How much energy is needed to raise the temperature of 500 g of water by 3 °C? What mass of water would the same energy evaporate? (Specific heat capacity 4.2 J g−1 °C−1; latent heat of vaporisation 2400 J g−1.)
- energy = mass × specific heat capacity × temperature change = 500 × 4.2 × 3.
- 500 × 4.2 = 2100, and 2100 × 3 = 6300 J.
- mass evaporated = energy ÷ latent heat = 6300 ÷ 2400 = 2.6 g (to 2 significant figures).
Answer: 6300 J (6.3 kJ), which would evaporate only about 2.6 g of water.