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An aircraft engine operates on a simple ideal Brayton Cycle with a pressure ratio of 10. Heat is added to the cycle at a rate of 500 kW; air passes through the engine at a rate of 1 kg/s; and the air at the beginning of the compression is at 70 kPa and 0oC. Determine the power produced by this engine and its thermal efficiency. Use constant specific heats at room temperature.

Sagot :

chrstn43

Answer: look at the screenshot

View image chrstn43
Lanuel

The power and thermal efficiency of this engine is equal to 241 Kilowatts and 48.2% respectively.

How to calculate the power and thermal efficiency?

First of all, we would determine the thermal efficiency of this engine by applying the following formula:

[tex]\eta= 1-\frac{1}{r_p^{k-1/k}} \\\\\eta= 1-\frac{1}{10^{1.4-1/1.4}} \\\\\eta= 1-\frac{1}{10^{0.4/1.4}}\\\\\eta= 1-\frac{1}{10^{0.4/1.4}}\\\\\eta= 1-\frac{1}{10^{0.2857}}\\\\\eta = 0.482[/tex]

Thermal efficiency = 48.2%.

Now, we can determine net power output as follows:

[tex]W_{out}=nq_{in}\\\\W_{out}= 0.482 \times 500\\\\W_{out}=241\;kW.[/tex]

Power = 241 Kilowatts.

Read more on thermal efficiency here: https://brainly.com/question/13577244

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