An ideal gas at pressure P and temperature T | vedclass

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(B) The ideal gas equation is given by $PV = nRT$, where $n$ is the number of moles.Initially, the number of moles $n_1$ in the vessel is $n_1 = \frac

Vedclass · Accepted Answer

$\frac{V}{RT} (P - P')$

Vedclass · Answer

(B) The ideal gas equation is given by $PV = nRT$, where $n$ is the number of moles.Initially, the number of moles $n_1$ in the vessel is $n_1 = \frac{PV}{RT}$.After some gas leaks out, the pressure becomes $P'$ while the volume $V$ and temperature $T$ remain constant.The final number of moles $n_2$ in the vessel is $n_2 = \frac{P'V}{RT}$.The number of moles of gas that have leaked is the difference between the initial and final number of moles:$\Delta n = n_1 - n_2 = \frac{PV}{RT} - \frac{P'V}{RT} = \frac{V}{RT}(P - P')$.Therefore, the correct option is $B$.

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