First slide

Heat engine

Question

A Carnot engine takes in 3000 k- cal of heat from a reservoir at 627°C and gives it to a sink at 27°C. The work done by the engine is

Moderate

A

$4 \cdot 2 \times 10^{6} J$
B

$8 \cdot 4 \times 10^{6} J$
C

$16 \cdot 8 \times 10^{6} J$
D

zero

Solution

$η = \frac{T_{1} - T_{2}}{T_{1}} = \frac{900 - 300}{900} = \frac{2}{3} W = ηQ = \frac{2}{3} \times 3000 \times 1000 \times 4 \cdot 2 = 8 \cdot 4 \times 10^{6} J$

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