When the gas is heated at constant pressure, there is increase in its internal energy, temperature and the volume of the gas, on other hand, when the gas is heated at constant volume, then there is increase in the internal energy and the temperature.
The difference between these two processes is, at constant pressure, there is increase in volume in addition because of work is done by the gas to get expansion.
The amount of heat supplied to the gas at constant volume dQ=CvdT
The amount of heat supplied to the gas at constant pressure dQ'=CpdT
dQ'=CvdT+dW, in this equation,
we can understand that only dW term is presented in addition to CvdT.
So, we can write CpdT=CvdT+dW
Generally, under some constant pressure, suppose the gas is moved a distance 'dx'
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