JEE PYQ: Thermal Properties Of Matter Question 15
Question 15 - 2019 (09 Jan 2019 Shift 2)
Two Carnot engines A and B are operated in series. The first one, A receives heat at $T_1$ (= 600 K) and rejects to a reservoir at temperature $T_2$. The second engine B receives heat rejected by the first engine and in turn, rejects to a heat reservoir at $T_3$ (= 400 K). Calculate the temperature $T_2$ if the work outputs of the two engines are equal:
(1) 600 K
(2) 400 K
(3) 300 K
(4) 500 K
Show Answer
Answer: (4)
Solution
When $W_A = W_B$: $T_2 = \frac{T_1 + T_3}{2} = \frac{600 + 400}{2} = 500$ K