When 40 J of heat is absorbed by a monatomic gas, the increase in the internal energy of the gas is
When 40 J of heat is absorbed by a monatomic gas, the increase in the internal energy of the gas is
- 12 J
- 16 J
- 24 J
- 32 J
Solution
For mono atomic gas, $\mathrm{f}=3$
$\therefore V=1+\frac{2}{f}=1+\frac{2}{3}=\frac{5}{3}$
$\begin{aligned} & \text { using, } \mathrm{Q}=\mathrm{W}+\Delta \mathrm{U}=\mathrm{nR} \Delta \mathrm{T}+\mathrm{nc}_{\mathrm{v}} \Delta \mathrm{T}=\mathrm{nc}_{\mathrm{p}} \Delta \mathrm{T} \\ & \therefore \frac{\Delta \mathrm{U}}{\mathrm{Q}}=\frac{\mathrm{nc}_{\mathrm{v}} \Delta \mathrm{T}}{\mathrm{nc}_{\mathrm{p}} \Delta \mathrm{T}}=\frac{1}{V}\end{aligned}$
$\Rightarrow \Delta U=\frac{\theta}{8}=\frac{40}{5 / 3}=24 \mathrm{~J}$
Asked in: AP EAMCET 2024 (18 May Shift 1)
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