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A Carnot engine, working between 300 K to 600 K has a work output of 800 J-cycle⁻1. What is the amount of heat energy supplied to the engine from the source per cycle?

  • a)
    6 KJ

  • b)
    4 KJ

  • c)
    1.6KJ

  • d)
    1 KJ

Correct answer is option 'C'. Can you explain this answer?
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A Carnot engine, working between 300 K to 600 K has a work output of 8...
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A Carnot engine, working between 300 K to 600 K has a work output of 8...
Given:
Temperature of source, T1 = 500 K
Temperature of sink, T2 = 300 K
Work output, W = 800 J/cycle

To find: Heat energy supplied to the engine from the source per cycle

Formula used: Efficiency of Carnot engine = (T1-T2)/T1

Efficiency of Carnot engine can also be expressed as:

Efficiency = Work output / Heat input

Heat input = Work output / Efficiency

Calculation:
Efficiency of Carnot engine = (T1-T2)/T1 = (500-300)/500 = 0.4 or 40%

Heat input = Work output / Efficiency = 800 / 0.4 = 2000 J/cycle

Therefore, the amount of heat energy supplied to the engine from the source per cycle is 2 KJ (2000 J/cycle).

Answer: c) 2 KJ
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Community Answer
A Carnot engine, working between 300 K to 600 K has a work output of 8...
Given:
Temperature of source, T1 = 500 K
Temperature of sink, T2 = 300 K
Work output, W = 800 J

We need to find the amount of heat energy supplied to the engine from the source per cycle.

Formula used:
Efficiency of Carnot engine, η = 1 - (T2/T1)
Efficiency of Carnot engine, η = W/Q1
Where Q1 is the amount of heat energy supplied to the engine from the source.

Calculation:
Efficiency of Carnot engine, η = 1 - (T2/T1)
η = 1 - (300/500)
η = 1 - 0.6
η = 0.4

Efficiency of Carnot engine, η = W/Q1
0.4 = 800/Q1
Q1 = 800/0.4
Q1 = 2000 J

Therefore, the amount of heat energy supplied to the engine from the source per cycle is 2 KJ (2000 J).

Hence, the correct answer is option (c) 2 KJ.
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A Carnot engine, working between 300 K to 600 K has a work output of 800 J-cycle1. What is the amount of heat energy supplied to the engine from the source per cycle?a)6 KJb)4 KJc)1.6KJd)1 KJCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A Carnot engine, working between 300 K to 600 K has a work output of 800 J-cycle1. What is the amount of heat energy supplied to the engine from the source per cycle?a)6 KJb)4 KJc)1.6KJd)1 KJCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Carnot engine, working between 300 K to 600 K has a work output of 800 J-cycle1. What is the amount of heat energy supplied to the engine from the source per cycle?a)6 KJb)4 KJc)1.6KJd)1 KJCorrect answer is option 'C'. Can you explain this answer?.
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