Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Thermodynamics

Question:

A monoatomic gas expands at constant pressure on heating. The percentage of heat supplied that increases the internal energy of the gas and that is involved in the expansion is : 

Options:

75%, 25%

25%, 75%

60%, 40%

40%, 60%

Correct Answer:

60%, 40%

Explanation:

Fraction of energy supplied for increment in internal energy = \(\frac{1}{\gamma}\)

  = \(\frac{3}{5}\) ... [as \(\gamma = \frac{5}{3}\) for monoatomic gas]

Therefore, percentage energy = \(\frac{30}{5}\) = 60%

Fraction of energy supplied for external work done = \(1 - \frac{1}{\gamma} = \frac{\gamma - 1}{\gamma}\)

  = \(\frac{\frac{5}{3} - 1}{\frac{5}{3}} = \frac{2}{5}\)

\(\Rightarrow \text { Percentage energy : } = \frac{2}{5}*100% = 40 %\)