THERMODYNAMICS

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Problem 3 (25 pts) Air is used as the working fluid in a Diesel cycle with nonidealities. Some important pieces of information regarding the cycle are: The nonidealities occur during the adiabatic compression and expansion processes. At the beginning of the compression process, the air is at 95 kPa and 22C. The pressure bounds (ie the minimum and maximum pressure) for this non-ideal cycle are the same as they would be under ideal operating conditions. Ideally, the compression ratio for this cycle would be rideat = 10. The specific volume at the end of the isobaric expansion is the same for the real cycle and the idealized cycle. The temperature is measured to be 800 K after the adiabatic compression process. The cutoff ratio for the real cycle is re = 2.5. The adiabatic expansion produces 85% of the work it would produce if it were also reversible. Treat air as having constant specific heats at 300 K during your analysis. a) Sketch an ideal Diesel cycle on P-v and T-s diagrams. You do not need to specify any property values on your diagrams. Using the ideal cycles for reference, sketch the non-ideal Diesel cycle described above on the same axes. Again, you need not specify any property values; just focus on getting the general trends correct. b) Determine the isentropic efficiency of the compression process. c) Determine the thermal efficiency of this cycle. d) Determine the ratio of the thermal efficiency of this cycle compared to its ideal counterpart. That is, determine thermal reat/thermal deal