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Cyclic heat engine operating between Source temperature 600 degree nd sink temperature 20 degree Celsius at least rate of heating rejection work output of engine will be?
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Cyclic heat engine operating between Source temperature 600 degree nd ...
- Source temperature: 600°C
- Sink temperature: 20°C
Calculation of maximum efficiency:
- The maximum efficiency of a Carnot cycle is given by:
\[ \eta = 1 - \frac{T_{sink}}{T_{source}} \]
\[ \eta = 1 - \frac{20+273}{600+273} = 1 - \frac{293}{873} \approx 0.66 \]
Calculation of work output:
- The work output of the engine is given by:
\[ W = Q_{source} - Q_{sink} \]
where,
\[ Q_{source} = Q_{sink} + W \]
\[ Q_{source} = \frac{T_{source}}{T_{source} - T_{sink}} \times Q_{sink} \]
\[ Q_{source} = \frac{600+273}{600+273-20-273} \times Q_{sink} \]
\[ Q_{source} = \frac{873}{300} \times Q_{sink} \]
\[ Q_{source} = 2.91 \times Q_{sink} \]
- Therefore, the work output of the engine will be 1.91 times the rate of heating rejection.
In conclusion, the work output of the cyclic heat engine operating between a source temperature of 600°C and a sink temperature of 20°C will be 1.91 times the rate of heating rejection. The maximum efficiency of the engine is approximately 66%.
- Sink temperature: 20°C
Calculation of maximum efficiency:
- The maximum efficiency of a Carnot cycle is given by:
\[ \eta = 1 - \frac{T_{sink}}{T_{source}} \]
\[ \eta = 1 - \frac{20+273}{600+273} = 1 - \frac{293}{873} \approx 0.66 \]
Calculation of work output:
- The work output of the engine is given by:
\[ W = Q_{source} - Q_{sink} \]
where,
\[ Q_{source} = Q_{sink} + W \]
\[ Q_{source} = \frac{T_{source}}{T_{source} - T_{sink}} \times Q_{sink} \]
\[ Q_{source} = \frac{600+273}{600+273-20-273} \times Q_{sink} \]
\[ Q_{source} = \frac{873}{300} \times Q_{sink} \]
\[ Q_{source} = 2.91 \times Q_{sink} \]
- Therefore, the work output of the engine will be 1.91 times the rate of heating rejection.
In conclusion, the work output of the cyclic heat engine operating between a source temperature of 600°C and a sink temperature of 20°C will be 1.91 times the rate of heating rejection. The maximum efficiency of the engine is approximately 66%.
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Cyclic heat engine operating between Source temperature 600 degree nd sink temperature 20 degree Celsius at least rate of heating rejection work output of engine will be?
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Cyclic heat engine operating between Source temperature 600 degree nd sink temperature 20 degree Celsius at least rate of heating rejection work output of engine will be? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Cyclic heat engine operating between Source temperature 600 degree nd sink temperature 20 degree Celsius at least rate of heating rejection work output of engine will be? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Cyclic heat engine operating between Source temperature 600 degree nd sink temperature 20 degree Celsius at least rate of heating rejection work output of engine will be?.
Cyclic heat engine operating between Source temperature 600 degree nd sink temperature 20 degree Celsius at least rate of heating rejection work output of engine will be? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Cyclic heat engine operating between Source temperature 600 degree nd sink temperature 20 degree Celsius at least rate of heating rejection work output of engine will be? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Cyclic heat engine operating between Source temperature 600 degree nd sink temperature 20 degree Celsius at least rate of heating rejection work output of engine will be?.
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