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A steam engine delivers $5.4 \times 10^8 \mathrm{~J}$ of work per minute and services $3.6 \times 10^9 \mathrm{~J}$ of heat per minute from its boiler. What is the efficiency of the engine? How much heat is wasted per minute?
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Useful work doneper min (Out put) $=5.4 \times 10^8 \mathrm{~J}$; Heat absorbed per min $($ Input $)=3.6 \times 10^9 \mathrm{~J}$
Efficiency $=\frac{\text { Output }}{\text { Input }}=\frac{5.4 \times 10^8}{3.6 \times 10^9} \times 0.15=15 \%$
Heat energy wasted $/ \mathrm{min}$. $=$ Heat absorbed $/ \mathrm{min}-$ useful work done/minute $=3.6 \times 10^9-5.4 \times 10^8=3.06 \times 10^9 \mathrm{~J}$
Efficiency $=\frac{\text { Output }}{\text { Input }}=\frac{5.4 \times 10^8}{3.6 \times 10^9} \times 0.15=15 \%$
Heat energy wasted $/ \mathrm{min}$. $=$ Heat absorbed $/ \mathrm{min}-$ useful work done/minute $=3.6 \times 10^9-5.4 \times 10^8=3.06 \times 10^9 \mathrm{~J}$
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