Thermodynamics & Kinetic Theory Mock Tests

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:

A Carnot engine operates between temperatures T_1 = 600 K and T_2 = 300 K. It absorbs heat from the hot reservoir at a rate of 1200 J per cycle and completes 5 cycles per second. The rate of heat rejected to the cold reservoir 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:

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:

A Carnot engine operates between a hot reservoir at temperature T_H and a cold reservoir at temperature T_C. If the efficiency of the engine is 1/3 and the temperature of the cold reservoir is increased by 100 K while keeping T_H constant, the efficiency becomes 1/6. The temperature T_H 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:

A Carnot engine operates between reservoirs at temperatures T_H and T_C. The engine uses n moles of an ideal monoatomic gas. During the isothermal expansion at T_H, the volume doubles. If the compression ratio during the isothermal compression at T_C is also 2, the efficiency of the engine is: