MHT CET · Physics · Thermodynamics
When an ideal gas \(\left(\gamma=\frac{5}{3}\right)\) is heated under constant pressure, then what percentage of given heat energy will be utilised in doing external work?
- A \(60 \%\)
- B \(20 \%\)
- C \(30 \%\)
- D \(40 \%\)
Answer & Solution
Correct Answer
(D) \(40 \%\)
Step-by-step Solution
Detailed explanation
Work done to heat supplied ratio: \(\frac{W}{Q} = \frac{\gamma - 1}{\gamma}\) Substitute \(\gamma = \frac{5}{3}\): \(\frac{W}{Q} = \frac{\frac{5}{3} - 1}{\frac{5}{3}} = \frac{\frac{2}{3}}{\frac{5}{3}} = \frac{2}{5}\)
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