TS EAMCET · Physics · Thermodynamics
A Carnot engine \(C_1\) operates between temperature \(T_1\) and \(T_2\left(T_1>T_2\right)\). A second Carnot engine \(C_2\) uses all the heat rejected by the engine \(C_1\) and operates between temperature \(T_2\) and \(T_3\) (where \(T_2>T_3\) ). The efficiency of this combined \(\left(C_1\right.\) and \(C_2\) together) engine is
- A \(1-\frac{T_3}{T_1}\)
- B \(1-\frac{T_3}{T_2}\)
- C \(1-\frac{\left(T_2+T_3\right)}{T_1}\)
- D \(2 - \left(\frac{T_2}{T_1} + \frac{T_3}{T_2}\right)\)
Answer & Solution
Correct Answer
(D) \(2 - \left(\frac{T_2}{T_1} + \frac{T_3}{T_2}\right)\)
Step-by-step Solution
Detailed explanation
\(\eta_1=1-\frac{T_2}{T_1}\)Efficiency of Carnot's engine \(C_1\) is given as \(\eta_1=1-\frac{T_2}{T_1}\)...(i) where, \(T_2=\) temperature of sink and \(\quad T_1=\) temperature of source. Similarly, efficiency of second Carnot's engine, \(\eta_2=1-\frac{T_3}{T_2}\)..(ii) The…
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