MolSynapsequestion bank

MolSynapse / Question bank / Thermodynamics and Thermochemistry / Heat capacities and their relations

JEE Main levelSingle correct optionDifficulty 2 of 3td029

The molar heat capacity at constant pressure of a certain ideal gas is $37.1 J mo l^{- 1} K^{- 1}$ . Using $R = 8.314 J mo l^{- 1} K^{- 1}$ , the ratio $γ = C_{P} / C_{V}$ is closest to

A $1.40$
B $1.67$
C $1.29$
D $1.33$

Answer: C

C_{V} = C_{P} - R = 37.1 - 8.314 = 28.786

, so

γ = 37.1/28.786 = 1.289 \approx 1.29

. This is the range expected for a non-linear polyatomic gas.

Practice Thermodynamics and Thermochemistry More on Heat capacities and their relations

Previous questionNext question

More questions on Heat capacities and their relations