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Use R=8.3 J/mol-K wherever required. Oxygen is filled in a closed jar of

Question:

Use $\mathrm{R}=8.3 \mathrm{~J} / \mathrm{mol}-\mathrm{K}$ wherever required.

Oxygen is filled in a closed jar of volume $1.0 \times 10^{-3} \mathrm{~m}^{3}$ at a pressure of $1.5 \times 10^{5} \mathrm{~Pa}$ and temperature $400 \mathrm{~K}$. The jar has a small leak in it. The atmospheric pressure is $1.0 \times 10^{5} \mathrm{~Pa}$ and the atmospheric temperature is $300 \mathrm{~K}$. Find the mass of the gas that leaks out by the time the pressure and the temperature inside the jar equalize with the surrounding.

Solution:

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