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10/01/2022 11:42 am
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A heat engine operates between a cold reservoir at temperature T2 = 400 K and a hot reservoir at temperature T1. It takes 300 J of heat from the hot reservoir and delivers 240 J of heat to the cold reservoir in a cycle. The minimum temperature of the hot reservoir has to be _________K.
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10/01/2022 11:48 am
Qin = 300 J; Qout = 240 J
Work done = Qin - Qout
= 300 - 240 = 60 J
Efficiency = \(\frac{W}{Q_{in}}\) = \(\frac{60}{300}\)
= \(\frac{1}{5}\)
Efficiency = \(1 - \frac{T_2}{T_1}\)
\(\frac{1}{5}\) = 1 - \(\frac{400}{T_1}\)
⇒ \(\frac{400}{T_1}\) = \(\frac{4}{5}\)
T1 = 500 k