Two carnot engines operate in series between a heat source at a temperature $T_{1} = 900 K$ and heat sink at temperature $T_{3} = 400 K$ . There is another reservoir at temperature $T_{2}$ , as shown, with $T_{1} > T_{2} > T_{3}$ . The two engines are equally efficient if $T_{2} =$ K

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Raj Pandey | Contributor-Level 9

3 weeks ago

$η_{1} = 1 - \frac{T_{2}}{T_{1}}, η_{2} = 1 - \frac{T_{3}}{T_{2}}$

as $η_{1} = η_{2} \Rightarrow \frac{T_{2}}{T_{1}} = \frac{T_{3}}{T_{2}} \Rightarrow T_{2} = {(T_{1} T_{3})}^{\frac{1}{2}} = \sqrt[]{400 \times 900} = 600 K$

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Two carnot engines operate in series between a heat source at a temperature $T_{1} = 900 K$ and heat sink at temperature $T_{3} = 400 K$ . There is another reservoir at temperature $T_{2}$ , as shown, with $T_{1} > T_{2} > T_{3}$ . The two engines are equally efficient if $T_{2} =$ K

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Two carnot engines operate in series between a heat source at a temperature T 1 = 900 K and heat sink at temperature T 3 = 400 K . There is another reservoir at temperature T 2 , as shown, with T 1 > T 2 > T 3 . The two engines are equally efficient if T 2 = K

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Two carnot engines operate in series between a heat source at a temperature $T_{1} = 900 K$ and heat sink at temperature $T_{3} = 400 K$ . There is another reservoir at temperature $T_{2}$ , as shown, with $T_{1} > T_{2} > T_{3}$ . The two engines are equally efficient if $T_{2} =$ K