First slide

Heat engine

Question

Carnot’s engine takes in a Thousand Kilo Calories of heat from a reservoir at $827^{0} C$ and exhausts heat to a sink at $27^{0} C .$ How much work does it perform ?

Moderate

A

$2 .28 \times 10^{5} cal$
B

$3 .52 \times 10^{5} cal$
C

$7 .28 \times 10^{5} cal$
D

$5 .28 \times 10^{5} cal$

Solution

$Q_{1} = 10^{6} cal, T_{1} = 1100 k, T_{2} = 300 k, Q_{2} = Q_{1} . \frac{T_{2}}{T_{1}} = 2 .72 \times 10^{5} cal . ∴ W = Q_{1} - Q_{2} = 7 .28 \times 10^{5} cal .$

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