Correct Answer - Option 2 : 400 kJ/s are rejected

**Concept****:**

As per Clausius Inequality

If \(\oint \frac{{\partial Q}}{T} = 0\) the cycle is reversible.

If \(\oint \frac{{\partial Q}}{T} < 0\) the cycle is irreversible.

If \(\oint \frac{{\partial Q}}{T} > 0\) the cycle is impossible.

**Calculation****:**

__Given__:

Q_{1} = 800 kJ/sec, T_{1} = 600 K, T_{2} = 300 K.

As per Clausius Inequality

For reversible cycle:

\(\oint \frac{{\partial Q}}{T} = 0\)

\(\frac{Q_1}{T_1}+\frac{Q_2}{T_2}=0\)

\(\frac{800}{600}+\frac{Q_2}{300}=0\)

∴ Q_{2} = -400 kJ/sec rejected (∵ negative implies rejected).