Calorimetry: Two experimental runs are performed to determine the calorimetric properties of an alcohol which has a melting point of -10.0° C. In the first run, a 200-g cube of frozen alcohol, at the melting point, is added to 300 g of water at 20.0°C in a styrofoam container. When thermal equilibrium is reached, the alcohol-water solution is at a temperature of 5.0°C. In the second run, an identical cube of alcohol is added to 500 g of water at 20.0°C and the temperature at thermal equilibrium is 10.0°C. The specific heat capacity of water is 4190 J/kg ? K. Assume no heat is exchanged with the styrofoam container and the surroundings. What is the heat of fusion of the alcohol?
A. 5.5 × 104 J/kg
B. 6.3 × 104 J/kg
C. 7.1 × 104 J/kg
D. 7.9 × 104 J/kg
E. 8.7 × 104 J/kg
Answer: B
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