1. Tardigrade
  2. Question
  3. Physics
  4. An ideal gas heat engine operates in a Carnot cycle between 227° C and 127° C. It absorbs 6 kcal at the higher temperature. The amount of heat (in kcal) converted into work is equal to

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. An ideal gas heat engine operates in a Carnot cycle between $227^{\circ} C $ and $127^{\circ} C. $ It absorbs $6\, kcal$ at the higher temperature. The amount of heat (in kcal) converted into work is equal to

AIPMTAIPMT 2003Thermodynamics

Solution:

Efficiency of Carnot engine
$= \frac {W}{Q_1}=1- \frac {T_2}{T_1}$
$\frac {W}{6}=1- \frac {400}{500}= \frac {1}{5}$
$\Rightarrow W=\frac {6}{5}=1.2 \, k cal.$