Question #160193

A steam turbine operates at a boiler temperature of 450K and an exhaust temperature of 300K. What is the maximum theoritical efficiency of this system?
(A) 0.240
(B) 0.500
(C) 0.333
(D) 0.600

Expert's answer

For any cycle operating between two temperatures, none can exceed the efficiency of a Carnot cycle. So the maximal theoretical efficiency will be equal to efficiency of the Carnot cycle with temperatures 450K and 300K.

The efficiency is

ηmax=1TcTh=1300450=0.333.\eta_{\text{max}} = 1 - \dfrac{T_c}{T_h} = 1 - \dfrac{300}{450} = 0.333.

So the answer is C.


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