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AP EAMCET · PHYSICS · Thermodynamics

A Carnot engine A working between temperatures 600 K and \(\mathrm{T}( < 600 \mathrm{~K})\) and another Carnot engine B working between temperatures T (> 400 K ) and 400 K are connected in series. If the work done by both the engines is same, then \(T=\)

  1. A 550 K
  2. B 500 K
  3. C 575 K
  4. D 525 K
Verified Solution

Answer & Solution

Correct Answer

(B) 500 K

Step-by-step Solution

Detailed explanation

\(W_A = W_B\) \(Q_{H,A} - Q_{C,A} = Q_{H,B} - Q_{C,B}\) Since engines are in series, \(Q_{C,A} = Q_{H,B} = Q_T\). \(Q_{H,A} - Q_T = Q_T - Q_{C,B}\) \(Q_{H,A} + Q_{C,B} = 2Q_T\) Using \(\frac{Q}{T} = \text{constant}\) for Carnot cycle:…
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