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Q.

The plot of osmotic pressure ( $π$ ) vs concentration (mol L^–1) for a solution gives a straight line with slope 25.73 L bar mol^–1. The temperature at which the osmotic pressure measurement is done is: $(Use R = 0.083 Lbar {mol}^{- 1} K^{- 1})$

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a

$37^{\circ} C$

b

${12.05}^{\circ} C$

c

$310^{\circ} C$

d

${25.73}^{\circ} C$

answer is C.

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Detailed Solution

$\begin{aligned} π = C R T + 0 \\ y = m x + C \end{aligned}$
$Slope (m) = RT = 25.73 Lbar {mol}^{- 1}$
$\begin{aligned} T = \frac{25.73 Lbar {mole}^{- 1}}{R} \\ T = \frac{25.73 Lbar {mole}^{- 1}}{0.083 Lbar {mole}^{- 1} K^{- 1}} \\ T = 37^{\circ} C \end{aligned}$

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The plot of osmotic pressure (π) vs concentration (mol L–1) for a solution gives a straight line with slope 25.73 L bar mol–1. The temperature at which the osmotic pressure measurement is done is: (Use R=0.083Lbarmol−1K−1 )