Question

Differenciate between $Cp$ and $Cv$

Answer 1

Difference between $C_P$ and $C_V$. Specific heats are thermodynamic properties of the substance.

$C_P$ : - The specific heat at constant pressure is termed as '$C_P$' .

The energy released or absorbed by a unit mass of substance with the change in temperature at constant pressure.

Simply, energy transferred between system and surroundings under constant pressure.

$C_P=\frac{dH}{dT}$

where

$C_P=$ specific heat of constant pressure

$dH=$ change in enthalpy

$dT=$ change in temperature

$C_P$ is related to the enthalpy of the system.

$C_V$ The specific heat at constant volume is termed as '$C_V$'.

The energy released or absorbed by a unit mass of substance with the change in temperature without a change in volume.

Simply, energy transferred between system and surroundings without any change in the volume of the system.

$C_V=\frac{dU}{dT}$

where $C_V=$ Specific heat at constant volume.

$dU=$ Change in internal energy

$dT=$ Change in temperature.

$C_V$ is related to the internal energy of the system.

Relation between $C_P$ and $C_V$ :-

$C_P-C_V=R$

where $C_P=$ Specific heat at constant pressure

$C_V=$ Specific heat at constant volume

$R=$ Rydberg's constant

Ratio between $C_P$ and $C_V$ is the specific heat ratio $\gamma$(Gamma).

$\gamma =\frac{C_P}{C_V}$