1. Tardigrade
  2. Question
  3. Chemistry
  4. For an ideal gas, (Cp, m/CV, m)=r. The molecular mass of the gas is M, its specific heat capacity at constant volume is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. For an ideal gas, $ \frac{{{C}_{p}},\,m}{{{C}_{V}},\,m}=r. $ The molecular mass of the gas is M, its specific heat capacity at constant volume is

CMC MedicalCMC Medical 2015

Solution:

As $ \frac{{{C}_{p}},\,m}{{{C}_{V}},\,m}=r $ and $ {{C}_{p,\,m}}-{{C}_{V,\,m}}=R $ $ \therefore $ $ {{C}_{V,m}}=\frac{R}{r-1} $ $ {{C}_{V,\,m}}=\frac{{{C}_{V}}}{n} $ and $ {{C}_{V}}=m\cdot {{C}_{V}} $ $ \therefore $ $ \frac{R}{r-1}=\frac{m\cdot {{C}_{V}}}{m}\times M $ $ \therefore $ $ {{C}_{V}}=\frac{R}{(r-1)\,M} $