Heat engine and Heat pump in combinationby canadiansmith Tags: heat engine, heat pump, thermo dynamics 

#1
Nov2211, 11:59 PM

P: 36

Question is attached
I have spent a great deal of time on this problem and I am hoping someone can help me out. My attempt at problem. first for the heat engine QL/Qw1 = TL/Twaste so efficiency = 1 Tl/Twaste efficiency = 0.93808 and I know that efficiency = Wout/ Qw1 This is as far as i got for the heat engine... For Heat pump i found cop = TH/(THTL) = 4.23 



#2
Nov2311, 12:44 PM

HW Helper
Thanks
PF Gold
P: 4,408

Never mind efficiency. The problem doesn't ask for efficiency. It only wants you to compute dQh/dt.
ANYWAY ... write the equations for the 1st and 2nd laws. That's 4 equations. Then write the relationship between Qw1, Qw2 and 5 MW. 5 equations, 5 unknowns. Away you go. Solve for Qh. (Note  the 1st and 2nd laws are usually written in terms of energy rather than power. Don't let that slow you down. Just pretend it's energy for 1 second, which of course is 1 J/s = 1 W. 



#3
Nov2311, 05:08 PM

P: 36

i only have delta U = QW and Q = integral of TodeltaS 



#4
Nov2311, 07:03 PM

HW Helper
Thanks
PF Gold
P: 4,408

Heat engine and Heat pump in combination1st & 2nd law equations. BTW dQ = TdS is not an expression of the second law. It's just a formula to calculate entropy. What you need is an expression reflective of the fact that entropy is unchanged in a reversible cycle. As for the 1st law, you are right, but what can you say about Qw1, QL, Qw2, QH and W? Remember that U is a state function so over a cycle it doesn't change either, reversible or not. 


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