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Question

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 $p_{1} = 1\text{ }atm$ and $p_{2} = 2\text{ }atm$, respectively. When the partition is removed, the mixture attains an equilibrium pressure of

Options

A.1.3 atm
B.1.6 atm
C.1.4 atm
D.1.8 atm

Solution

$P_{1}V_{1} + P_{2}V_{2} = P\left( V_{1} + V_{2} \right)$

$$\begin{matrix} & 1(2) + 2(3) = P(2 + 3) \\ & \frac{8}{5} = P \end{matrix}$$

$$\Rightarrow 1.6\text{ }atm$$

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