Coating Cure Time and Temperature Calculator
ANA›Life Services Authority›National Calculator Authority›Coating Cure Time and Temperature Calculator
.calc-container { max-width: 640px; margin: 2rem 0; padding: 1.5rem; background: #fff; border: 1px solid #ddd; border-radius: 8px; box-shadow: 0 1px 3px rgba(0,0,0,0.06); font-family: system-ui, -apple-system, sans-serif; } .calc-container h3 { font-family: Georgia, serif; font-size: 1.15rem; color: #1a1a1a; margin-bottom: 1rem; padding-bottom: 0.5rem; border-bottom: 2px solid var(--ac, #3d5a80); } .calc-row { display: flex; align-items: center; gap: 0.75rem; margin-bottom: 0.75rem; flex-wrap: wrap; } .calc-row label { min-width: 160px; font-size: 0.9rem; color: #333; font-weight: 500; } .calc-row input[type="number"], .calc-row select { flex: 1; min-width: 120px; max-width: 200px; padding: 0.5rem 0.6rem; border: 1px solid #ccc; border-radius: 4px; font-size: 0.9rem; font-family: system-ui, sans-serif; color: #1a1a1a; background: #fafaf8; } .calc-row input:focus, .calc-row select:focus { outline: none; border-color: var(--ac, #3d5a80); box-shadow: 0 0 0 2px rgba(26,74,138,0.12); } .calc-row .unit { font-size: 0.82rem; color: #888; min-width: 30px; } .calc-btn { display: inline-block; margin-top: 0.5rem; padding: 0.55rem 1.5rem; background: var(--ac, #3d5a80); color: #fff; border: none; border-radius: 4px; font-size: 0.9rem; font-weight: 600; cursor: pointer; font-family: system-ui, sans-serif; } .calc-btn:hover { opacity: 0.9; } .calc-result { margin-top: 1.25rem; padding: 1rem 1.25rem; background: #f0f6fc; border-left: 3px solid var(--ac, #3d5a80); border-radius: 0 6px 6px 0; display: none; } .calc-result.visible { display: block; } .calc-result-label { font-size: 0.78rem; text-transform: uppercase; letter-spacing: 0.06em; color: #666; margin-bottom: 0.25rem; } .calc-result-value { font-size: 1.6rem; font-weight: 700; color: var(--ac, #3d5a80); } .calc-result-detail { font-size: 0.85rem; color: #555; margin-top: 0.5rem; line-height: 1.5; } .calc-note { margin-top: 1rem; font-size: 0.8rem; color: #888; font-style: italic; } .calc-grid { display: grid; grid-template-columns: 1fr 1fr; gap: 0.75rem; margin-top: 0.75rem; } .calc-grid-item { padding: 0.6rem 0.8rem; background: #f8f9fa; border-radius: 4px; border: 1px solid #eee; } .calc-grid-item .label { font-size: 0.75rem; color: #888; text-transform: uppercase; letter-spacing: 0.04em; } .calc-grid-item .value { font-size: 1.1rem; font-weight: 600; color: #1a1a1a; } @media (max-width: 720px) { .calc-row { flex-direction: column; align-items: flex-start; gap: 0.3rem; } .calc-row label { min-width: auto; } .calc-row input[type="number"], .calc-row select { max-width: 100%; width: 100%; } .calc-grid { grid-template-columns: 1fr; } } .calc-chart { margin: 1rem 0; text-align: center; } .calc-chart svg { max-width: 100%; height: auto; } .calc-chart-legend { display: flex; flex-wrap: wrap; justify-content: center; gap: 0.6rem 1.2rem; margin-top: 0.6rem; font-size: 0.8rem; color: #555; } .calc-chart-legend span { display: inline-flex; align-items: center; gap: 0.3rem; } .calc-chart-legend i { display: inline-block; width: 10px; height: 10px; border-radius: 2px; font-style: normal; } .calc-related { max-width: 640px; margin: 2rem 0 1rem; padding: 1.25rem 1.5rem; background: #f8f9fa; border: 1px solid #e8e8e8; border-radius: 8px; } .calc-related h3 { font-family: Georgia, serif; font-size: 1rem; color: #1a1a1a; margin: 0 0 0.75rem; padding-bottom: 0.4rem; border-bottom: 2px solid var(--ac, #3d5a80); } .calc-related-list { list-style: none; padding: 0; margin: 0 0 0.75rem; display: grid; grid-template-columns: 1fr 1fr; gap: 0.4rem 1.5rem; } .calc-related-list li a { font-size: 0.88rem; color: var(--ac, #3d5a80); text-decoration: none; } .calc-related-list li a:hover { text-decoration: underline; } .calc-browse-all { margin: 0.5rem 0 0; font-size: 0.9rem; font-weight: 600; } .calc-browse-all a { color: var(--ac, #3d5a80); text-decoration: none; } .calc-browse-all a:hover { text-decoration: underline; } @media (max-width: 720px) { .calc-related-list { grid-template-columns: 1fr; } }
Coating Cure Time and Temperature Calculator
Calculate the adjusted cure time for a coating at a different temperature using the Arrhenius equation. Based on a known cure time and temperature, this tool predicts how long curing will take at a new temperature.
