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.
Typical range: 40–100 kJ/mol for most coatings. Default: 50 kJ/mol if unknown.
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
- The Arrhenius equation assumes a single dominant chemical reaction governs the cure process.
- Activation energy (Eₐ) typically ranges from 40–100 kJ/mol for common industrial coatings; 50 kJ/mol is a reasonable default when unknown.
- The Q10 rule (rate doubles per 10 °C) is a widely used approximation in coatings and adhesives industries.
- Temperatures must be above absolute zero (−273.15 °C); practical coating cure temperatures are typically 0–250 °C.
- This calculator does not account for humidity, substrate type, film thickness, or multi-stage cure mechanisms.
- References: Arrhenius, S. (1889). Über die Reaktionsgeschwindigkeit; ASTM D1640 (Standard Test Methods for Drying, Curing, or Film Formation of Organic Coatings).