1. Tardigrade
  2. Question
  3. Physics
  4. A reversible heat engine converts one-fourth of the heat input into work. When the temperature of the sink is reduced by 52 K, its efficiency is doubled. The temperature in Kelvin of the source will be

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A reversible heat engine converts one-fourth of the heat input into work. When the temperature of the sink is reduced by $52 K$, its efficiency is doubled. The temperature in Kelvin of the source will be

JEE MainJEE Main 2021Thermodynamics

Solution:

$\eta=\frac{1}{4}=1-\frac{T_{2}}{T_{1}}$
$\frac{T_{2}}{T_{1}}=\frac{3}{4}$
$\frac{T_{2}-52}{T_{1}}=\frac{1}{2}$