First slide

Heat engine

Question

A Carnot engine absorbs an amount Q of heat from a reservoir at an absolute temperature T and rejects heat to a sink at a temperature of T/3. The amount of heat rejected is

Easy

A

Q / 4
B

Q / 3
C

Q / 2
D

2Q / 3

Solution

$\begin{array}{l} η = 1 - \frac{T_{2}}{T_{1}}, 1 - \frac{\frac{T}{3}}{T} = \frac{W}{Q_{1}} \\ \Rightarrow \frac{2}{3} = 1 - \frac{Q_{2}}{Q_{1}} \Rightarrow \frac{Q_{2}}{Q_{1}} = \frac{1}{3} \Rightarrow Q_{2} = \frac{Q}{3} \end{array}$

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