MolSynapsequestion bank

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

NEET levelSingle correct optionDifficulty 1 of 3td020

The ratio $γ = C_{P} / C_{V}$ for an ideal monatomic gas is

A $7/5$
B $4/3$
C $3/2$
D $5/3$

Answer: D

For a monatomic gas

C_{V} = \frac{3}{2} R

and

C_{P} = \frac{5}{2} R

, so

γ = 5/3 \approx 1.67

.

Practice Thermodynamics and Thermochemistry More on Heat capacities and their relations

Previous questionNext question

More questions on Heat capacities and their relations

For one mole of an ideal gas, C_P - C_V equals NEET level
At ordinary temperatures, where vibrations are not excited, the molar heat capacity at constant volume of a diatomic ideal gas is NEET level
Heat required to raise the temperature of 2 mol of a monatomic ideal gas by 10 K at constant volume (R = 8.314 J mol^-1K^-1) is NEET level
One mole of a diatomic ideal gas (no vibrational contribution) is heated at constant pressure from 300 K to 420 K. With R = 8.314 J mol^-1K^... JEE Main level
An ideal gas with gamma = C_P/C_V = 1.40 absorbs 1.90 kJ of heat per mole at constant pressure. With R = 8.314 J mol^-1K^-1, the temperature... JEE Main level
A monatomic ideal gas initially at 300 K is compressed reversibly and adiabatically to half its volume. The final temperature is closest to JEE Main level