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12.Kinetic Theory of Gases
normal
A vessel of volume $8\, litre$ contains an ideal gas at $300\, K$ and $2\, atm$ pressure. The gas is allowed to leak till pressure become $125\, kpa$ calculate amount of moles which leak out if temperature remain constant ...... $moles$
A
$0.4$
B
$0.24$
C
$0.34$
D
$0$
Solution
Initial $\mathrm{PV}=\mathrm{nRT}$
$\mathrm{n}=\frac{2 \times 10^{5} \times 8 \times 10^{-3}}{8.31 \times 300}=0.64 \mathrm{\,mole}$
at same Temp. $P \propto \mu$
$\frac{P_{2}}{P_{1}}=\frac{\mu_{2}}{\mu_{1}} $
$\Rightarrow \frac{125 \times 10^{3}}{2 \times 10^{5}}=\frac{\mu_{2}}{0.64} $
$\Rightarrow \mu_{2}=0.4$ $mole$
leaked moles $=0.64-0.40=0.24$ $moles$
Standard 11
Physics
