### Otto Cycle AnalysisAn 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 the 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} $.---**Task:**Determine the pressure and temperature at the end of the heat-addition process. (You must provide an answer before moving on to the next part.)- **The pressure at the end of the heat-addition process is:** \[ \_\_\_\_ \] kPa.- **The temperature at the end of the heat-addition process is:** \[ \_\_\_\_ \] K.

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Answered: An ideal Otto cycle has a compression…

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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Question

### 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 the 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} $.

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**Task:**

Determine the pressure and temperature at the end of the heat-addition process. (You must provide an answer before moving on to the next part.)

- **The pressure at the end of the heat-addition process is:** \[ \_\_\_\_ \] kPa.
- **The temperature at the end of the heat-addition process is:** \[ \_\_\_\_ \] K.

Expert Solution

Step 1: Determine the given data

$bold Given bold colon Compression space ratio space of space Otto space cycle comma space straight r equals 8 Condition space at space the space beginning space of space the space compression comma space straight P subscript 1 equals 95 space kPa comma space straight T subscript 1 equals 27 to the power of straight o straight C Heat space transferred space to space air space during space the space constant space volume space heat space addition space process comma space straight Q subscript in equals 800 space kJ divided by kg Air space properties space at space room space temperature colon space straight C subscript straight p equals 1.005 space kJ divided by kg. straight K straight C subscript straight v equals 0.718 space kJ divided by kg. straight K straight R equals 0.287 space kJ divided by kg. straight K straight k equals 1.4 bold Find bold colon The space pressure space and space temperature space at space the space end space of space the space heat space addition space process. space straight P subscript 3 space and space straight T subscript 3$