Heat Engines, Refrigerators & Second Law question from NEET 2000 (AIPMT)

Answer: (b)

1. $\frac{W}{Q} = \eta = 1 - \frac{T_2}{T_1}$: $T_2 = \frac{5}{6}T_1$ and $T_2 - 62 = \frac{2}{3}T_1$.
2. Subtract: $\frac{T_1}{6} = 62 \Rightarrow T_1 = 372\text{ K} = 99^\circ\text{C}$.
3. $T_2 = 310\text{ K} = 37^\circ\text{C}$
4. So the answer is (b) $37^\circ\text{C},\ 99^\circ\text{C}$.