GATE ME 2022 Set 1 — Question 62
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Thermodynamics → IC Engines → Otto, Diesel & Dual Cycles
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Question
An engine running on an air standard Otto cycle has a displacement volume and a clearance volume . The pressure and temperature at the beginning of the compression process are and , respectively. Heat transfer during constant-volume heat addition process is . The specific heat at constant volume is and the ratio of specific heats at constant pressure and constant volume is . Assume the specific heats to remain constant during the cycle. The maximum pressure in the cycle is ______ kPa (round off to the nearest integer).
Correct answer
4780 to 4825
Solution
Given data:
Displacement volume,
Clearance volume,
Initial state: ,
Heat addition,
, Step 1: Calculate the compression ratio ():
Step 2: Calculate pressure and temperature after isentropic compression (state 2):
Step 3: Calculate temperature after constant-volume heat addition (state 3):
Step 4: Calculate maximum pressure ():
For constant volume process 2-3:
Rounding to the nearest integer, the maximum pressure is .
Displacement volume,
Clearance volume,
Initial state: ,
Heat addition,
, Step 1: Calculate the compression ratio ():
Step 2: Calculate pressure and temperature after isentropic compression (state 2):
Step 3: Calculate temperature after constant-volume heat addition (state 3):
Step 4: Calculate maximum pressure ():
For constant volume process 2-3:
Rounding to the nearest integer, the maximum pressure is .
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