Thermodynamics & Kinetic Theory Mock Tests

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:

One mole of an ideal diatomic gas undergoes a cyclic process ABCA: AB is isobaric at pressure P from volume V to 2V, BC is adiabatic to volume 4V, and CA is isochoric back to state A. If γ = 7/5, the net work done by the gas in the cycle is:

A Carnot engine operates between temperatures T_H = 600 K and T_C = 300 K. It absorbs 3000 J of heat from the hot reservoir per cycle. The engine is now reversed and operated as a refrigerator between the same temperatures. If the refrigerator absorbs 1500 J from the cold reservoir, the work input required is:

Two moles of an ideal-gas at 300 K exert a pressure of 10⁵ Pa. What is the volume occupied by the gas? (Take R = 8.314 J/mol·K)

An ideal gas undergoes an adiabatic expansion. If the volume doubles, the ratio of final to initial temperature 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 Carnot engine operates between reservoirs at 500 K and 300 K. It absorbs 2000 J of heat from the hot reservoir per cycle. If the engine cycle time is reduced to half while maintaining the same reservoir temperatures, the power output:

A gas mixture contains 1 mole of a monoatomic gas (C_v = 3R/2) and 1 mole of a diatomic gas (C_v = 5R/2) at temperatures T_1 and T_2 respectively. They are mixed adiabatically in a rigid container. The final equilibrium temperature is: