d. none of the above. 83. The cycle expansion work output in kJ/kg is a. 267.2 b. 814.8 c. 1081.1 d. none of the above. 84. The thermal energy output in k.J/kg is a. 450.2 b. 619.1 e. 814.8 d. none of the above. 85. The thermal efficiency of the cycle is a. 33% b. 42% e. 58% d. none of the above. Q +

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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answer 83-85

**Thermodynamic Keys**

Questions 81-85 are based on the stated information below. The air temperature in a piston-cylinder at the beginning of an adiabatic compression process for an ideal air standard cycle with a compression ratio of 18 is 300 K; the pressure is 0.1 MPa. Heat addition occurs next during a constant pressure process that raises the temperature to the top dead center of 1800 K. The next process in the cycle is an adiabatic expansion which is followed by a constant volume cooling process to complete the cycle.

| State | P (MPa) | T (K)  | u (kJ/kg) | h (kJ/kg) |
|-------|---------|--------|-----------|-----------|
| 1     | 0.10    | 300.0  | 214.07    | 300.1     |
| 2     | 5.39    | 898.3  | 672.4     | 930.2     |
| 3     | 5.39    | 1800.0 | 1487.2    | 2003.2    |
| 4     | 0.30    | 887.7  | 664.3     | 919.2     |

**81. The compression work input in kJ/kg is:**
a. 266.3  
b. 458.3  
c. 814.8  
d. none of the above.

**82. The thermal energy input in kJ/kg is:**
a. 630.1  
b. 824.8  
c. 1073.0  
d. none of the above.

**83. The cycle expansion work output in kJ/kg is:**
a. 267.2  
b. 814.8  
c. 1081.1  
d. none of the above.

**84. The thermal energy output in kJ/kg is:**
a. 450.2  
b. 619.1  
c. 814.8  
d. none of the above.

**85. The thermal efficiency of the cycle is:**
a. 32%  
b. 42%  
c. 58%  
d. none of the above.

**Diagram Explanation:**

The image appears to include a thermodynamic cycle diagram, likely a Brayton
Transcribed Image Text:**Thermodynamic Keys** Questions 81-85 are based on the stated information below. The air temperature in a piston-cylinder at the beginning of an adiabatic compression process for an ideal air standard cycle with a compression ratio of 18 is 300 K; the pressure is 0.1 MPa. Heat addition occurs next during a constant pressure process that raises the temperature to the top dead center of 1800 K. The next process in the cycle is an adiabatic expansion which is followed by a constant volume cooling process to complete the cycle. | State | P (MPa) | T (K) | u (kJ/kg) | h (kJ/kg) | |-------|---------|--------|-----------|-----------| | 1 | 0.10 | 300.0 | 214.07 | 300.1 | | 2 | 5.39 | 898.3 | 672.4 | 930.2 | | 3 | 5.39 | 1800.0 | 1487.2 | 2003.2 | | 4 | 0.30 | 887.7 | 664.3 | 919.2 | **81. The compression work input in kJ/kg is:** a. 266.3 b. 458.3 c. 814.8 d. none of the above. **82. The thermal energy input in kJ/kg is:** a. 630.1 b. 824.8 c. 1073.0 d. none of the above. **83. The cycle expansion work output in kJ/kg is:** a. 267.2 b. 814.8 c. 1081.1 d. none of the above. **84. The thermal energy output in kJ/kg is:** a. 450.2 b. 619.1 c. 814.8 d. none of the above. **85. The thermal efficiency of the cycle is:** a. 32% b. 42% c. 58% d. none of the above. **Diagram Explanation:** The image appears to include a thermodynamic cycle diagram, likely a Brayton
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