Q139 / 160 · AP EAMCET 2024 (20 May Shift 1) · Physics

A Carnot engine has the same efficiency between 800 K and 500 K . and $x\gt600 \mathrm{~K}$ and 600 K . The value of ' $x$ ' is

  • A
    1000 K
  • Correct answer
    B
    960 K
  • C
    846 K
  • D
    754 K

Solution

$\eta_1=1-\frac{T_2}{T_1}=1-\frac{500}{800}=\frac{3}{8} \Rightarrow \eta_2=1-\frac{600}{x}$ $\therefore \quad \eta_1=\eta_2$ $\Rightarrow 1-\frac{600}{x}=\frac{3}{8} \Rightarrow \frac{600}{x}=\frac{5}{8}$ $\therefore x=960 K$

Hence, the correct answer is option: 'B'.

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