Allied & ICAR Exam Bank • ALLIED_2983 NAT • 2 Marks

Section 3: Farm Power

Farm Power

Subtopic: I.C. engine cycles

Question Statement:

The thermal efficiency of an air-standard Otto cycle with compression ratio $r = 8$ and ratio of specific heats $\gamma = 1.4$ ($ ^{0.4} = 8^{0.4} \approx 2.30$) in percent (rounded to integer) is:

Answer Key:

56

Step-by-Step Solution & Explanation

$\eta_{otto} = 1 - \frac{1}{r^{\gamma - 1}} = 1 - \frac{1}{8^{0.4}} = 1 - \frac{1}{2.297} = 1 - 0.435 = 0.565 = 56.5\%$. (Rounding to 56-57%).
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