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:
Q1 = 800 kJ/sec, T1 = 600 K, T2 = 300 K.
As per Clausius Inequality
For reversible cycle:
\(\oint \frac{{\partial Q}}{T} = 0\)
\(\frac{Q_1}{T_1}+\frac{Q_2}{T_2}=0\)
\(\frac{800}{600}+\frac{Q_2}{300}=0\)
∴ Q2 = -400 kJ/sec rejected (∵ negative implies rejected).