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Ideal Gas Equation

A 5 lit fla...

Question

A $5 l i t$ flask containing $N_{2}$ at $1$ bar and $25^{o} C$ is connected to a $4 l i t$ flask containing $N_{2}$ at $2$ bar and $0^{o} C$ . After the gases are allowed to mix keeping both flasks at their original temperature, what will be the pressure and amount of $N_{2}$ in the $5 l i t$ flask assuming ideal gas behaviour.

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Solution

After mixing, Total volume= $5 L + 4 L = 9 L$
We know that $P V$ =constant
So, for flask $1$ , $1 \times 5 = P_{2} \times 9 \Rightarrow P_{2} = 0.54$ atm
flask $2$ , $P_{2} = 0.84$ atm
Hence, total pressure $P = P_{2} + P_{3} = 1.42$ atm
Amount= $n = \frac{P V}{R T} = \frac{1.42 \times 5}{0.82 \times 298} = 0.29$ moles .

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