An unknown material has a normal melting/freezing point of -26.9 °C, and the liquid phase has a specific heat capacity o

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An unknown material has a normal melting/freezing point
of -26.9 °C, and the liquid phase has a specific heat
capacity of 165 J/(kg C°). One-tenth of a kilogram of the
solid at -26.9 °C is put into a 0.194-kg aluminum
calorimeter cup that contains 0.160 kg of glycerin. The
temperature of the cup and the glycerin is
initially 28.1 °C. All the unknown material melts, and
the final temperature at equilibrium is 18.1 °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?