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GATE 2024 AG – Question 30

Farm Power · Farm Power · 1 mark · Numerical answer

An Otto cycle has air-standard efficiency56% and heat input12.5 kJ. Find rejected heat in kJ, to two decimals.

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Correct answer: 5.40 to 5.60

Explanation

Thermal efficiency is $\eta=1-Q_{out}/Q_{in}$. Rearranging gives $Q_{out}=(1-.56)(12.5)=.44(12.5)=\mathbf{5.50}$ kJ. Net work is 7.00 kJ, so input equals work plus rejected heat as required by the cyclic energy balance.

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