JEE Main & Advanced Physics Kinetic Theory of Gases JEE PYQ-Kinetic Theory Of Gases

\[{{C}_{p}}\] and \[{{C}_{v}}\] are specific heats at constant pressure and constant volume respectively. It is observed that \[{{C}_{p}}-{{C}_{v}}=a\] for hydrogen gas \[{{C}_{p}}-{{C}_{v}}=b\]for nitrogen gas the correct relation between a and b is:               [JEE Main 2017]

A) \[a=14\,b\]

B)      \[a=28\,b\]

C) \[a=\frac{1}{14}b\]

D)      \[a=b\]

Correct Answer: A

Solution :

[a] \[{{C}_{P}}-{{C}_{V}}=R\]

where\[{{C}_{P}}\]and\[{{C}_{V}}\]are molar specific heat capacities As per the question

\[a=\frac{R}{2}\] \[b=\frac{R}{28}\]

\[a=14\,b\]