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Mechanical Properties Of Fluids

Question
CBSEENPH11020175

A steam engine delivers 5.4×10J of work per minute and services 3.6 × 10J of heat per minute from its boiler. What is the efficiency of the engine? How much heat is wasted per minute?

Solution
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 = fraction numerator Output space Energy over denominator Input space Energy end fraction
∴ η = straight W over straight H  =  fraction numerator 5.4 space cross times space 10 to the power of 8 over denominator left parenthesis 3.6 space cross times space 10 to the power of 9 right parenthesis end fraction space equals space 0.15 
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.