GATE Mechanical Engineering (ME) 2018 Shift 2 Solved Paper

Question : 64 of 65

Marks: +1, -0

A vehicle powered by a spark ignition engine follows air standard Otto cycle

(γ=1.4)

. The engine generates

70 {kW}

while consuming

10.3 {kg} {/} {hr}

of fuel. The calorific value of fuel is

44,000 {kJ} {/} {kg}

. The compression ratio is (correct to two decimal places).

Solution:

Amount of heat supplied per second

= 10.3×44000/3600

kJ/s

=125.88

kW
Efficiency

=\;{\;\text " Power "\;}/{\;\text " Heat supplied "\;}=1-\;{1}/{r^{γ-1}}

\;{70}/{125.88}=1-\;{1}/{r^{γ-1}}

r=7.61

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