Assume a cyclic machine that exchanges 6 kW with a 250°C

Chapter 5, Problem 40HP

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QUESTION:

Problem 40HP

Assume a cyclic machine that exchanges 6 kW with a 250°C reservoir and has

a. Q L = 0 kW, ˙W = 6 kW

b. ˙Q L = 6 kW, ˙W = 0 kW

and ˙Q L is exchanged with a 30°C ambient. What can you say about the processes in the two cases, a and b, if the machine is a heat engine? Repeat the question for the case of a heat pump.

Questions & Answers

QUESTION:

Problem 40HP

Assume a cyclic machine that exchanges 6 kW with a 250°C reservoir and has

a. Q L = 0 kW, ˙W = 6 kW

b. ˙Q L = 6 kW, ˙W = 0 kW

and ˙Q L is exchanged with a 30°C ambient. What can you say about the processes in the two cases, a and b, if the machine is a heat engine? Repeat the question for the case of a heat pump.

ANSWER:

Solution 40 HP:

Step 1 of 2:-

If the machine is a heat engine, then what are the things we can say about the two processes, we have to state here.

  1. , .

The machine exchanges heat at a rate of 6 kw at with a reservoir.

is exchanged with a ambient.

Here which violates the 2nd law of thermodynamics by providing 100% efficiency.

The Kelvin-Planck statement will be invalid for the case, hence not possible.

b)

  1. , .

Here, the engine cannot be an irreversible one as the efficiency will be zero.

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