- #1
Nusc
- 760
- 2
Show that the relationship betwee efficiency (n) of a Carnot engine and the coefficient of performance (w) of the same engine when operated as a refrigerator is given by nw= Tc/Th
Is a Carnot engine whose efficiency is very high particularly suited as a refrigerator? Why?
Well we know that for Carnot engines the efficiency is n = [Th-Tc]/Th
and that the coefficieny of performance for a refrigerator is Qh/w = Qh/(Qh-Qc)
nw = (1 - Tc/Th)(Qh-Qc)
= Qh - TcQh/Th - Qc +TcQc/Th
=/= Tc/Th
What is wrong?
Is a Carnot engine whose efficiency is very high particularly suited as a refrigerator? Why?
Well we know that for Carnot engines the efficiency is n = [Th-Tc]/Th
and that the coefficieny of performance for a refrigerator is Qh/w = Qh/(Qh-Qc)
nw = (1 - Tc/Th)(Qh-Qc)
= Qh - TcQh/Th - Qc +TcQc/Th
=/= Tc/Th
What is wrong?