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An ideal Otto cycle has a compression ratio of 8. At the beginning of the compression process, air is at 95 kPa and 27°C, and 800 kJ/kg of heat is transferred to air during the constant-volume heat-addition process. Take into account the variation of specific heats with temperature. The gas constant of air is R = 0.287 kJ/kg.K. Determine the thermal efficiency. (You must provide an answer before moving on to the next part.)

An ideal Otto cycle has a compression ratio of 8. At the beginning of the compression process, air is at 95 kPa and 27°C, and 800 kJ/kg of heat is transferred to air during the constant-volume heat-addition process. Take into account the variation of specific heats with temperature. The gas constant of air is R = 0.287 kJ/kg.K. Determine the thermal efficiency. (You must provide an answer before moving on to the next part.)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Otto Cycle Analysis** An ideal Otto cycle has a compression ratio of 8. At the beginning of the compression process, air is at 95 kPa and 27°C, and 800 kJ/kg of heat is transferred to air during the constant-volume heat-addition process. Take into account the variation of specific heats with temperature. The gas constant of air is \( R = 0.287 \, \text{kJ/kg} \cdot \text{K} \). **Problem Statement:** *Determine the thermal efficiency.* (You must provide an answer before moving on to the next part.) **Entered Solution:** The thermal efficiency is \( 451.78 \, \% \). **Note:** The entered value is incorrect as efficiencies greater than 100% are not physically possible. Please review the calculations based on the parameters provided.
Transcribed Image Text:**Otto Cycle Analysis** An ideal Otto cycle has a compression ratio of 8. At the beginning of the compression process, air is at 95 kPa and 27°C, and 800 kJ/kg of heat is transferred to air during the constant-volume heat-addition process. Take into account the variation of specific heats with temperature. The gas constant of air is \( R = 0.287 \, \text{kJ/kg} \cdot \text{K} \). **Problem Statement:** *Determine the thermal efficiency.* (You must provide an answer before moving on to the next part.) **Entered Solution:** The thermal efficiency is \( 451.78 \, \% \). **Note:** The entered value is incorrect as efficiencies greater than 100% are not physically possible. Please review the calculations based on the parameters provided.
Expert Solution
Step 1: Write the given data and what is to find:

Given:

table row r equals 8 row cell T subscript 1 end cell equals cell 27 plus 273 equals 300 space K end cell row cell P subscript 1 end cell equals cell 95 space k P a end cell row cell q subscript i n end subscript end cell equals cell 800 space k J divided by k g end cell row R equals cell 0.287 space k J divided by k g minus K end cell row cell v subscript 3 end cell equals cell v subscript 2 end cell row cell v subscript 4 end cell equals cell v subscript 1 end cell end table


To find:

Thermal efficiency.

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