KVPY2018PhysicsThermodynamics
One mole of a monoatomic gas and one mole of a diatomic gas are initially in the same state. Both gases are expanded isothermally and then adiabatically, such that they acquire the same final state. Choose the correct statement.
Options
- AWork done by diatomic gas is more than that by monoatomic gas
- BWork done by monoatomic gas is more than that by diatomic gas
- CWork done by both the gases are equal
- DChange in internal energies of both the gases are equal
Correct answer
A. Work done by diatomic gas is more than that by monoatomic gas
Step-by-step solution
Expansion curves are as shown below. As, slope of an adiabatic curve = - γ p V Also, γ diatomic = 7 5 γ monoatomic = 5 3 So, adiabatic expansion will be more steep for monoatomic gas, whereas isotherms for both gases are nearly same. As, work done = area under p - V graph ∴ Work done is more for diatomic gas.