return T;
  }

  function to_bar(p, unit){ if(unit==='bar') return p; if(unit==='kPa') return p/100; if(unit==='MPa') return p*10; return NaN; }
  function T_from_input(val, unit){ return unit==='K' ? val : val+273.15; }

  function calculate(){
    const mode = EL.mode();
    const p_in = Number(EL.p.value);
    if(!isFinite(p_in) || p_in<=0){ EL.note.textContent='Enter a valid positive Pressure.'; return; }
    const Pbar = to_bar(p_in, EL.pUnit.value);
    if(!(Pbar>0) || Pbar<0.06 || Pbar>221){ EL.note.textContent='Pressure must be between 0.06 and 221 bar(a).'; return; }

    const TsatK = T_sat_from_p(Pbar);

    let T_K;
    if(mode==='PT'){
      const Tin = Number(EL.T.value);
      if(!isFinite(Tin)){ EL.note.textContent='Enter a valid Temperature.'; return; }
      T_K = T_from_input(Tin, EL.TUnit.value);
      if(T_K < TsatK){ EL.note.textContent='Superheated requires T ≥ T_sat at given P.'; return; }
    }else{
      const dT = Number(EL.SH.value);
      if(!isFinite(dT) || dT<0){ EL.note.textContent='Enter ΔT ≥ 0.'; return; }
      T_K = TsatK + dT; // ΔT in °C equals K difference
    }

    // Properties (ideal-gas superheated)
    const v = (R*T_K)/(Pbar*100);      // m³/kg (bar→kPa)
    const rho = 1/v;
    const h = cp*T_K + h0;             // kJ/kg
    const s = sg_ref + cp*Math.log(T_K/Tref) - R*Math.log(Pbar/pref_bar);
    const u = h - (Pbar*100)*v;        // kJ/kg (kPa·m³/kg)
    const cv = cp - R;
    const k = cp / cv;

    // Outputs
    EL.Tsat.textContent = `${round(K2C(TsatK),3)} °C`;
    EL.Tact.textContent = `${round(K2C(T_K),3)} °C`;
    EL.DTO.textContent  = `${round(T_K - TsatK,3)} °C`;
    EL.v.textContent    = round(v,6);
    EL.rho.textContent  = round(rho,5);
    EL.h.textContent    = round(h,2);
    EL.s.textContent    = round(s,4);
    EL.u.textContent    = round(u,2);
    EL.cp.textContent   = round(cp,4);
    EL.cv.textContent   = round(cv,4);
    EL.k.textContent    = round(k,4);
    EL.note.textContent = '';

    window.__shsc_state = { mode, Pbar, TsatK, TK:T_K, cp };
  }

  function reset(){
    EL.p.value=''; EL.pUnit.value='bar';
    EL.T.value=''; EL.TUnit.value='C';
    EL.SH.value='';
    ['Tsat','Tact','DTO','v','rho','h','s','u','cp','cv','k'].forEach(k=>EL[k].textContent='–');
    EL.note.textContent='';
    window.__shsc_state = null;
  }

  function copyResults(){
    const txt = `Superheated Steam Properties
-----------------------------
T_sat (°C): ${EL.Tsat.textContent}
T (°C): ${EL.Tact.textContent}
ΔT (°C): ${EL.DTO.textContent}
v (m³/kg): ${EL.v.textContent}
ρ (kg/m³): ${EL.rho.textContent}
h (kJ/kg): ${EL.h.textContent}
s (kJ/kg·K): ${EL.s.textContent}
u (kJ/kg): ${EL.u.textContent}
Cp (kJ/kg·K): ${EL.cp.textContent}
Cv (kJ/kg·K): ${EL.cv.textContent}
k = Cp/Cv: ${EL.k.textContent}`;
    navigator.clipboard?.writeText(txt).then(()=>{
      EL.note.style.color='#16a34a'; EL.note.textContent='Results copied.'; setTimeout(()=>{EL.note.textContent=''; EL.note.style.color='';},1400);
    }).catch(()=>{
      EL.note.style.color='#b45309'; EL.note.textContent='Copy failed. Select and copy manually.';
    });
  }

  // Excel export (label-safe + clamped central difference so no #NUM! near Tc)
  function exportExcel(){
    const s = window.__shsc_state;
    if(!s){ EL.note.style.color='#b45309'; EL.note.textContent='Calculate first.'; return; }

    const modeStr = s.mode;
    const A = [
      ['Superheated Steam Properties (dynamic Excel)','','',''],
      ['','','',''],
      ['Mode ("PT" or "PSH")', modeStr,'',''],
      ['Pressure Input (bar a)', s.Pbar, 'bar',''],
      ['Temperature Input (°C)', modeStr==='PT' ? +(s.TK-273.15).toFixed(6) : '', '°C','Only used in PT mode'],
      ['Degree of Superheat ΔT (°C)', modeStr==='PSH' ? +(s.TK - s.TsatK).toFixed(6) : '', '°C','Only used in PSH mode'],
      ['','','',''],

      // Constants
      ['Constants','Value','Units',''],
      ['Critical Temperature (Tc)', 647.096, 'K',''],
      ['Critical Pressure (pc)', 220.64, 'bar',''],
      ['Gas Constant (steam, R)', 0.461526, 'kJ/(kg·K)',''],
      ['Superheated Cp (Cp)', s.cp ?? 2.08, 'kJ/(kg·K)',''],
      ['Reference Temperature (T_ref)', 373.15, 'K',''],
      ['Reference Pressure (p_ref)', 1.01325, 'bar',''],
      ['Reference h_g at 100°C', 2676, 'kJ/kg',''],
      ['Reference s_g at 100°C', 7.354, 'kJ/(kg·K)',''],
      ['h0 = h_g,ref - Cp*T_ref', {t:'n', f:'B14 - B12*B13'}, 'kJ/kg',''],
      ['','','',''],

      // Saturation at P: T_from_P via Newton
      ['ΔT_derive (K)', 0.005, 'K',''],
      ['P_in (bar)', {t:'n', f:'B4'}, 'bar',''],
      ['T0 (K) seed', '', 'K','MAX(273.15, MIN(B9-0.01, 273.15 + 100*POWER(B17/B15,0.25)))'],
      ['p(T0) (bar)', '', 'bar',''],
      ['dp/dT @T0', '', 'bar/K',''],
      ['T1 (K)', '', 'K',''],
      ['p(T1) (bar)', '', 'bar',''],
      ['dp/dT @T1', '', 'bar/K',''],
      ['T2 (K)', '', 'K',''],
      ['p(T2) (bar)', '', 'bar',''],
      ['dp/dT @T2', '', 'bar/K',''],
      ['T3 (K)', '', 'K',''],
      ['p(T3) (bar)', '', 'bar',''],
      ['dp/dT @T3', '', 'bar/K',''],
      ['T4 (K)', '', 'K',''],
      ['p(T4) (bar)', '', 'bar',''],
      ['dp/dT @T4', '', 'bar/K',''],
      ['T_sat at P (K)', '', 'K','Newton result'],
      ['T_sat (°C)', '', '°C','T_satK-273.15'],
      ['','','',''],

      // Effective T & P by Mode
      ['T_mode (K)', '', 'K','IF(Mode="PT", T_in_C+273.15, T_satK + dT_input)'],
      ['P_mode (bar)', '', 'bar','=P_in'],
      ['Degree of Superheat (°C)', '', '°C','T_modeK - T_satK'],
      ['','','',''],

