The plot of osmotic pressure $(\Pi)$ vs concentration ( $\mathrm{mol} \mathrm{L}^{-1}$ ) for a solution…

The plot of osmotic pressure $(\Pi)$ vs concentration ( $\mathrm{mol} \mathrm{L}^{-1}$ ) for a solution gives a straight line with slope 25.73 $\mathrm{L}^{\text {bar mol-1}}$. The temperature at which the osmotic pressure measurement is done is
  1. $310^{\circ} \mathrm{C}$
  2. $25.73^{\circ} \mathrm{C}$
  3. $12.05^{\circ} \mathrm{C}$
  4. $37^{\circ} \mathrm{C}$

Solution

$\Pi=\text { CRT }$ Slope $=$ RT $\begin{aligned} & 25.73=0.083 \times \mathrm{T} \\ & \mathrm{T}=\frac{25.73}{0.083}=309.47 \approx 310 \mathrm{~K} \end{aligned}$ $\therefore$ Temperature in ${ }^{\circ} \mathrm{C}=310-273$ $=37^{\circ} \mathrm{C}$

Asked in: NEET 2024

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