Question

A steam engine delivers
$5.4 \times {10}^{8} j$
of work per mintueand services 3.6×10^9 J. of heat per minute from its boiler what is the efficiency of the engine how much heat is wasted per minute ?​

Answer 1

Answer:

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

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

Efficiency of the engine =  Output energy / Input energy

∴ n  =  W /  H

= 5.4 × 108  /  3.6 × 109

Hence, the percentage efficiency of the engine is 15 %.

Amount of heat wasted = 3.6 × 109 - 5.4 × 108

= 30.6 × 108 = 3.06 × 109 J

Therefore, the amount of heat wasted per minute is 3.06 × 109 J.

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Answer 2

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Question:-

A steam engine delivers $5.4 \times {10}^{8} J$ of work per minute and services $3.6 \times{10}^{8} J$ of heatvper minute from its boiler.What is the efficiency of the engine?How much heat is wasted per minute?

Answer:-

Given,

• A steam engine delivers $5.4 \times{10}^{8} J$ of work per minute.

To find,

• Efficiency of the engine
• Heat wasted per minute.

calculations,

Output ,(Useful work done per min) =$5.4 \times {10}^{8} J$

Input (heat absorbed per min) = $3.6 \times {10}^{9} J$

Efficiency = Output /Input

$\frac{5.4 \times {10}^{8} }{3.6 \times {10}^{9} }$

$= 0.15$

$= 0.15 \times 100\%$

Heat energy wasted /min

=Heat absorbed /Minute - useful worksone /min

$= 3.6 \times {10}^{9} - 5.4 \times {10}^{8}$

$= {10}^{9} (3.6 \times 0.54)$

$= 3.06 \times 10 {}^{9} j$

$= 15\%$

So, the efficiency of engine is 15% and the heat is wasted per minute is 3.06×10^9 J

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