Assignment:
Suppose that the enthalpy of some substance over a large temperature range can be expressed as a function of the temperature (where alpha, beta and gamma are constants):
H =alpha*ln(T) + ln(gamma) + beta/T^2
a) What is the heat capacity of this substance at constant pressure?
b) You begin with two samples each containing 1 mole of a dilute monatomic gas. One sample (sample A) is kept at constant pressure and the other sample (sample B) is kept at constant volume. Both gas samples are at the same temperature. You now add 3 kJ of energy through heat exchange to both gas samples. What will be the difference in the temperature between the two samples?
Provide complete and step by step solution for the question and show calculations and use formulas.