Calorimetry Formula

Measure heat transfer in chemical processes

Formula

q = m c ΔT

  • q = heat absorbed or released (J)
  • m = mass (g)
  • c = specific heat capacity (J·g⁻¹·°C⁻¹)
  • ΔT = Tfinal - Tinitial (°C or K)

Common Specific Heats

Water: 4.184 J·g⁻¹·°C⁻¹

Aluminum: 0.897 J·g⁻¹·°C⁻¹

Copper: 0.385 J·g⁻¹·°C⁻¹

Example

Given: Heat 50.0 g water from 20°C to 80°C.

m = 50.0 g, c = 4.184 J·g⁻¹·°C⁻¹, ΔT = 80 - 20 = 60°C

q = 50.0 × 4.184 × 60 = 12,552 J ≈ 12.6 kJ

Answer: q ≈ 12.6 kJ required

Notes

  • Positive q: heat absorbed (endothermic); negative q: heat released (exothermic).
  • In isolated system: qhot + qcold = 0.
  • Phase changes require separate calculation using ΔHfusion or ΔHvaporization.

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