#### A vessel having a volume of 0.6 m^{3} contains 3.0 kg of liquid water and water vapour mixture in equilibrium at a pressure of 0.5 MPa. Calculate : (i) Mass and volume of liquid ; (ii) Mass and volume of vapour.

A vessel having a volume of 0.6 m^{3} contains 3.0 kg of liquid water and water vapour mixture in equilibrium at a pressure of 0.5 MPa. Calculate :

(i) Mass and volume of liquid ;

(ii) Mass and volume of vapour.

1. 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}.

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

3. A vessel having a volume of 0.6 m^{3} contains 3.0 kg of liquid water and water vapour mixture in equilibrium at a pressure of 0.5 MPa. Calculate :

(i) Mass and volume of liquid ;

(ii) Mass and volume of vapour.

4. A vessel having a capacity of 0.05 m^{3} contains a mixture of saturated water and saturated steam at a temperature of 245°C. The mass of the liquid present is 10 kg. Find the following :

(i) The pressure, (ii) The mass, (iii) The specific uolun1e, (iv) The specific enthalpy, (v) The specific entropy, and (vi) The specific internal energy.

5. Determine the amount of heat, which should be supplied to 2 kg of water at 25°C to convert it into steam at 5 bar and 0.9 dry.

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