Question

How are two specific heats of gases are related?

Answer 1

Two specific heats are defined for gases, one for constant volume (CV) and one for constant pressure (CP). The one specific heat is calculated taken in concern it's interaction with its own atoms . The other specific heat is calculated by assuming it to be ideal and having elastic collision with its particles

Answer 2

The two specific heats of gases are related by

 Cp = Cv + R  

From the above expression we can also say that the constant pressure specific heat is related to the constant volume.  

The ratio of their specific heats

ϒ =$\frac{Cp}{Cv}$

ϒ is a factor which we get in adiabatic process and used for determination of the speed of sound in gas. Two specific heats are defined for gases:

Cv : constant volume (CV)  

$C_p$ : constant pressure (CP).