Reference Cure Time (minutes)
Reference Cure Temperature (°C)
New Cure Temperature (°C)
Activation Energy, Eₐ (kJ/mol)
Typical range: 40–100 kJ/mol for most coatings. Default: 50 kJ/mol if unknown.
Calculate
function coaCalc() { const resultDiv = document.getElementById('coa-result');
const t1Raw = document.getElementById('coa-t1').value.trim(); const temp1Raw = document.getElementById('coa-temp1').value.trim(); const temp2Raw = document.getElementById('coa-temp2').value.trim(); const eaRaw = document.getElementById('coa-ea').value.trim();
// Validation if (t1Raw === '' || temp1Raw === '' || temp2Raw === '') { resultDiv.innerHTML = 'Please fill in all required fields (Cure Time, Reference Temperature, New Temperature).'; return; }
const t1 = parseFloat(t1Raw); const temp1C = parseFloat(temp1Raw); const temp2C = parseFloat(temp2Raw); const Ea = eaRaw === '' ? 50.0 : parseFloat(eaRaw);
if (isNaN(t1) || isNaN(temp1C) || isNaN(temp2C) || isNaN(Ea)) { resultDiv.innerHTML = 'All inputs must be valid numbers.'; return; } if (t1 Reference cure time must be greater than 0.'; return; } if (Ea Activation energy must be greater than 0.'; return; } if (temp1C Temperature cannot be below absolute zero (−273.15 °C).'; return; } if (temp1C === temp2C) { resultDiv.innerHTML = 'Reference and new temperatures are the same — cure time is unchanged.'; return; }
// Convert to Kelvin const R = 8.314e-3; // kJ/(mol·K) const T1 = temp1C + 273.15; const T2 = temp2C + 273.15;
// Arrhenius ratio: t2/t1 = exp((Ea/R) * (1/T2 - 1/T1)) const exponent = (Ea / R) * ((1 / T2) - (1 / T1)); const ratio = Math.exp(exponent); const t2 = t1 * ratio;
// Rule of 10 (Q10 = 2): t2 = t1 * 2^((T1-T2)/10) const q10Ratio = Math.pow(2, (temp1C - temp2C) / 10); const t2_q10 = t1 * q10Ratio;
// Format time helper function formatTime(minutes) { if (minutes temp1C ? 'higher' : 'lower'; const effect = temp2C > temp1C ? 'shorter' : 'longer';
resultDiv.innerHTML = '### Results ' + '' + 'ParameterValue' + 'Reference Cure Time (T₁ = ' + temp1C.toFixed(1) + ' °C)' + formatTime(t1) + '' + 'New Temperature (T₂)' + temp2C.toFixed(1) + ' °C' + 'Activation Energy (Eₐ)' + Ea.toFixed(1) + ' kJ/mol' + 'Time Ratio (t₂/t₁) — Arrhenius' + ratio.toFixed(4) + '' + 'Adjusted Cure Time (Arrhenius)' + formatTime(t2) + '' + 'Adjusted Cure Time (Q10 Rule, Q10=2)' + formatTime(t2_q10) + '' + '' + 'At a ' + direction + ' temperature of ' + temp2C.toFixed(1) + ' °C, the cure time is ' + effect + ': approximately ' + formatTime(t2) + ' (Arrhenius method).
'; }
#### Formula
Arrhenius Equation (primary method):
t₂ = t₁ × exp[(Eₐ / R) × (1/T₂ − 1/T₁)]
- t₁ = known cure time at reference temperature T₁
- t₂ = adjusted cure time at new temperature T₂
- Eₐ = activation energy (kJ/mol)
- R = universal gas constant = 8.314 × 10⁻³ kJ/(mol·K)
- T₁, T₂ = temperatures in Kelvin (°C + 273.15)
Q10 Rule of Thumb (secondary method):
t₂ = t₁ × 2^((T₁ − T₂) / 10)
Assumes reaction rate doubles for every 10 °C increase in temperature (Q10 = 2).
#### Assumptions & References
- References: Arrhenius, S. (1889). Über die Reaktionsgeschwindigkeit; ASTM D1640 (Standard Test Methods for Drying, Curing, or Film Formation of Organic Coatings).
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