 # What Is The Difference Between A CP And A CV?

## What does CP and CV mean?

In thermodynamics, the heat capacity ratio or ratio of specific heat capacities (Cp:Cv) is also known as the adiabatic index.

It is the ratio of two specific heat capacities, Cp and Cv is given by: The Heat Capacity at Constant Pressure (Cp)/ Heat capacity at Constant Volume(Cv).

## What is the difference between CP and CV which one is larger and why?

Cp is greater than the molar specific heat at constant volume Cv because energy must now be supplied not only to raise the temperature of the gas but also for the gas to do work. … More heat would be required at constant pressure to cause the same temperature rise and Cp will be greater than Cv.

## Is CP constant for ideal gas?

For monatomic ideal gases, CV and CP are independent of temperature. … For many purposes they can be taken to be constant over rather wide temperature ranges. For real substances, CV is a weak function of volume, and CP is a weak function of pressure.

## What is the ratio of CP CV?

The heat capacity at constant volume, Cv, is the derivative of the internal energy with respect to the temperature, so for our monoatomic gas, Cv = 3/2 R. The heat capacity at constant pressure can be estimated because the difference between the molar Cp and Cv is R; Cp – Cv = R.

## Which is greater CP or CV?

The heat capacity at constant pressure CP is greater than the heat capacity at constant volume CV , because when heat is added at constant pressure, the substance expands and work. QV = CV △T = △U + W = △U because no work is done.