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? Units is J/kg.