An ideal Otto cycle has a compression ratio of 8. At the beginning of the compression process, air is at 100 kPa and 17ºC, and 800 kJ/kg of heat is transferred to the air during the constant-volume heat addition process.

Taking into account the variation of specific heat with temperature, determine:

a) The pressure and temperature at the end of the heat addition process.

b) The net work output.

c) The thermal efficiency.

d) The mean effective pressure for the cycle.

Repeat the problem using the cold air standard assumption.

Question

02-05-2025
Physics

High School

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An ideal Otto cycle has a compression ratio of 8. At the beginning of the compression process, air is at 100 kPa and 17ºC, and 800 kJ/kg of heat is transferred to the air during the constant-volume heat addition process.

Taking into account the variation of specific heat with temperature, determine:

a) The pressure and temperature at the end of the heat addition process.

b) The net work output.

c) The thermal efficiency.

d) The mean effective pressure for the cycle.

Repeat the problem using the cold air standard assumption.

Answer :

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a) At the end of the heat addition process, the pressure is 809.8 kPa and the temperature is 563.5°C. b) The net work output is 333.3 kJ/kg. c) The thermal efficiency is 40%. d) The mean effective pressure for the cycle is 202.7 kPa.

a) Using the air table or calculations with the specific heat ratio, the pressure at the end of the heat addition process can be determined using the compression ratio. The temperature can be found using the specific heat at constant volume.

b) The net work output is the difference between the heat added and the heat rejected, calculated by the equation Qin - Qout.

c) The thermal efficiency is the ratio of net work output to heat added, given by the equation net work output divided by Qin.

d) The mean effective pressure is calculated using the formula MEP = (net work output)/(displacement volume), where the displacement volume is the difference between the initial and final volumes during the compression process.

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