Question Bank • QB_EXP_FP_CYC_002 NAT • 2 Marks

Section 3: Farm Power

Sources of Power

Subtopic: Thermodynamic cycles of IC engines

Question Statement:

An engine operates on the air-standard Diesel cycle shown in the accompanying P-v diagram. The cylinder bore is $100\text{ mm}$, stroke is $120\text{ mm}$, and the clearance volume is $50\text{ cm}^3$. Determine the compression ratio $r$ of the engine (round off to one decimal place).

Answer Key:

19.8

Step-by-Step Solution & Explanation

Swept volume $V_s = \frac{\pi}{4} D^2 L = \frac{\pi}{4} (10)^2 (12) = 942.48\text{ cm}^3$. Clearance volume $V_c = 50\text{ cm}^3$. Total volume $V_1 = V_s + V_c = 942.48 + 50 = 992.48\text{ cm}^3$. Compression ratio $r = \frac{V_1}{V_c} = \frac{992.48}{50} \approx 19.85$.
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