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Check-heat engine satisfies the first law or not

Solve the below problem:

Q: For each of the cases below determine if the heat engine satisfies the first law (energy equation) and if it violates the second law.

a. Q.H = 6 kW, Q.L = 4 kW, W. = 2 kW

b. Q.H = 6 kW, Q.L = 0 kW, W. = 6 kW

c. Q.H = 6 kW, Q.L = 2 kW, W. = 5 kW

d. Q.H = 6 kW, Q.L = 6 kW, W. = 0 kW

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Mechanical Engineering: Check-heat engine satisfies the first law or not

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