      // RESULTS
      ['Property','Value','Units','Formula'],
      ['Saturation Temperature (°C)', '', '°C', 'T_satK-273.15'],
      ['Actual Temperature (°C)', '', '°C', 'T_modeK-273.15'],
      ['Degree of Superheat (°C)', '', '°C', 'T_modeK - T_satK'],
      ['Specific Volume v', '', 'm³/kg', 'R*T_modeK/(P_mode*100)'],
      ['Density ρ', '', 'kg/m³', '1/v'],
      ['Enthalpy h', '', 'kJ/kg', 'Cp*T_modeK + h0'],
      ['Entropy s', '', 'kJ/kg·K', 's_g,ref + Cp*ln(T_modeK/T_ref) - R*ln(P_mode/p_ref)'],
      ['Internal Energy u', '', 'kJ/kg', 'h - (P_mode*100)*v'],
      ['Cp', '', 'kJ/kg·K', 'constant'],
      ['Cv', '', 'kJ/kg·K', 'Cp - R'],
      ['k = Cp/Cv', '', '-', 'Cp/Cv'],
      ['','','',''],
      ['Source: chemicalengineeringsite.in','','','']
    ];

    const ws = XLSX.utils.aoa_to_sheet(A);
    ws['!cols'] = [{wch:44},{wch:22},{wch:14},{wch:46}];
    ws['!freeze'] = { xSplit: 1, ySplit: 7 };

    // Find a row by label (Col A)
    function rowOf(label){
      for(const addr in ws){
        if(!/^[A-Z]+\d+$/.test(addr)) continue;
        if(addr.startsWith('A') && ws[addr] && ws[addr].v === label) return parseInt(addr.replace(/^[A-Z]+/,''),10);
      }
      return null;
    }
    const setB = (r,f)=>{ ws['B'+r] = {t:'n', f}; };

    // Constants rows
    const rTc=rowOf('Critical Temperature (Tc)'),
          rpc=rowOf('Critical Pressure (pc)'),
          rR =rowOf('Gas Constant (steam, R)'),
          rCp=rowOf('Superheated Cp (Cp)'),
          rTref=rowOf('Reference Temperature (T_ref)'),
          rPref=rowOf('Reference Pressure (p_ref)'),
          rhgref=rowOf('Reference h_g at 100°C'),
          rsgref=rowOf('Reference s_g at 100°C'),
          rh0=rowOf('h0 = h_g,ref - Cp*T_ref');

    // Newton rows
    const rDelta=rowOf('ΔT_derive (K)'),
          rPin=rowOf('P_in (bar)'),
          rT0=rowOf('T0 (K) seed'),
          rPT0=rowOf('p(T0) (bar)'),
          rdp0=rowOf('dp/dT @T0'),
          rT1=rowOf('T1 (K)'),
          rPT1=rowOf('p(T1) (bar)'),
          rdp1=rowOf('dp/dT @T1'),
          rT2=rowOf('T2 (K)'),
          rPT2=rowOf('p(T2) (bar)'),
          rdp2=rowOf('dp/dT @T2'),
          rT3=rowOf('T3 (K)'),
          rPT3=rowOf('p(T3) (bar)'),
          rdp3=rowOf('dp/dT @T3'),
          rT4=rowOf('T4 (K)'),
          rPT4=rowOf('p(T4) (bar)'),
          rdp4=rowOf('dp/dT @T4'),
          rTsatK=rowOf('T_sat at P (K)'),
          rTsatC=rowOf('T_sat (°C)');

    // Mode rows
    const rMode=rowOf('Mode ("PT" or "PSH")'),
          rTinC=rowOf('Temperature Input (°C)'),
          rdTin=rowOf('Degree of Superheat ΔT (°C)'),
          rTmode=rowOf('T_mode (K)'),
          rPmode=rowOf('P_mode (bar)'),
          rSH=rowOf('Degree of Superheat (°C)');

    // Results rows
    const rRes_TsatC=rowOf('Saturation Temperature (°C)'),
          rRes_TactC=rowOf('Actual Temperature (°C)'),
          rRes_dT=rowOf('Degree of Superheat (°C)'),
          rRes_v=rowOf('Specific Volume v'),
          rRes_rho=rowOf('Density ρ'),
          rRes_h=rowOf('Enthalpy h'),
          rRes_s=rowOf('Entropy s'),
          rRes_u=rowOf('Internal Energy u'),
          rRes_Cp=rowOf('Cp'),
          rRes_Cv=rowOf('Cv'),
          rRes_k=rowOf('k = Cp/Cv');

    // Wagner p(T) helper that clamps temperature inside Excel to [273.15, Tc-1E-6]
    function p_of_expr(Texpr){
      const Tclip = `MAX(273.15, MIN(${Texpr}, B${rTc}-1E-6))`;
      return `EXP((B${rTc}/${Tclip})*( -7.85951783*(1-${Tclip}/B${rTc}) + 1.84408259*POWER(1-${Tclip}/B${rTc},1.5) -11.7866497*POWER(1-${Tclip}/B${rTc},3) +22.6807411*POWER(1-${Tclip}/B${rTc},3.5) -15.9618719*POWER(1-${Tclip}/B${rTc},4) +1.80122502*POWER(1-${Tclip}/B${rTc},7.5) ))*B${rpc}`;
    }
    const dpdt = (Trow) => `( ${p_of_expr(`(B${Trow}+B${rDelta})`)} - ${p_of_expr(`(B${Trow}-B${rDelta})`)} )/(2*B${rDelta})`;

    // Newton iterations (all guarded by clamp inside p_of_expr)
    setB(rT0,  `MAX(273.15, MIN(B${rTc}-0.01, 273.15 + 100*POWER(B${rPin}/B${rPref},0.25)))`);
    setB(rPT0, p_of_expr(`B${rT0}`));
    setB(rdp0, dpdt(rT0));
    setB(rT1,  `MAX(273.15, MIN(B${rTc}-1E-6, B${rT0} - (B${rPT0}-B${rPin})/B${rdp0}))`);
    setB(rPT1, p_of_expr(`B${rT1}`));
    setB(rdp1, dpdt(rT1));
    setB(rT2,  `MAX(273.15, MIN(B${rTc}-1E-6, B${rT1} - (B${rPT1}-B${rPin})/B${rdp1}))`);
    setB(rPT2, p_of_expr(`B${rT2}`));
    setB(rdp2, dpdt(rT2));
    setB(rT3,  `MAX(273.15, MIN(B${rTc}-1E-6, B${rT2} - (B${rPT2}-B${rPin})/B${rdp2}))`);
    setB(rPT3, p_of_expr(`B${rT3}`));
    setB(rdp3, dpdt(rT3));
    setB(rT4,  `MAX(273.15, MIN(B${rTc}-1E-6, B${rT3} - (B${rPT3}-B${rPin})/B${rdp3}))`);
    setB(rPT4, p_of_expr(`B${rT4}`));
    setB(rdp4, dpdt(rT4));
    setB(rTsatK, `MAX(273.15, MIN(B${rTc}-1E-6, B${rT4} - (B${rPT4}-B${rPin})/B${rdp4}))`);
    setB(rTsatC, `B${rTsatK}-273.15`);

    // Effective T & P
    setB(rTmode, `IF(B${rMode}="PT", B${rTinC}+273.15, B${rTsatK} + B${rdTin})`);
    setB(rPmode, `B${rPin}`);
    setB(rSH,    `B${rTmode} - B${rTsatK}`);

