Solution Found!
Assume a cyclic machine that exchanges 6 kW with a 250°C
Chapter 5, Problem 40HP(choose chapter or problem)
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.
- , .
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)
- , .
Here, the engine cannot be an irreversible one as the efficiency will be zero.