Three Carnot engines operate in series between a heat source at a temperature T₁ and a heat sink at temperature T4 (see figure). There are two other reservoirs at temperature T₂ and T3 as shown, with T₁ >T₂ >T3 >T4. The three engines are equally efficient if - VgyanHub

Question:

Three Carnot engines operate in series between a heat source at a temperature T₁ and a heat sink at temperature T₄ (see figure). There are two other reservoirs at temperature T₂ and T₃ as shown, with T₁ >T₂ >T₃ >T₄. The three engines are equally efficient if

Screenshot 2024-12-23 160410

Options :

(a) T2=(T1T4^2)^1/3; T3=(T1^2T4)^1/3)
(b) T2=(T1T4)^1/3; T3=(T1^2T4)^1/3
(c) T2=(T1^3T4)^1/3; T3=(T1T4^3)^1/3
(d) T2=(T1^2T4)^1/3; T3=(T1T4^2)^1/3

Answer :

(d) T₂=(T₁²T₄)^1/3; T₃=(T₁T₄²)^1/3

Answer Steps :

step 1

step 2

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