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
  1. be triatomic or diatomic gas
  2. Triatomic gas
  3. Monoatomic gas
  4. 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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