MHT CET · Physics · Thermodynamics
An ideal diatomic gas is heated at constant pressure. What is the fraction of total energy applied, which increases the internal energy for the gas?
- A \(\frac{2}{5}\)
- B \(\frac{5}{7}\)
- C \(\frac{3}{7}\)
- D \(\frac{3}{5}\)
Answer & Solution
Correct Answer
(B) \(\frac{5}{7}\)
Step-by-step Solution
Detailed explanation
The fraction of heat energy used to increase the internal energy of gas is,
\(\frac{\Delta U}{\Delta \mathrm{Q}}=\frac{\mathrm{C}_{\mathrm{v}}}{\mathrm{C}_{\mathrm{P}}}=\frac{1}{\gamma}\)
For diatomic gas, \(\gamma=\frac{7}{5}\)
\(\therefore \quad \frac{\Delta U}{\Delta Q}=\frac{5}{7}\)
\(\frac{\Delta U}{\Delta \mathrm{Q}}=\frac{\mathrm{C}_{\mathrm{v}}}{\mathrm{C}_{\mathrm{P}}}=\frac{1}{\gamma}\)
For diatomic gas, \(\gamma=\frac{7}{5}\)
\(\therefore \quad \frac{\Delta U}{\Delta Q}=\frac{5}{7}\)
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