    // Results
    setB(rRes_TsatC, `B${rTsatK}-273.15`);
    setB(rRes_TactC, `B${rTmode}-273.15`);
    setB(rRes_dT,    `B${rTmode}-B${rTsatK}`);
    setB(rRes_v,     `B${rR}*B${rTmode}/(B${rPmode}*100)`);
    setB(rRes_rho,   `1/B${rRes_v}`);
    setB(rRes_h,     `B${rCp}*B${rTmode} + B${rh0}`);
    setB(rRes_s,     `B${rsgref} + B${rCp}*LN(B${rTmode}/B${rTref}) - B${rR}*LN(B${rPmode}/B${rPref})`);
    setB(rRes_u,     `B${rRes_h} - (B${rPmode}*100)*B${rRes_v}`);
    setB(rRes_Cp,    `B${rCp}`);
    setB(rRes_Cv,    `B${rCp} - B${rR}`);
    setB(rRes_k,     `B${rRes_Cp}/B${rRes_Cv}`);

    // Clickable source
    const lastRow = Math.max(...Object.keys(ws).filter(k=>/^[A-Z]+\d+$/.test(k)).map(k=>+k.replace(/^[A-Z]+/,'')));
    ws['A'+lastRow] = { t:'s', v:'Source: chemicalengineeringsite.in', l:{ Target:'https://chemicalengineeringsite.in/' } };

    const wb = XLSX.utils.book_new();
    XLSX.utils.book_append_sheet(wb, ws, 'Superheated');
    const ts = new Date().toISOString().slice(0,19).replace(/[:T]/g,'-');
    XLSX.writeFile(wb, `superheated_steam_dynamic_${ts}.xlsx`);
  }

  // Wire up
  EL.btnCalc.addEventListener('click', calculate);
  EL.btnReset.addEventListener('click', reset);
  EL.btnCopy.addEventListener('click', copyResults);
  EL.btnExport.addEventListener('click', exportExcel);

  // Toggle input boxes by mode
  Array.from(document.querySelectorAll('input[name="shsc-mode"]')).forEach(r=>{
    r.addEventListener('change', ()=>{
      const m = EL.mode();
      if(m==='PT'){ EL.Tbox.style.display='block'; EL.SHbox.style.display='none'; }
      else{ EL.Tbox.style.display='none'; EL.SHbox.style.display='block'; }
      reset();
    });
  });

  // Enter to calculate
  ['shsc-p','shsc-T','shsc-SH'].forEach(id=>{
    const node=$(id); if(!node) return;
    node.addEventListener('keydown', e=>{ if(e.key==='Enter'){ e.preventDefault(); calculate(); } });
  });
})();
</script>

<p>The post <a href="https://chemicalengineeringsite.in/superheated-steam-properties-calculator/">Superheated Steam Properties Calculator</a> appeared first on <a href="https://chemicalengineeringsite.in">Chemical Engineering Site</a>.</p>
]]></content:encoded>
					
		
		
			</item>
		<item>
		<title>Saturated Steam Properties Calculator</title>
		<link>https://chemicalengineeringsite.in/saturated-steam-properties-calculator/</link>
		
		<dc:creator><![CDATA[chemicalengineeringsite]]></dc:creator>
		<pubDate>Sat, 13 Sep 2025 14:25:15 +0000</pubDate>
				<category><![CDATA[Calculators]]></category>
		<category><![CDATA[boiler calculations]]></category>
		<category><![CDATA[chemical engineering]]></category>
		<category><![CDATA[energy calculations]]></category>
		<category><![CDATA[engineering calculator]]></category>
		<category><![CDATA[latent heat]]></category>
		<category><![CDATA[online steam table]]></category>
		<category><![CDATA[Process engineering]]></category>
		<category><![CDATA[saturated steam]]></category>
		<category><![CDATA[Saturated Steam Enthalpy Calculator]]></category>
		<category><![CDATA[Saturated Steam Latent Heat Calculator]]></category>
		<category><![CDATA[Saturated Steam Properties]]></category>
		<category><![CDATA[saturated steam table]]></category>
		<category><![CDATA[saturation pressure]]></category>
		<category><![CDATA[specific enthalpy]]></category>
		<category><![CDATA[specific volume]]></category>
		<category><![CDATA[Steam]]></category>
		<category><![CDATA[steam calculator]]></category>
		<category><![CDATA[steam enthalpy]]></category>
		<category><![CDATA[steam pressure]]></category>
		<category><![CDATA[steam properties]]></category>
		<category><![CDATA[steam quality]]></category>
		<category><![CDATA[steam table]]></category>
		<category><![CDATA[steam temperature]]></category>
		<category><![CDATA[thermodynamic properties]]></category>
		<guid isPermaLink="false">https://chemicalengineeringsite.in/?p=4053</guid>

					<description><![CDATA[<p>Saturated Steam Properties Calculator Enter either Temperature or Pressure. Calculates saturation and properties: vg, ρg, vf, ρf, hf, hfg, hg, sf, sfg, sg. Export to Excel — changing inputs there updates outputs automatically. Input Mode By Temperature By Pressure Temperature °CK Valid range: 0–≈374 °C (273.15–647.096 K) Pressure bar(a)kPa(a)MPa(a) Valid range: 0.006–221 bar(a) Calculate &#x1f4ca; [&#8230;]</p>
<p>The post <a href="https://chemicalengineeringsite.in/saturated-steam-properties-calculator/">Saturated Steam Properties Calculator</a> appeared first on <a href="https://chemicalengineeringsite.in">Chemical Engineering Site</a>.</p>
]]></description>
										<content:encoded><![CDATA[
<!-- Saturated Steam Properties Calculator + Excel Export (row-safe, HTML=Excel) -->
<div id="ssc" class="ssc-card" role="region" aria-label="Saturated Steam Properties Calculator">
  <div class="ssc-header">
    <h3 class="ssc-title">Saturated Steam Properties Calculator</h3>
    <p class="ssc-sub">Enter either Temperature or Pressure. Calculates saturation and properties: v<sub>g</sub>, ρ<sub>g</sub>, v<sub>f</sub>, ρ<sub>f</sub>, h<sub>f</sub>, h<sub>fg</sub>, h<sub>g</sub>, s<sub>f</sub>, s<sub>fg</sub>, s<sub>g</sub>. Export to Excel — changing inputs there updates outputs automatically.</p>
  </div>

  <form class="ssc-form" onsubmit="return false;">
    <fieldset class="ssc-fieldset">
      <legend>Input Mode</legend>
      <div class="ssc-inline">
        <label class="ssc-radio"><input type="radio" name="ssc-mode" value="T2P" checked /> <span>By Temperature</span></label>
        <label class="ssc-radio"><input type="radio" name="ssc-mode" value="P2T" /> <span>By Pressure</span></label>
      </div>
    </fieldset>

    <div class="ssc-grid" id="ssc-temp-box">
      <label class="ssc-field">
        <span>Temperature</span>
        <div class="ssc-inline">
          <input id="ssc-temp" type="number" step="any" placeholder="e.g., 150" />
          <select id="ssc-tunit" aria-label="Temperature unit">
            <option value="C">°C</option>
            <option value="K">K</option>
          </select>
        </div>
        <small class="ssc-hint">Valid range: 0–≈374 °C (273.15–647.096 K)</small>
      </label>
    </div>

    <div class="ssc-grid" id="ssc-press-box" style="display:none">
      <label class="ssc-field">
        <span>Pressure</span>
        <div class="ssc-inline">
          <input id="ssc-press" type="number" step="any" placeholder="e.g., 10" />
          <select id="ssc-punit" aria-label="Pressure unit">
            <option value="bar">bar(a)</option>
            <option value="kPa">kPa(a)</option>
            <option value="MPa">MPa(a)</option>
          </select>
        </div>
        <small class="ssc-hint">Valid range: 0.006–221 bar(a)</small>
      </label>
    </div>

