A container has two chambers of volumes litres and litres separated by a partition made of a thermal insulator. The chambers contain and moles of ideal gas at pressures atm and atm, respectively. When the partition is removed, the mixture attains an

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Solution

Q.
A container has two chambers of volumes $V_{1} = 2$ litres and $V_{2} = 3$ litres separated by a partition made of a thermal insulator. The chambers contain $n_{1} = 5$ and $n_{2} = 4$ moles of ideal gas at pressures $p_{1} = 1$ atm and $p_{2} = 2$ atm, respectively. When the partition is removed, the mixture attains an equilibrium pressure of [2025]

1 1.4 atm

2 1.8 atm

3 1.3 atm

4 1.6 atm

Ans.
(4)

As, pressure at equilibrium is given by,

$P_{e q} = \frac{P_{1} V_{1} + P_{2} V_{2}}{V_{1} + V_{2}}$ $[\begin{matrix} V_{1} = 2 l \\ n_{1} = 5 moles \\ P_{1} = 1 atm \end{matrix}]$ $[\begin{matrix} V_{2} = 3 l \\ n_{2} = 4 moles \\ P_{2} = 2 atm \end{matrix}]$

$P_{e q} = \frac{1 \times 2 + 2 \times 3}{2 + 3}$

$P_{e q} = \frac{8}{5} = 1.6$ $atm$

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