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A heat engine is supplied with 800 kJ/s of heat at 600 K, and heat rejection takes place at 300 K. Which of the following results report a reversible cycle?

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  1. 200 kJ/s are rejected
  2. 400 kJ/s are rejected
  3. 100 kJ/s are rejected
  4. 500 kJ/s are rejected

Answer (Detailed Solution Below)

Option 2 : 400 kJ/s are rejected
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Detailed Solution

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Concept:

As per Clausius Inequality

If  the cycle is reversible.

If  the cycle is irreversible.

If  the cycle is impossible.

Calculation:

Given:

Q1 = 800 kJ/sec, T1 = 600 K, T2 = 300 K.

As per Clausius Inequality

For reversible cycle:

∴ Q2 = -400 kJ/sec rejected (∵ negative implies rejected).

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More Clausius Inequality Questions

Q1.The cyclic integral of Q/T for a reversible cycle is equal to zero. This statement is known as _________.
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Q5.A heat engine is supplied with 800 kJ/s of heat at 600 K, and heat rejection takes place at 300 K. Which of the following results report a reversible cycle?
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Q10.Statement: (I): \(\oint \frac{{\delta Q}}{T} = 0,\) the cycle is reversible. Statement (II): \(\oint \frac{{\delta Q}}{T} > 0,\)the cycle is irreversible and possible.

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