    <div class="ssc-actions">
      <button type="button" id="ssc-calc" class="ssc-btn">Calculate</button>
      <button type="button" id="ssc-export" class="ssc-btn ssc-btn-ghost" title="Export Excel (dynamic)"><img src="https://s.w.org/images/core/emoji/17.0.2/72x72/1f4ca.png" alt="📊" class="wp-smiley" style="height: 1em; max-height: 1em;" /> Export Excel</button>
      <button type="button" id="ssc-reset" class="ssc-btn ssc-btn-ghost">Reset</button>
      <button type="button" id="ssc-copy" class="ssc-btn ssc-btn-ghost" title="Copy results">Copy</button>
    </div>
  </form>

  <div class="ssc-results" aria-live="polite">
    <div class="ssc-result"><div class="ssc-result-label">Saturation Temperature (T<sub>sat</sub>)</div><div class="ssc-result-value"><span id="ssc-oT">–</span></div></div>
    <div class="ssc-result"><div class="ssc-result-label">Saturation Pressure (P<sub>sat</sub>)</div><div class="ssc-result-value"><span id="ssc-oP">–</span></div></div>

    <div class="ssc-result"><div class="ssc-result-label">Specific Volume (Vapor) v<sub>g</sub> (m³/kg)</div><div class="ssc-result-value"><span id="ssc-ovg">–</span></div></div>
    <div class="ssc-result"><div class="ssc-result-label">Density (Vapor) ρ<sub>g</sub> (kg/m³)</div><div class="ssc-result-value"><span id="ssc-orhog">–</span></div></div>

    <div class="ssc-result"><div class="ssc-result-label">Specific Volume (Liquid) v<sub>f</sub> (m³/kg)</div><div class="ssc-result-value"><span id="ssc-ovf">–</span></div></div>
    <div class="ssc-result"><div class="ssc-result-label">Density (Liquid) ρ<sub>f</sub> (kg/m³)</div><div class="ssc-result-value"><span id="ssc-orhof">–</span></div></div>

    <div class="ssc-result"><div class="ssc-result-label">Enthalpy (Liquid) h<sub>f</sub> (kJ/kg)</div><div class="ssc-result-value"><span id="ssc-ohf">–</span></div></div>
    <div class="ssc-result"><div class="ssc-result-label">Latent Heat h<sub>fg</sub> (kJ/kg)</div><div class="ssc-result-value"><span id="ssc-ohfg">–</span></div></div>
    <div class="ssc-result"><div class="ssc-result-label">Enthalpy (Vapor) h<sub>g</sub> (kJ/kg)</div><div class="ssc-result-value"><span id="ssc-ohg">–</span></div></div>

    <div class="ssc-result"><div class="ssc-result-label">Entropy (Liquid) s<sub>f</sub> (kJ/kg·K)</div><div class="ssc-result-value"><span id="ssc-osf">–</span></div></div>
    <div class="ssc-result"><div class="ssc-result-label">Entropy of Vaporization s<sub>fg</sub> (kJ/kg·K)</div><div class="ssc-result-value"><span id="ssc-osfg">–</span></div></div>
    <div class="ssc-result"><div class="ssc-result-label">Entropy (Vapor) s<sub>g</sub> (kJ/kg·K)</div><div class="ssc-result-value"><span id="ssc-osg">–</span></div></div>

    <div id="ssc-note" class="ssc-note"></div>
  </div>

  <details class="ssc-details">
    <summary>Formula &#038; correlation notes</summary>
    <ul>
      <li><b>Wagner saturation (IAPWS):</b> ln(p/pc) = (Tc/T)·(a₁τ + a₂τ^1.5 + a₃τ³ + a₄τ^3.5 + a₅τ⁴ + a₆τ^7.5), τ = 1 − T/Tc</li>
      <li><b>Ideal gas for v<sub>g</sub>:</b> v<sub>g</sub> ≈ R·T/p; ρ<sub>g</sub> = 1/v<sub>g</sub></li>
      <li><b>Watson latent heat:</b> h<sub>fg</sub>(T) = h<sub>fg,ref</sub>·[(1−T/Tc)/(1−T<sub>ref</sub>/Tc)]^0.38</li>
      <li><b>h<sub>g</sub>:</b> h<sub>g</sub> ≈ c<sub>p,g</sub>·T + h₀ (2676 kJ/kg at 100 °C); h<sub>f</sub>=h<sub>g</sub>−h<sub>fg</sub></li>
      <li><b>s<sub>g</sub>:</b> s<sub>g</sub> ≈ c<sub>p,g</sub>·ln(T/T<sub>ref</sub>) − R·ln(p/p<sub>ref</sub>) + s<sub>g,ref</sub>; s<sub>fg</sub>=h<sub>fg</sub>/T; s<sub>f</sub>=s<sub>g</sub>−s<sub>fg</sub></li>
      <li><b>Liquid ρ<sub>f</sub>:</b> Kell (≤100 °C) + smooth fit above 100 °C; v<sub>f</sub>=1/ρ<sub>f</sub>.</li>
    </ul>
  </details>

  <footer class="ssc-footer">
    <small>Credit: <a href="https://chemicalengineeringsite.in/" target="_blank" rel="noopener">chemicalengineeringsite.in</a></small>
  </footer>
</div>

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    }else{
      const p=Number(EL.p.value); if(!isFinite(p)||p<=0){ EL.note.textContent='Enter a valid Pressure.'; return; }
      P=(EL.pUnit.value==='bar')?p:(EL.pUnit.value==='kPa'?p/100:p*10); if(P<0.006||P>221){ EL.note.textContent='Pressure must be 0.006–221 bar(a).'; return; }
      T=Tsat(P);
    }

    const vg_v = vg(T,P), rhog = 1/vg_v;
    const rhof = rhoL(T), vf = 1/rhof;
    const hfgv=hFG(T), hgv=hG(T), hfv=hgv-hfgv;
    const sgv=sG(T,P), sfgv=hfgv/T, sfv=sgv-sfgv;

    EL.oT.textContent=`${round(K2C(T),3)} °C`;
    EL.oP.textContent=`${round(P,5)} bar`;
    EL.ovg.textContent=round(vg_v,6);
    EL.orhog.textContent=round(rhog,5);
    EL.ovf.textContent=round(vf,6);
    EL.orhof.textContent=round(rhof,3);
    EL.ohf.textContent=round(hfv,2);
    EL.ohfg.textContent=round(hfgv,2);
    EL.ohg.textContent=round(hgv,2);
    EL.osf.textContent=round(sfv,4);
    EL.osfg.textContent=round(sfgv,5);
    EL.osg.textContent=round(sgv,4);
    EL.note.textContent='';

    window.__ssc_state={mode, T_in_C:T-273.15, P_in_bar:P};
  }

  function copyResults(){
    const txt = `Saturated Steam Properties
--------------------------
Saturation Temperature (°C): ${EL.oT.textContent}
Saturation Pressure (bar): ${EL.oP.textContent}
Specific Volume (Vapor) v_g (m³/kg): ${EL.ovg.textContent}
Density (Vapor) ρ_g (kg/m³): ${EL.orhog.textContent}
Specific Volume (Liquid) v_f (m³/kg): ${EL.ovf.textContent}
Density (Liquid) ρ_f (kg/m³): ${EL.orhof.textContent}
Enthalpy (Liquid) h_f (kJ/kg): ${EL.ohf.textContent}
Latent Heat h_fg (kJ/kg): ${EL.ohfg.textContent}
Enthalpy (Vapor) h_g (kJ/kg): ${EL.ohg.textContent}
Entropy (Liquid) s_f (kJ/kg·K): ${EL.osf.textContent}
Entropy of Vaporization s_fg (kJ/kg·K): ${EL.osfg.textContent}
Entropy (Vapor) s_g (kJ/kg·K): ${EL.osg.textContent}`;
    navigator.clipboard?.writeText(txt).then(()=>{
      EL.note.style.color='#16a34a'; EL.note.textContent='Results copied.'; setTimeout(()=>{EL.note.textContent=''; EL.note.style.color='';},1400);
    }).catch(()=>{ EL.note.style.color='#b45309'; EL.note.textContent='Copy failed. Select and copy manually.'; });
  }

