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Q.

The osmotic pressure of solution containing non-volatile, non-electrolyte solute is 7.6 atm at 27°C then the boiling point of the same solution is (Assume that molality and molarity are same)

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a

50.8°

b

126.25°

c

200.32°

d

100.16°

answer is C.

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Detailed Solution

$\begin{array}{l} π = CRT \Rightarrow C = \frac{π}{RT} = \frac{7 .6}{0 .082 \times 300} = 0 .3089 M \\ {ΔT}_{f} = K_{f} \times m; {ΔT}_{f} = 0 .5746 \\ ∴ t = temp. of sol. = 100 {.5746}^{0} C \\ {ΔT}_{b} = K_{b} \times m = 0 .52 \times 0 .3089 = 0 {.161}^{0} K \\ ∴ t = 100 {.161}^{0} C \end{array}$

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