Solutions Question 6

Question 6 - 2024 (29 Jan Shift 1)

The osmotic pressure of a dilute solution is $7 \times 10^{5} \mathrm{~Pa}$ at $273 \mathrm{~K}$. Osmotic pressure of the same solution at $283 \mathrm{~K}$ is ________ $\times 10^{4} \mathrm{Nm}^{-2}$.

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Answer (73)

Solution

$\pi=\mathrm{CRT}$

$\Rightarrow \frac{\pi_{1}}{\pi_{2}}=\frac{\mathrm{T}{1}}{\mathrm{~T}{2}}$

$\Rightarrow \pi_{2}=\frac{\pi_{1} \mathrm{~T}{2}}{\mathrm{~T}{1}}=\frac{7 \times 10^{5} \times 283}{273}$

$=72.56 \times 10^{4} \mathrm{Nm}^{-2}$