  // Excel export with row-safe formulas
  function exportExcel(){
    const s=window.__ssc_state; if(!s){ EL.note.style.color='#b45309'; EL.note.textContent='Calculate first.'; return; }

    const modeStr=s.mode||'T2P', T_in_C=+s.T_in_C.toFixed(6), P_in=+s.P_in_bar.toFixed(8);

    // Formula text (for the Formula column)
    const FT = {
      TmodeK: 'IF(Mode="T2P", T_in_C+273.15, T_from_P)',
      TmodeC: 'TmodeK-273.15',
      Pmode:  'IF(Mode="T2P", p_sat(TmodeK), P_in)',
      vg:     'R*TmodeK/(Pmode*100)',
      rhog:   '1/v_g',
      rhof:   'IF(T_C<=100, Kell(T_C), MAX(322, 1000-1.2*ΔT-0.002*ΔT^2))',
      vf:     '1/ρ_f',
      hfg:    'h_fg,ref * ((1 - TmodeK/Tc)/(1 - T_ref/Tc))^0.38',
      hg:     'cp_g*TmodeK + h0',
      hf:     'h_g - h_fg',
      sfg:    'h_fg / TmodeK',
      sg:     's_g,ref + cp_g*ln(TmodeK/T_ref) - R*ln(Pmode/p_ref)',
      sf:     's_g - s_fg'
    };

    // Build the sheet with labels; formulas will be patched by searching labels
    const A = [
      ['Saturated Steam Properties (dynamic Excel)','','',''],
      ['','','',''],
      ['Mode ("T2P" or "P2T")', modeStr,'',''],
      ['Temperature Input (°C)', T_in_C,'','Enter T for T2P'],
      ['Pressure Input (bar a)', P_in,'','Enter P for P2T'],
      ['','','',''],

      // Constants
      ['Constants','Value','Units',''],
      ['Critical Temperature (Tc)', 647.096, 'K',''],
      ['Critical Pressure (pc)', 220.64, 'bar',''],
      ['Gas Constant (steam, R)', 0.461526, 'kJ/(kg·K)',''],
      ['Vapor cp (cp_g)', 1.996, 'kJ/(kg·K)',''],
      ['Reference Temperature (T_ref)', 373.15, 'K',''],
      ['Reference Pressure (p_ref)', 1.01325, 'bar',''],
      ['Latent Heat at 100°C (h_fg,ref)', 2256.9, 'kJ/kg',''],
      ['Reference s_g at 100°C', 7.354, 'kJ/(kg·K)',''],
      ['h0 (for h_g calibration)', {t:'n', f:'2676 - B11*B12'}, 'kJ/kg',''],
      ['','','',''],

      // Mode mapping (+ forward p_sat(TmodeK))
      ['TmodeK (K)', '', 'K', FT.TmodeK],
      ['TmodeC (°C)', '', '°C', FT.TmodeC],
      ['Pmode (bar)', '', 'bar', FT.Pmode],
      ['τ = 1 - T/Tc', '', '', ''],
      ['ln(p/pc)', '', '', ''],
      ['p_sat(T) (bar)', '', 'bar', 'exp(ln(p/pc))*pc'],
      ['','','',''],

      // P->T Newton (T_from_P)
      ['ΔT = 0.005 K', 0.005,'K',''],
      ['P_in (bar)', {t:'n', f:'B5'}, 'bar',''],
      ['T0 (K) seed', '', 'K','MAX(273.15, MIN(Tc-0.01, 273.15+100*(P_in/p_ref)^0.25))'],
      ['p(T0) (bar)', '', 'bar',''],
      ['dp/dT @T0', '', 'bar/K',''],
      ['T1 (K)', '', 'K',''],
      ['p(T1) (bar)', '', 'bar',''],
      ['dp/dT @T1', '', 'bar/K',''],
      ['T2 (K)', '', 'K',''],
      ['p(T2) (bar)', '', 'bar',''],
      ['dp/dT @T2', '', 'bar/K',''],
      ['T3 (K)', '', 'K',''],
      ['p(T3) (bar)', '', 'bar',''],
      ['dp/dT @T3', '', 'bar/K',''],
      ['T4 (K)', '', 'K',''],
      ['p(T4) (bar)', '', 'bar',''],
      ['dp/dT @T4', '', 'bar/K',''],
      ['T_from_P (K)', '', 'K',''],
      ['','','',''],

      // Helpers for liquid density
      ['T_C (°C)', '', '°C','TmodeK - 273.15'],
      ['ΔT (°C) = max(T_C-100,0)', '', '°C','MAX(T_C-100,0)'],
      ['','','',''],

      // RESULTS
      ['Property','Value','Units','Formula'],
      ['Saturation Temperature (K)', '', 'K', FT.TmodeK],
      ['Saturation Temperature (°C)', '', '°C', FT.TmodeC],
      ['Saturation Pressure (bar)', '', 'bar', FT.Pmode],
      ['Specific Volume (Vapor) v_g', '', 'm³/kg', FT.vg],
      ['Density (Vapor) ρ_g', '', 'kg/m³', FT.rhog],
      ['Density (Liquid) ρ_f', '', 'kg/m³', FT.rhof],
      ['Specific Volume (Liquid) v_f', '', 'm³/kg', FT.vf],
      ['Latent Heat h_fg', '', 'kJ/kg', FT.hfg],
      ['Enthalpy (Vapor) h_g', '', 'kJ/kg', FT.hg],
      ['Enthalpy (Liquid) h_f', '', 'kJ/kg', FT.hf],
      ['Entropy of Vaporization s_fg', '', 'kJ/kg·K', FT.sfg],
      ['Entropy (Vapor) s_g', '', 'kJ/kg·K', FT.sg],
      ['Entropy (Liquid) s_f', '', 'kJ/kg·K', FT.sf],
      ['','','',''],
      ['Source: chemicalengineeringsite.in','','','']
    ];

    // Create sheet
    const ws = XLSX.utils.aoa_to_sheet(A);
    ws['!cols']=[{wch:44},{wch:22},{wch:14},{wch:46}];
    ws['!freeze']={xSplit:1,ySplit:7};

    // Helper to find row by left label
    function rowOf(label){
      for(const addr in ws){
        if(!/^[A-Z]+[0-9]+$/.test(addr)) continue;
        const c = ws[addr];
        if(c && c.v === label && addr.startsWith('A')) return parseInt(addr.replace(/^[A-Z]+/,''),10);
      }
      return null;
    }
    const setB = (row, f) => { ws['B'+row] = {t:'n', f}; };

    // Grab rows for constants
    const rTc=rowOf('Critical Temperature (Tc)'),
          rpc=rowOf('Critical Pressure (pc)'),
          rR=rowOf('Gas Constant (steam, R)'),
          rcp=rowOf('Vapor cp (cp_g)'),
          rTref=rowOf('Reference Temperature (T_ref)'),
          rPref=rowOf('Reference Pressure (p_ref)'),
          rhfgref=rowOf('Latent Heat at 100°C (h_fg,ref)'),
          rsgref=rowOf('Reference s_g at 100°C'),
          rh0=rowOf('h0 (for h_g calibration)');

