GATE ME 2019 Set 2 — Question 59
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Thermodynamics → IC Engines → Mean Effective Pressure & Efficiency
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Question
An air standard Otto cycle has thermal efficiency of and the mean effective pressure of the cycle is . For air, assume specific heat ratio and specific gas constant . If the pressure and temperature at the beginning of the compression stroke are and , respectively, the specific net work output of the cycle is ______ (round off to two decimal places).
Correct answer
705 to 715
Solution
1.Calculate the compression ratio ():
The thermal efficiency of an air standard Otto cycle is given by:Given and :
2.Calculate the specific volume at the beginning of compression ():
Using the ideal gas law :3.Calculate the specific volume at the end of compression ():
4.Calculate the specific net work output ():
The mean effective pressure () is defined as:Rounding to two decimal places, the specific net work output is .
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