When 100 J of heat is supplied to a gas, the increase in the internal energy of the gas is 60 J . Then the…
When 100 J of heat is supplied to a gas, the increase in the internal energy of the gas is 60 J . Then the gas is/can
- be triatomic or diatomic gas
- Triatomic gas
- Monoatomic gas
- Diatomic gas
Solution
For a gas, $Q=100 \mathrm{~J}, \Delta \mathrm{U}=60 \mathrm{~J}$
$\begin{aligned}
& \therefore \frac{\mathrm{Q}}{\Delta \mathrm{U}}=\frac{100}{60}=\frac{5}{3} \\
& \Rightarrow \frac{\mathrm{nc}_{\mathrm{p}} \Delta \mathrm{~T}}{\mathrm{nc}_{\mathrm{v}} \Delta \mathrm{~T}}=\frac{5}{3} \Rightarrow \gamma=\frac{5}{3}=1.66
\end{aligned}$
$\therefore \quad$ The gas is monoatomic.
Asked in: AP EAMCET 2024 (20 May Shift 2)
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