    // Mode rows & Wagner forward
    const rTmodeK=rowOf('TmodeK (K)'),
          rTmodeC=rowOf('TmodeC (°C)'),
          rPmode=rowOf('Pmode (bar)'),
          rtau=rowOf('τ = 1 - T/Tc'),
          rln=rowOf('ln(p/pc)'),
          rpsat=rowOf('p_sat(T) (bar)');

    // Newton block (P→T)
    const rDelta=rowOf('ΔT = 0.005 K'),
          rPin=rowOf('P_in (bar)'),
          rT0=rowOf('T0 (K) seed'),
          rPT0=rowOf('p(T0) (bar)'),
          rdp0=rowOf('dp/dT @T0'),
          rT1=rowOf('T1 (K)'),
          rPT1=rowOf('p(T1) (bar)'),
          rdp1=rowOf('dp/dT @T1'),
          rT2=rowOf('T2 (K)'),
          rPT2=rowOf('p(T2) (bar)'),
          rdp2=rowOf('dp/dT @T2'),
          rT3=rowOf('T3 (K)'),
          rPT3=rowOf('p(T3) (bar)'),
          rdp3=rowOf('dp/dT @T3'),
          rT4=rowOf('T4 (K)'),
          rPT4=rowOf('p(T4) (bar)'),
          rdp4=rowOf('dp/dT @T4'),
          rTfromP=rowOf('T_from_P (K)');

    // Liquid helpers
    const rTC=rowOf('T_C (°C)'),
          rDT=rowOf('ΔT (°C) = max(T_C-100,0)');

    // Results rows
    const rResTK=rowOf('Saturation Temperature (K)'),
          rResTC=rowOf('Saturation Temperature (°C)'),
          rResP=rowOf('Saturation Pressure (bar)'),
          rVG=rowOf('Specific Volume (Vapor) v_g'),
          rRG=rowOf('Density (Vapor) ρ_g'),
          rRF=rowOf('Density (Liquid) ρ_f'),
          rVF=rowOf('Specific Volume (Liquid) v_f'),
          rHFG=rowOf('Latent Heat h_fg'),
          rHG=rowOf('Enthalpy (Vapor) h_g'),
          rHF=rowOf('Enthalpy (Liquid) h_f'),
          rSFG=rowOf('Entropy of Vaporization s_fg'),
          rSG=rowOf('Entropy (Vapor) s_g'),
          rSF=rowOf('Entropy (Liquid) s_f');

    // === Fill mode mapping ===
    setB(rTmodeK, `IF(B3="T2P", B4+273.15, B${rTfromP})`);
    setB(rTmodeC, `B${rTmodeK}-273.15`);
    setB(rPmode,  `IF(B3="T2P", B${rpsat}, B5)`);

    // Wagner forward at TmodeK
    setB(rtau, `1 - B${rTmodeK}/B${rTc}`);
    setB(rln,  `(B${rTc}/B${rTmodeK})*( -7.85951783*B${rtau} + 1.84408259*POWER(B${rtau},1.5) -11.7866497*POWER(B${rtau},3) +22.6807411*POWER(B${rtau},3.5) -15.9618719*POWER(B${rtau},4) +1.80122502*POWER(B${rtau},7.5) )`);
    setB(rpsat, `EXP(B${rln})*B${rpc}`);

    // Newton P→T (5 iterations, central derivative)
    setB(rT0,  `MAX(273.15, MIN(B${rTc}-0.01, 273.15 + 100*POWER(B${rPin}/B${rPref},0.25)))`);
    function p_of(rowT){ return `EXP((B${rTc}/B${rowT})*( -7.85951783*(1-B${rowT}/B${rTc}) + 1.84408259*POWER(1-B${rowT}/B${rTc},1.5) -11.7866497*POWER(1-B${rowT}/B${rTc},3) +22.6807411*POWER(1-B${rowT}/B${rTc},3.5) -15.9618719*POWER(1-B${rowT}/B${rTc},4) +1.80122502*POWER(1-B${rowT}/B${rTc},7.5) ))*B${rpc}`; }
    function dpdt(rowT){ return `( ${p_of(rowT+'+'+rDelta)} - ${p_of(rowT+'-'+rDelta)} )/(2*B${rDelta})`; }
    setB(rPT0, p_of(rT0)); setB(rdp0, dpdt(rT0)); setB(rT1, `MAX(273.15, MIN(B${rTc}-1E-6, B${rT0} - (B${rPT0} - B${rPin})/B${rdp0} ))`);
    setB(rPT1, p_of(rT1)); setB(rdp1, dpdt(rT1)); setB(rT2, `MAX(273.15, MIN(B${rTc}-1E-6, B${rT1} - (B${rPT1} - B${rPin})/B${rdp1} ))`);
    setB(rPT2, p_of(rT2)); setB(rdp2, dpdt(rT2)); setB(rT3, `MAX(273.15, MIN(B${rTc}-1E-6, B${rT2} - (B${rPT2} - B${rPin})/B${rdp2} ))`);
    setB(rPT3, p_of(rT3)); setB(rdp3, dpdt(rT3)); setB(rT4, `MAX(273.15, MIN(B${rTc}-1E-6, B${rT3} - (B${rPT3} - B${rPin})/B${rdp3} ))`);
    setB(rPT4, p_of(rT4)); setB(rdp4, dpdt(rT4)); setB(rTfromP, `MAX(273.15, MIN(B${rTc}-1E-6, B${rT4} - (B${rPT4} - B${rPin})/B${rdp4} ))`);

    // Liquid helpers
    setB(rTC, `B${rTmodeK}-273.15`);
    setB(rDT, `MAX(B${rTC}-100,0)`);

    // Results (all VALUE cells)
    setB(rResTK, `B${rTmodeK}`);
    setB(rResTC, `B${rTmodeC}`);
    setB(rResP,  `B${rPmode}`);
    setB(rVG,    `B${rR}*B${rTmodeK}/(B${rPmode}*100)`);
    setB(rRG,    `1/B${rVG}`);
    // ρ_f
    setB(rRF,    `IF(B${rTC}<=100, 1000*(1 - ((B${rTC}+288.9414)/(508929.2*(B${rTC}+68.12963)))*POWER(B${rTC}-3.9863,2)), MAX(322, 1000 - 1.2*B${rDT} - 0.002*POWER(B${rDT},2)))`);
    // v_f = 1/ρ_f
    setB(rVF,    `1/B${rRF}`);
    setB(rHFG,   `B${rhfgref}*POWER((1 - B${rTmodeK}/B${rTc})/(1 - B${rTref}/B${rTc}), 0.38)`);
    setB(rHG,    `B${rcp}*B${rTmodeK} + B${rh0}`);
    setB(rHF,    `B${rHG} - B${rHFG}`);
    setB(rSFG,   `B${rHFG} / B${rTmodeK}`);
    setB(rSG,    `B${rsgref} + B${rcp}*LN(B${rTmodeK}/B${rTref}) - B${rR}*LN(B${rPmode}/B${rPref})`);
    setB(rSF,    `B${rSG} - B${rSFG}`);

