Answer to Question #76832 in Molecular Physics | Thermodynamics for Chris

Question

An unknown material has a normal melting/freezing point of -27.8 °C, and the liquid phase has a specific heat capacity of 157 J/(kg C°). One-tenth of a kilogram of the solid at -27.8 °C is put into a 0.169-kg aluminum calorimeter cup that contains 0.101 kg of glycerin. The temperature of the cup and the glycerin is initially 26.6 °C. All the unknown material melts, and the final temperature at equilibrium is 18.3 °C. The calorimeter neither loses energy to nor gains energy from the external environment. What is the latent heat of fusion of the unknown material?