Rankers Physics
Topic: Thermal Physics
Subtopic: Kinetic Theory of Gases

If $C_p$ and $C_v$ denote the specific heats (per unit mass) of an ideal gas of molecular weight $M$ then: (2010 Mains)
$C_p - C_v = R/M^2$
$C_p - C_v = R$
$C_p - C_v = MR$
$C_p - C_v = \frac{R}{M}$

Solution:

Mayer's relation for molar heat capacities is $C_P - C_V = R$. Since molar heat capacity is related to specific heat capacity by $C = Mc$, we have $M C_p - M C_v = R$, which gives $C_p - C_v = \frac{R}{M}$.

Leave a Reply

Your email address will not be published. Required fields are marked *