First slide

Heat engine

Question

The efficiency of a Carnot engine working between source temperature T and sink temperature 27°C is 25%. The source temperature T is

Easy

A

300 K
B

400 K
C

800 K
D

1200 K

Solution

$\begin{array}{l} η = \frac{T_{1} - T_{2}}{T_{1}} = \frac{1}{4} (25 %) \\ 4 (T_{1} - 300) = T_{1} \\ 3 T_{1} = 1200 T_{1} = 400 K . \end{array}$

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