GATE ME 2015 Set 3 — Question 36
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Thermodynamics → IC Engines → Otto, Diesel & Dual Cycles
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Question
An air-standard Diesel cycle consists of the following processes:
1-2: Air is compressed isentropically.
2-3: Heat is added at constant pressure.
3-4: Air expands isentropically to the original volume.
4-1: Heat is rejected at constant volume.
If and denote the specific heat ratio and temperature, respectively, the efficiency of the cycle is
1-2: Air is compressed isentropically.
2-3: Heat is added at constant pressure.
3-4: Air expands isentropically to the original volume.
4-1: Heat is rejected at constant volume.
If and denote the specific heat ratio and temperature, respectively, the efficiency of the cycle is
Correct answer
(B) 1 - (T₄ - T₁)/(γ(T₃ - T₂))
Solution
The efficiency of a thermodynamic cycle is given by . For an air-standard Diesel cycle:
.
1.Heat addition () occurs at constant pressure (process 2-3): .
2.Heat rejection () occurs at constant volume (process 4-1): .
Substituting these into the efficiency formula:.
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