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TS EAMCET · Physics · Thermodynamics

An ideal Carnot engine whose efficiency is \(50 \%\) receives heat at \(500 \mathrm{~K}\). If the efficiency is to be \(60 \%\), then intake temperature for the same exhaust temperature is

  1. A \(600 \mathrm{~K}\)
  2. B \(625 \mathrm{~K}\)
  3. C \(650 \mathrm{~K}\)
  4. D \(700 \mathrm{~K}\)
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Answer & Solution

Correct Answer

(B) \(625 \mathrm{~K}\)

Step-by-step Solution

Detailed explanation

The efficiency of Carnot engine, \[ \begin{aligned} & \eta=1-\frac{T_2}{T_1}, \text { where } T_1=\text { initial intake }=500 \mathrm{~K}, \\ & T_2=\text { exhaust temperature, } \end{aligned} \] Initial efficiency, \(\eta_1=50 \%=\frac{50}{100}\) Final efficiency,…
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