If $P^{0}$ and $P$ are the vapour pressure of the pure solvent and solution and $n_{1}$ and $n_{2}$ are the moles of solute and solvent respectively in the solution then the correct relation between $P$ and $P^{0}$ is :

P^{0} = P [\frac{n_{1}}{n_{1} + n_{2}}]

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P^{0} = P [\frac{n_{2}}{n_{1} + n_{2}}]

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P = P^{0} [\frac{n_{2}}{n_{1} + n_{2}}]

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P = P^{0} [\frac{n_{1}}{n_{1} + n_{2}}]

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Solution

The correct option is C $P = P^{0} [\frac{n_{2}}{n_{1} + n_{2}}]$
If $P^{0}$ and $P$ are the vapour pressure of the pure solvent and solution and $n_{1}$ and $n_{2}$ are the moles of solute and solvent respectively in the solution then the correct relation between P and $P^{0}$ is $P = P^{0} [\frac{n_{2}}{n_{1} + n_{2}}]$ .
$\frac{P^{0} - P}{P^{0}} = \frac{n_{1}}{n_{1} + n_{2}}$

$1 - \frac{P}{P^{0}} = \frac{n_{1}}{n_{1} + n_{2}}$

$\frac{P}{P^{0}} = 1 - \frac{n_{1}}{n_{1} + n_{2}}$

$\frac{P}{P^{0}} = \frac{n_{2}}{n_{1} + n_{2}}$

$P = P^{0} [\frac{n_{2}}{n_{1} + n_{2}}]$

Hence, option C is correct.

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If P0 and P are the vapour pressure of the pure solvent and solution and n1 and n2 are the moles of solute and solvent respectively in the solution then the correct relation between P and P0 is :

If $P^{0}$ and $P$ are the vapour pressure of the pure solvent and solution and $n_{1}$ and $n_{2}$ are the moles of solute and solvent respectively in the solution then the correct relation between $P$ and $P^{0}$ is :