JEE Main Solved Paper 2017 Question 12

Question: $ 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 Solved Paper-2017]

Options:

A) $ a=14,b $

B) $ a=28,b $

C) $ a=\frac{1}{14}b $

D) $ a=b $

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ 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 $