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A reversible power cycle operates with temperature lim its of 800 K and 300 K. If it takes 560kj of heat, then what would be the unavailable work?
- a)180 kJ
- b)190 kJ
- c)200 kJ
- d)210 kJ
Correct answer is option 'D'. Can you explain this answer?
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A reversible power cycle operates with temperature lim its of 800 K an...
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A reversible power cycle operates with temperature lim its of 800 K an...
Given:
Temperature limits: T1 = 800 K, T2 = 300 K
Heat supplied: Q = 560 kJ
To find: Unavailable work
The efficiency of a reversible power cycle is given by the formula:
η = 1 - (T2 / T1)
To find the unavailable work, we can use the formula:
Unavailable work = Q - W
where W is the work output.
Since the cycle is reversible, the work output is equal to the work input, so W = Q.
Therefore, the unavailable work can be calculated as:
Unavailable work = Q - W = Q - Q = 0
Explanation:
The unavailable work represents the energy that cannot be converted into useful work in a reversible power cycle. In this case, since the temperature limits of the cycle are given, we can calculate the efficiency of the cycle using the formula mentioned above.
η = 1 - (T2 / T1)
= 1 - (300 / 800)
= 1 - 0.375
= 0.625
The efficiency of the cycle is 0.625, which means that 62.5% of the heat input can be converted into useful work. The remaining 37.5% is the unavailable work.
Since the heat supplied is given as 560 kJ, the unavailable work can be calculated as:
Unavailable work = 0.375 * Q
= 0.375 * 560 kJ
= 210 kJ
Therefore, the unavailable work is 210 kJ, which corresponds to option D.
Temperature limits: T1 = 800 K, T2 = 300 K
Heat supplied: Q = 560 kJ
To find: Unavailable work
The efficiency of a reversible power cycle is given by the formula:
η = 1 - (T2 / T1)
To find the unavailable work, we can use the formula:
Unavailable work = Q - W
where W is the work output.
Since the cycle is reversible, the work output is equal to the work input, so W = Q.
Therefore, the unavailable work can be calculated as:
Unavailable work = Q - W = Q - Q = 0
Explanation:
The unavailable work represents the energy that cannot be converted into useful work in a reversible power cycle. In this case, since the temperature limits of the cycle are given, we can calculate the efficiency of the cycle using the formula mentioned above.
η = 1 - (T2 / T1)
= 1 - (300 / 800)
= 1 - 0.375
= 0.625
The efficiency of the cycle is 0.625, which means that 62.5% of the heat input can be converted into useful work. The remaining 37.5% is the unavailable work.
Since the heat supplied is given as 560 kJ, the unavailable work can be calculated as:
Unavailable work = 0.375 * Q
= 0.375 * 560 kJ
= 210 kJ
Therefore, the unavailable work is 210 kJ, which corresponds to option D.
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A reversible power cycle operates with temperature lim its of 800 K and 300 K. If it takes 560kj ofheat, then what would be the unavailable work?a)180 kJb)190 kJc)200 kJd)210 kJCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A reversible power cycle operates with temperature lim its of 800 K and 300 K. If it takes 560kj ofheat, then what would be the unavailable work?a)180 kJb)190 kJc)200 kJd)210 kJCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A reversible power cycle operates with temperature lim its of 800 K and 300 K. If it takes 560kj ofheat, then what would be the unavailable work?a)180 kJb)190 kJc)200 kJd)210 kJCorrect answer is option 'D'. Can you explain this answer?.
A reversible power cycle operates with temperature lim its of 800 K and 300 K. If it takes 560kj ofheat, then what would be the unavailable work?a)180 kJb)190 kJc)200 kJd)210 kJCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A reversible power cycle operates with temperature lim its of 800 K and 300 K. If it takes 560kj ofheat, then what would be the unavailable work?a)180 kJb)190 kJc)200 kJd)210 kJCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A reversible power cycle operates with temperature lim its of 800 K and 300 K. If it takes 560kj ofheat, then what would be the unavailable work?a)180 kJb)190 kJc)200 kJd)210 kJCorrect answer is option 'D'. Can you explain this answer?.
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