    // Make source clickable
    const lastRow = Math.max(...Object.keys(ws).filter(k=>/^[A-Z]+\d+$/.test(k)).map(k=>+k.replace(/^[A-Z]+/,'')));
    ws['A'+lastRow] = { t:'s', v:'Source: chemicalengineeringsite.in', l:{ Target:'https://chemicalengineeringsite.in/' } };

    const wb=XLSX.utils.book_new();
    XLSX.utils.book_append_sheet(wb, ws, 'SatSteam');
    const ts=new Date().toISOString().slice(0,19).replace(/[:T]/g,'-');
    XLSX.writeFile(wb, `saturated_steam_dynamic_${ts}.xlsx`);
  }

  // Wire up
  EL.btnCalc.addEventListener('click', calculate);
  EL.btnReset.addEventListener('click', ()=>{ EL.t.value=''; EL.p.value=''; EL.tUnit.value='C'; EL.pUnit.value='bar'; clearOut(); });
  EL.btnCopy.addEventListener('click', copyResults);
  EL.btnExport.addEventListener('click', exportExcel);
  ['ssc-temp','ssc-press'].forEach(id=>$(id).addEventListener('keydown', e=>{ if(e.key==='Enter'){ e.preventDefault(); calculate(); }}));
})();
</script>
<!-- /Saturated Steam Properties Calculator + Excel Export -->

<p>The post <a href="https://chemicalengineeringsite.in/saturated-steam-properties-calculator/">Saturated Steam Properties Calculator</a> appeared first on <a href="https://chemicalengineeringsite.in">Chemical Engineering Site</a>.</p>
]]></content:encoded>
					
		
		
			</item>
		<item>
		<title>Piping and Instrumentation Diagram &#8211; P&#038;ID</title>
		<link>https://chemicalengineeringsite.in/piping-and-instrumentation-diagram-pid/</link>
					<comments>https://chemicalengineeringsite.in/piping-and-instrumentation-diagram-pid/#respond</comments>
		
		<dc:creator><![CDATA[chemicalengineeringsite]]></dc:creator>
		<pubDate>Sun, 20 Aug 2017 16:53:43 +0000</pubDate>
				<category><![CDATA[Basics]]></category>
		<category><![CDATA[Resources]]></category>
		<category><![CDATA[Chemical Engineering Software]]></category>
		<category><![CDATA[PFD]]></category>
		<category><![CDATA[Process Engineer]]></category>
		<category><![CDATA[Process engineering]]></category>
		<guid isPermaLink="false">http://chemicalengineeringsite.in/?p=690</guid>

					<description><![CDATA[<p>What is P&#38;ID? P&#38;ID is the diagram which shows the interconnection of process equipment and the instrumentation used to control the process. The uses of P&#38;ID are as follows P&#38;ID is the basis for developing the control systems in the chemical process. It helps in Equipment design and Piping design and also serves to estimate [&#8230;]</p>
<p>The post <a href="https://chemicalengineeringsite.in/piping-and-instrumentation-diagram-pid/">Piping and Instrumentation Diagram &#8211; P&#038;ID</a> appeared first on <a href="https://chemicalengineeringsite.in">Chemical Engineering Site</a>.</p>
]]></description>
										<content:encoded><![CDATA[<h2>What is P&amp;ID?</h2>
<p>P&amp;ID is the diagram which shows the interconnection of process equipment and the instrumentation used to control the process.</p>
<p>The uses of P&amp;ID are as follows</p>
<ul>
<li>P&amp;ID is the basis for developing the control systems in the chemical process.</li>
<li>It helps in Equipment design and Piping design and also serves to estimate the capital cost.</li>
<li><a href="http://chemicalengineeringsite.in/hazop-study-basics/">Hazard and Operability (HAZOP) Study</a> is performed during the design stage with the help of P&amp;I diagram.</li>
<li>It will assist in preparing Commissioning procedure, Pre-Startup Safety Review, Standard Operating Procedures for Startup, Normal operation and Shutdown.</li>
<li>It also assists in preparing <a href="http://chemicalengineeringsite.in/preparing-chemical-plant-operating-manual/">Plant Operating manual</a></li>
<li>Control narrative and Interlock narratives will be prepared by having P&amp;ID as the basis.</li>
<li>It will help to prepare the Instrument Index and other will serve as a reference for creating other datasheets.</li>
<li>It acts as a <a href="http://chemicalengineeringsite.in/beacon-newbie-process-engineer-chemical-industry/">beacon for newbie process engineer</a> in a Chemical Industry.</li>
<li>P&amp; ID also helps in Incident investigations to find out What Went Wrong through root cause analysis.</li>
<li>It helps in evolving maintenance procedures of equipment. It helps to visualize the interconnecting systems with the equipment and planning for proper isolation can be done.</li>
</ul>
<h2>What is the difference between P&amp;ID and PFD?</h2>
<p>Process Flow Diagram (PFD) is used for indicating the general flow of process and equipment. It helps to visualize the overall process of the in a chemical plant.</p>
<p>PFD will contain main process piping, Main equipment number, Equipment Name, Flow directions, Major bypass lines, Critical Control Valves that affects the process, Stream Number, Stream Designation, Process parameters like operating temperature, operating pressure, flow rate, Composition and heat duty of heat transfer equipment.</p>
<p>PFD will not contain Piping size and classification, Process control Instrumentation details like Transmitters, Control valves, Design Temperature and Pressure, Material of Construction of Equipment and piping, Mechanical Valves for isolation, Vents and Drains, Relief valves &amp; Safety Valves.</p>
<p>P&amp;ID will contain Equipment number, Equipment Name, Process and Utility piping, Piping size and classification, Instrumentation details like Transmitters, Control valves with their numbers, Control input and output, Annunciation input, SIS input, solenoid valves, On-off valves, Motorised valves, Relief valves, All Mechanical valves Miscellaneous items like strainers, Vents, drains, Silencers, standpipes etc, Vendor items and interfaces, Equipment design pressure, Temperature and Material of Construction, Free draining requirements etc. P&amp;ID will also have general notes that will assist during Detailed Engineering, Erection and Commissioning phase. Though it is not an exhaustive list, Our P&amp;ID Check list in the trailing part of this post will help you to explore in detail about Piping and Instrumentation Diagrams.</p>
<p>P&amp;ID will not contain Operating parameters, Equipment elevation details, Elbows, MTO, etc. It is not drawn to scale and hence geometric accuracy can not be expected out of P&amp;ID.</p>
<h2>P&amp;ID Symbols</h2>
<p>The instrumentation symbols used in P&amp;ID are as per ISA-S5.1 standard &#8211;  Instrumentation Symbols and Identification. For <span id="Symbols_of_chemical_apparatus_and_equipment" class="mw-headline">Symbols of chemical apparatus and equipment normally ISO, JIS, DIN or PIP standards are followed. </span></p>
<figure id="attachment_703" aria-describedby="caption-attachment-703" style="width: 1200px" class="wp-caption aligncenter"><img fetchpriority="high" decoding="async" class="wp-image-703 size-full" src="http://chemicalengineeringsite.in/wp-content/uploads/2017/08/Piping-and-Insrumentation-Diagram-PID.png" alt="P&amp;ID " width="1200" height="849" srcset="https://chemicalengineeringsite.in/wp-content/uploads/2017/08/Piping-and-Insrumentation-Diagram-PID.png 1200w, https://chemicalengineeringsite.in/wp-content/uploads/2017/08/Piping-and-Insrumentation-Diagram-PID-300x212.png 300w, https://chemicalengineeringsite.in/wp-content/uploads/2017/08/Piping-and-Insrumentation-Diagram-PID-768x543.png 768w, https://chemicalengineeringsite.in/wp-content/uploads/2017/08/Piping-and-Insrumentation-Diagram-PID-1024x724.png 1024w" sizes="(max-width: 1200px) 100vw, 1200px" /><figcaption id="caption-attachment-703" class="wp-caption-text">An Example Diagram from Wikipedia</figcaption></figure>
<h2>What are the Softwares available to make P&amp;ID?</h2>
<p>There is some renowned P&amp;ID software available that can be used online and offline. It saves time in creating a P&amp;ID with the help of simple user-friendly tools available in them. Some of them are,</p>
<p><a href="http://bit.ly/2uKVHwH">Autocad </a>is one of the worlds leading design and drafting software used by many of the <a href="http://chemicalengineeringsite.in/career-chemical-process-design-companies/">Chemical Process Design companies</a> for preparing P&amp;ID. 2D and 3D design drawings also can be made out of it.</p>
<p><a href="http://chemicalengineeringsite.in/ms-visio-chemical-engineers/">MS-Visio</a> is very useful offline software for Chemical Engineers to prepare PFD, P&amp; ID and other diagrams in a simple way by just dragging and dropping the symbols.</p>
<p><a href="http://bit.ly/2i1aAZQ">Lucidchart </a>is an online software for preparing P&amp;I diagrams in a fast manner. Anyone can make the drawing with a drag and drop option. This simple and efficient software also has the functionality to import and export from MS- Visio.</p>
<h2>P&amp;ID Review Checklist</h2>
<p>Chemical Engineer must review the P&amp;ID before finalizing them for implementation. Our exhaustive Excel P&amp;ID Review Checklist helps to review the P&amp;ID to make it fit based on Safety, Erection, Commissioning and Operation aspects.</p>
<p><img decoding="async" class="alignnone size-full wp-image-707" src="http://chemicalengineeringsite.in/wp-content/uploads/2017/08/PID-Review-Checklist.jpg" alt="P&amp;ID Review Checklist" width="1022" height="844" srcset="https://chemicalengineeringsite.in/wp-content/uploads/2017/08/PID-Review-Checklist.jpg 1022w, https://chemicalengineeringsite.in/wp-content/uploads/2017/08/PID-Review-Checklist-300x248.jpg 300w, https://chemicalengineeringsite.in/wp-content/uploads/2017/08/PID-Review-Checklist-768x634.jpg 768w" sizes="(max-width: 1022px) 100vw, 1022px" /></p>
<h3>Download the <a href="http://chemicalengineeringsite.in/wp-content/uploads/2017/08/PID-Review-Checklist.xlsx">P&amp;ID Review Checklist</a> as Excel file</h3>
<p>If you find anything missing in our checklist, feel free to mail to us so that we will add them.</p>


