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qUESTIONS

A system is taken to its final state from initial state in hypothetical paths as shown figure calculate the work done in each case.

The figure shows the V – T diagram for one cycle of a hypothetical heat engine which uses the ideal gas. Draw (a) the p – V diagram and p – T diagram of the system.

A hypothetical thermodynamic cycle is shown in the figure. Calculate the work done in 25 cycles.

An ideal monatomic gas is adiabatically compressed so that its final temperature is twice its initial temperature. What is the ratio of the final pressure to its initial pressure?

An ideal gas is taken through an isothermal process. If it does 2000 J of work on its environment, how much heat is added to it?

A Carnot refrigerator operates between 250°K and 300°K. Calculate its coefficient of performance.

6. Efficiency of a Carnot cycle is 75%. If temperature of the hot reservoir is 727°C, calculate the temperature of the cold reservoir.

A system releases 125 kJ of heat while 104 kJ of work is done on the system. Calculate the change in internal energy.

A gas contained in a cylinder fitted with a frictionless piston expands against a constant external pressure of 1 atm from a volume of 5 litres to a volume of 10 litres. In doing so it absorbs 400 J of thermal energy from its surroundings. Determine the change in internal energy of system.

Carnot engine: A Carnot engine receives 2.0 kJ of heat from a reservoir at 500 K, does some work, and rejects some heat to a reservoir at 350 K. (a) How much work does it do? (b) how much heat is rejected. (c) what is its efficiency?

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