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In the figure shown, the system is a pure substance kept in a piston-cyllnder arrangement. The system is initially a twophase mixture containing 1 kg of liquid and 0.03 kg of vapour at a pressure of 100 kPa. Initially, the piston rests on a set of stops, a shown in the figure. A pressure of 200 kPa is required to exactly balance the weight of the piston and the outside atmospheric pressure. Heat transfer takes place into the system until its volume increases by 50%. Heat transfer to the system occurs in such a manner that the piston, where it is allowed to move, does so in a very slow (quasi-Static/quasi-equilibrium) process. The thermal reservoir from which heat is transferred to the system has a temperature of 400°C. Average temperature of the system boundary can be taken as 175°C. The heat transfer to the system is 1 kJ, during which its entropy increases by 10 J/K. Specific volumes of liquid (vf) and vapour (vg) phases, as well as values of saturation temperatures, are given in the table below.
Pressure Saturation Vf ( m3/Kg ) Vg( m3/Kg ) 100 100 0.001 0.1 200 200 0.0015 0.002
The work done by the system during the process is
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- 0.1 kJ
- 0.2 kJ
- 0.3 kJ
- 0.4 kJ
- 0.1 kJ
Correct Option: D
w = pdv
w = 200 (v2 – v1)
w = 200 (0.5 × v1)
v1 = 200 × 0.5 × 0.004
[w = 0.4 kJ]