An unknown material has a normal melting/freezing point of -26.3 ° C, and the liquid phase has a specific heat capacity of 160 J/(kg · C °). One-tenth of a kilogram of the solid at -26.3 ° C is put into a 0.143-kg aluminum calorimeter cup that contains 0.095 kg of glycerin. The temperature of the cup and the glycerin is initially 28.3 ° C. All the unknown material melts, and the final temperature at equilibrium is 19.6 ° 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?
J/kg