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Question -

A steam engine delivers 5.4×108 J of work per minute and services 3.6 × 109 J of heat per minute from its boiler. What is the efficiency of the engine? How much heat is wasted per minute?



Answer -

Given

Work done by the steam engine per minute, W = 5.4 x 108 J

Heat supplied from the boiler, H = 3.6 x 109 J

Efficiency of the engine = Output Energy / Input Energy

Hence,

η = W / H

= 5.4 x 108 /(3.6 x 109)

On simplification, we get,

= 0.15

Therefore, the percentage efficiency of the engine is 15%

Amount of heat wasted = 3.6 x 109 –5.4 x 108

We get,

= 30.6 x 108

= 3.06 x 109 J

Hence, the amount of heat wasted per minute is 3.06 x 109 J

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