# Two Carnot engines $\mathrm{A}$ and $\mathrm{B}$ are operated in series. The first one, A receives heat at $\mathrm{T}_{1}(=600 \mathrm{~K})$ and rejects to a reservoir at temperature $\mathrm{T}_{2}$. The second engine $\mathrm{B}$ receives heat rejected by the first engine and in turn, rejects to a heat reservoir at $\mathrm{T}_{3}(=400 \mathrm{~K})$. Calculate the temperature $\mathrm{T}_{2}$ if the work outputs of the two engines are equal:

Question:

Two Carnot engines $\mathrm{A}$ and $\mathrm{B}$ are operated in series. The first one, A receives heat at $\mathrm{T}_{1}(=600 \mathrm{~K})$ and rejects to a reservoir at temperature $\mathrm{T}_{2}$. The second engine $\mathrm{B}$ receives heat rejected by the first engine and in turn, rejects to a heat reservoir at $\mathrm{T}_{3}(=400 \mathrm{~K})$. Calculate the temperature $\mathrm{T}_{2}$ if the work outputs of the two engines are equal:

1. $600 \mathrm{~K}$

2. $400 \mathrm{~K}$

3. $300 \mathrm{~K}$

4. $500 \mathrm{~K}$

JEE Main Previous Year Single Correct Question of JEE Main from Physics Termodynamics chapter.

JEE Main Previous Year 9 Jan. 2019 II

Correct Option: 4

Solution:

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