Problem 85

Given information

Starting from the relationship between temperature and kinetic energy for an ideal gas, find the value of the molar heat capacity of an ideal gas when its temperature is changed at constant volume and its molar heat capacity when its temperature is changed at constant pressure.

Step-by-step explanation

The kinetic energy of the ideal gas in terms of temperature is as follows:

 -----------------(1)

Here,

is the internal energy of the gas.

is the number of moles of gas.

is the gas constant.

is the temperature of the gas.