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		<title>MS- VISIO for Chemical Engineers</title>
		<link>https://chemicalengineeringsite.in/ms-visio-chemical-engineers/</link>
					<comments>https://chemicalengineeringsite.in/ms-visio-chemical-engineers/#respond</comments>
		
		<dc:creator><![CDATA[chemicalengineeringsite]]></dc:creator>
		<pubDate>Wed, 09 Nov 2016 13:15:13 +0000</pubDate>
				<category><![CDATA[Resources]]></category>
		<category><![CDATA[Chemical Engineering Software]]></category>
		<category><![CDATA[P&ID]]></category>
		<category><![CDATA[PFD]]></category>
		<category><![CDATA[Process engineering]]></category>
		<guid isPermaLink="false">http://chemicalengineeringsite.in/?p=187</guid>

					<description><![CDATA[<p>Microsoft software VISIO is very useful tool for Chemical Engineers to prepare PFD, P&#38; ID and other diagrams in a simple way by just dragging and dropping the symbols. We shall see how MS VISIO&#160;helps a Chemical&#160;Engineer in this article. PFD and P&#38; ID Preparation in Visio Process Flow Diagram (PFD) and Piping and Instrumentation [&#8230;]</p>
<p>The post <a href="https://chemicalengineeringsite.in/ms-visio-chemical-engineers/">MS- VISIO for Chemical Engineers</a> appeared first on <a href="https://chemicalengineeringsite.in">Chemical Engineering Site</a>.</p>
]]></description>
										<content:encoded><![CDATA[<p>Microsoft software VISIO is very useful tool for Chemical Engineers to prepare PFD, P&amp; ID and other diagrams in a simple way by just dragging and dropping the symbols. We shall see how <strong><em>MS VISIO</em></strong>&nbsp;helps a Chemical&nbsp;Engineer in this article.</p>
<h2>PFD and P&amp; ID Preparation in Visio</h2>
<p><img loading="lazy" decoding="async" class="alignnone size-full wp-image-188" src="http://chemicalengineeringsite.in/wp-content/uploads/2016/11/PFD-using-Visio.jpg" alt="MS Visio PFD" width="1281" height="742" srcset="https://chemicalengineeringsite.in/wp-content/uploads/2016/11/PFD-using-Visio.jpg 1281w, https://chemicalengineeringsite.in/wp-content/uploads/2016/11/PFD-using-Visio-300x174.jpg 300w, https://chemicalengineeringsite.in/wp-content/uploads/2016/11/PFD-using-Visio-768x445.jpg 768w, https://chemicalengineeringsite.in/wp-content/uploads/2016/11/PFD-using-Visio-1024x593.jpg 1024w" sizes="auto, (max-width: 1281px) 100vw, 1281px" /></p>
<p>Process Flow Diagram (PFD) and Piping and Instrumentation diagram (P&amp; ID) can be prepared with the help of this software easily. The available tools for creating the diagram is customized and made available as icons under the topics Equipments – General, <a href="http://chemicalengineeringsite.in/heat-exchangers-chemical-industry/">Heat Exchangers</a>, Pumps, Vessels, Instruments, Pipelines, valves &amp; Fittings. Once can also use the search box to find out the needed equipment. Other simple customizations can be done like any other MS – Office software like Changing the color, Font size and Inserting symbols which is helpful in creating colorful PFD/ P&amp; ID’s for presentation purpose. It is possible to save the diagrams as VISIO files or simple images. The other use is we can simply copy the equipments from VISIO and paste it as image wherever we need.</p>
<h2>Other Applications of VISIO</h2>
<p><img loading="lazy" decoding="async" class="size-full wp-image-189 alignleft" src="http://chemicalengineeringsite.in/wp-content/uploads/2016/11/MS-Visio-Applications.jpg" alt="MS Visio Applications" width="300" height="220"></p>
<p>Organization charts for the department or for an Industry can also be effectively created with the help of VISIO. Gantt Charts can be created by using MS – VISIO to schedule project tasks and communicate them visually to team members. Program Evaluation and Review Technique (PERT) chart can be prepared which is a useful tool for Project managers. Brainstorming diagrams available in MS-VISIO Swill help to conduct a brainstorming session in effectively capturing and organizing the ideas.</p>
<p>It also helps to prepare Plant layout and site layout. Cause and effect diagrams which is also known as fishbone or Ishikawa diagrams can be made using VISIO. This will Show factors and causal relationships in a given situation. Fault tree analysis diagrams show and analyzes faults in processes. Basic electrical diagrams, Circuits and logic diagrams, Industrial control systems diagrams will be helpful for creation of circuit diagrams and other Interlock diagrams. These will be very useful for Electrical engineers and Instruments Engineers also.</p>
<p>Hope this review will be helpful to understand the uses of MS- VISIO. If so, Share this with friends</p>


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<p>The post <a href="https://chemicalengineeringsite.in/ms-visio-chemical-engineers/">MS- VISIO for Chemical Engineers</a> appeared first on <a href="https://chemicalengineeringsite.in">Chemical Engineering Site</a>.</p>
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