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A petrol engine consumes 20 kg of petrol...

A petrol engine consumes 20 kg of petrol per hour. The calorific value of the fuel is `1 xx 10^(7)` cal/kg. The power of the engine is 84 kilowatt. Calculate the efficiency of the engine.

A

`36 %`

B

`46 %`

C

`28 %`

D

`58 %`

Text Solution

Verified by Experts

The correct Answer is:
a

Petrol consumed by the engine,
`m_(f) = 20/(60 xx 60) kg//s`
Heat released due to the combustion of fuel,
`Q = m_(f) xx ` calorific value of the fuel ` = 20/(60 xx 60) xx 1 xx 10^(7)`
` = 10^(6)/18 " cal/s" = 10^(6)/18 xx 4.2 " joule /s " = 700/3 ` kW
Power produced by the engine , `W = 84 kW`
` :. ` Effeciency of the engine
` = W/Q xx 100 = 84/(700//3) xx 100 = 36% `
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