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In an Otto cycle, air is compressed from 2.2 l to 0.26 l from an initial pressure of 1.2 kg/cm2. The net output/cycle is 440 kJ. What is the mean effective pressure of the cycle?

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  1. 227 kPa
  2. 207 kPa
  3. 192 kPa
  4. 185 kPa

Answer (Detailed Solution Below)

Option 1 : 227 kPa
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Detailed Solution

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Concept:

Mean Effective Pressure: It is defined as the ratio of the net work done to the displacement volume of the piston.

Calculation:

Stroke volume = Volume before compression - Volume after compression

Vs = 2.2 - 0.26 = 1.94 l = 1.94 × 10-3 m3

Wnet = 440 kJ

Wnet = Pm × Vs

440 × 103 = Pm × 1.94 × 10-3

As answer is not given in options, it is safe to go with magnitude...hence we have to mark 1

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