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Carnot Cycle

An automobile...

Question

An automobile engine absorbs $1600 J$ of heat from a hot reservoir and expel $1000 J$ to a cold reservoir in each cycle. What is the power output of engine if it operates at $200$ cycle per minute?

A

3 H P

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B

4 H P

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C

2.7 H P

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D

3.7 H P

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Solution

The correct option is B $2.7 H P$
Given, $Q_{h} = 1600 J$ and $Q_{c} = 1000 J$
Work done by the engine $W = Q_{h} - Q_{c} = 1600 - 1000 = 600 J$
Output power per cycle $P = W / t = 600 / 60 = 10 J / s$
Power output for 200 cycle $= 10 \times 200 = 2000 J / s = \frac{2000}{746} = 2.7 H P$ as $(1 H P = 746 J / s)$

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