The following data was collected by a student performing the DETERMINING THE SPE

Question

The following data was collected by a student performing the DETERMINING THE SPECIFIC HEAT CAPACITY AND MOLAR HEAT CAPACITY OF COPPER portion of the experiment.

A 35.52g copper coil is removed from boiling water and is immediately immersed in a calorimeter with a constant of 63.2J/0C. The calorimeter contains 74.61g of water that is initially at 21.420C. The system reaches equilibrium at a temperature of 24.300C.
What is the molar heat capacity of the copper?
(Specific heat of water is 4.184 J/g0C., Molar mass of copper= 65.39 g/mol)

Explanation / Answer

Initial temprature of Cu = Temp of Boiling Water = 100 C

Moloes of Cu = 35.52/65.39 = 0.497 moles

Assuming Molar heat capacity = x J/mol C

Initial temp of calorimeter = 21.42 C

Equlibirium Temp = 24.3 C

So Conservation of heat energy

0.497*x*(100-24.3) = 63.2*(24.3-21.42) + 74.61*4.184*(24.3-21.42)

=> x = 28.734 J/mol C

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