Thermodynamics & Kinetic Theory Mock Tests

A Carnot engine operates between temperatures TH = 500 K and TC = 250 K. The engine drives a Carnot refrigerator operating between TCL = 250 K and THH = 500 K. If the refrigerator removes 2000 J from its cold reservoir, the heat absorbed by the engine from the hot reservoir per cycle is:

An ideal gas undergoes an isobaric process. If the temperature increases from T to 2T, the ratio of final to initial volume is:

A black body at temperature T emits maximum radiation at wavelength 500 nm. If the temperature is doubled to 2T, the new wavelength of maximum emission is:

An ideal gas undergoes a cyclic process ABCA as follows: AB is isobaric expansion at pressure P from volume V to 2V, BC is isochoric pressure drop from P to P/2, and CA is isothermal compression back to the initial state. The net work done by the gas during the cycle is: (ln 2 ≈ 0.693)

An ideal gas undergoes an isothermal expansion at temperature T from volume V to 2V. The change in entropy is:

An ideal gas undergoes an isothermal expansion at temperature T from volume V to 2V. The change in entropy is:

One mole of an ideal diatomic gas (γ = 7/5) at pressure P and volume V is expanded isothermally to volume 2V, then cooled at constant volume back to pressure P. The magnitude of heat extracted during the constant-volume process is:

An ideal gas expands isothermally from volume V to 3V and then adiabatically expands from 3V to 27V. If the initial pressure is P₀ and γ = 3/2, the final pressure is: