#### A fluid at a pressure of 3 bar, and with specific volume of 0.18 m^{3}/kg, contained in a cylinder behind the piston expands reversibly to a pressure of 0.06 bar according to a law, p = C/v^{2}, where C is a constant. Calculate the work done by the fluid on the piston.

A fluid at a pressure of 3 bar, and with specific volume of 0.18 m^{3}/kg, contained in a cylinder behind the piston expands reversibly to a pressure of 0.06 bar according to a law, p = C/v^{2}, where C is a constant. Calculate the work done by the fluid on the piston.

1. The properties of a closed system following the relation between pressure and volume as pV = 3 where p is in bar V is in m^{3}. Calculate the work done when the pressure increases from 1.5 bar to 7.5 bar.

2. To a closed system 150 kJ of work is supplied. If the initial volume is 0.6 m^{3} and pressure of the system changes as p = 8 -4V, where p is in bar and V is in m^{3}, determine the final volume and pressure of the system.

3. A fluid at a pressure of 3 bar, and with specific volume of 0.18 m^{3}/kg, contained in a cylinder behind the piston expands reversibly to a pressure of 0.06 bar according to a law, p = C/v^{2}, where C is a constant. Calculate the work done by the fluid on the piston.

4. A cylinder contains 1 kg of a certain fluid at an initial pressure of 20 bar. The fluid is allowed to expand reversibly behind a piston according to a law pV^{2} = constant until the volume is doubled. The fluid is then cooled reversibly at constant pressure until the piston regains its original position ; heat is then supplied reversibly with the piston firmly locked-in position until the pressure rises to the original value of 20 bar. Calculate the net work done by the fluid, for an initial volume of 0.05 m^{3}.

5. Calculate the dryness fraction (quality) of steam which has 1.5 kg of water in suspension with 50 kg of steam.

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