Question Bank • QB_PARAMETRIC_FP_CYC_010MCQ • 1 Mark
Section 3: Farm Power
Thermodynamic Air Cycles: Otto, Diesel & Dual
Subtopic: Air-standard Otto cycle efficiency
Question Statement:
An internal combustion engine operating on the air-standard Otto cycle has a compression ratio of $r = 18$. Taking the adiabatic exponent $\gamma = 1.4$, the air-standard thermal efficiency of the cycle is: (Variation QB_PARAMETRIC_FP_CYC_010)
Options:
(A) $68.53\%$
(B) $63.03\%$
(C) $74.73\%$
(D) $51.40\%$
Answer Key:
A
Step-by-Step Solution & Explanation
The air-standard efficiency of an Otto cycle is given by:
$\eta_{th} = 1 - \frac{1}{r^{\gamma - 1}}$
Given $r = 18$ and $\gamma = 1.4$:
$\eta_{th} = 1 - \frac{1}{18^{0.4}} = 1 - \frac{1}{3.1777} = 1 - 0.3147 = 0.6853$
In percentage: $\eta_{th} = 68.53\%$.