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qUESTIONS

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?

A cyclic process ABCA is shown in V-T diagram (Fig (a)). It is performed with a constant mass of ideal gas. How will this transform to a p-V digram?

Cyclic process: The total work done in the cyclic process shown in the Fig. 4.19 is -1000 J. (a) What does the negative sign mean? (b) What is the change in internal energy and the heat transferred during this process. (c) What will happen when the direction of the cycle is changed?

An ideal gas of volume 1.0L is adiabatically compressed to (1/15)th of its initial volume. Its initial pressure and temperature is 1.01 ×105 Pa and 27°C respectively. Given C for ideal gas 20.8J/mol.K and y = 1.4. Calculate (a) final pressure, (b) work done, and (c) final temperature. (d) How would your answers change, if the process were isothermal?

One mole of an ideal gas is initially kept in a cylinder with a movable frictionless and massless piston at pressure of 1.0mPa, and temperature 27°C. It is then expanded till its volume is doubled. How much work is done if the expansion is isobaric?

0.5 mole of gas at temp 300 K expands isothermally from an initial volume of 2.0L to final volume of 6.0L. (a) What is the work done by the gas? (R = 8.31 J mol-¹ K-‘), (b) How much heat is supplied to the gas?

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