SolutionMedium
Question
The plot of osmotic pressure ( $\Pi$ ) vs concentration ( $molL^{- 1}$ ) for a solution gives a straight line with slope $25.73\text{ }Lbar{mol}^{- 1}$. The temperature at which the osmotic pressure measurement is done is
(Use $R = 0.083\text{ }L$ bar ${mol}^{- 1}{\text{ }K}^{- 1}$ )
Options
A.${25.73}^{\circ}C$
B.${12.05}^{\circ}C$
C.$37^{\circ}C$
D.$310^{\circ}C$
Solution
Sol. [Key Concept: Temperature from osmotic pressure slope]
$\Pi =$ CRT
$$\begin{matrix} & \text{~Slope~} = RT \\ & 25.73 = 0.083 \times T \\ & \begin{matrix} T = & \frac{25.73}{0.083} = 309.47 \approx 310\text{ }K \\ \therefore\ \text{~Temperature in~}\ ^{\circ}C & \ = 310 - 273 \\ & \ = 37^{\circ}C \end{matrix} \end{matrix}$$
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