Two Experimental Runs Are Performed to Determine the Calorimetric Properties

Multiple Choice

Two experimental runs are performed to determine the calorimetric properties of an alcohol which has a melting point of -10° 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°C in a styrofoam container.When thermal equilibrium is reached,the alcohol-water solution is at a temperature of 5°C.In the second run,an identical cube of alcohol is added to 500 g of water at 20°C and the temperature at thermal equilibrium is 10°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 specific heat capacity of the alcohol?

A) 1700 J/kg ∙ K
B) 1900 J/kg ∙ K
C) 2100 J/kg ∙ K
D) 2300 J/kg ∙ K
E) 2500 J/kg ∙ K