Question
70 calories of heat are required to raise the temperature of two moles of an ideal gas by 5°C at constant pressure. Find the amount of heat required to raise the temperature of same gas through 5°C at constant volume.
Solution
Given,
Heat required to raise the temperature, QP = 70 cal
Number of moles of gas, n = 2 mole
CP = 7 cal/mol/K
Therefore,
Cv = 5 cal/mol/K
Therefore, the quantity of heat required to increase the temperature at constant volume is,