Question

Cp and cv are specific heats at constant pressure and constant volume respectively. it is observed that cp−cv=a for hydrogen gas cp−cv=b for nitrogen gas the correct relation between a and b is :

Answer 1

Hydrogen gas is diatomic so Cp/Cv=1.41 and also for N2 Cp/Cv=1.41
Cp-Cv= a for hydrogen now dividing both side by Cv
so, Cp/Cv-1=a/Cv
and Cv=5/2R
similarly for N2
Cp-Cv=b
Cp/Cv-1=b/Cv
and value of Cv will also be same for N2
Cv=5/2R
now put the value and aget relation that a=b