The osmotic pressure of solution at $0^{o} C$ is $4 a t m$ . What will be its osmotic pressure at $546 K$ under similar conditions ?

4 a t m

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2 a t m

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1 a t m

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8 a t m

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Solution

The correct option is C $8 a t m$
$π = M R T$
$π_{1} = M R T_{1}$
$π_{2} = M R T_{2}$

$\frac{π_{1}}{π_{2}} = \frac{T_{1}}{T_{2}}$

$\frac{4}{π_{2}} = \frac{273}{546}$

$π_{2} = \frac{546 \times 4}{273}$

$π_{2} = 8 a t m$

Option D is correct.

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