A cylinder fitted with a movable piston contains water at 3 MPa with 50% quality, at which point the volume is 20 L. The water now expands to 1.2 MPa as a result of receiving 600 kJ of heat from a large source at 300◦C. It is claimed that the water does 124 kJ of work during this process. Is this possible?

The process is possible:

Explanation:

We are going to find out if the entropy generated is greater than 0, if it is greater than 0, then the process is feasible. If it is not, the process is not feasible.

Received heat energy,

Work done,

At state 1, using the steam table:

Solving for u₂

Since P₂ = 1.2 MPa, u₂ = 2612.2 kJ/kg,

then from steam table, T₂ = 200°C, S₂ = 6.5898 kJ/kg-K

The entropy generated will be:

Since ΔS > 0, this process is possible

Yes it is possible

Explanation:

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