Consider the two solutions:
$I : 0.5 M N a C l$ aqueous solution at $25^{0} C;$ Assume NaCl is completely ionized.
$k_{f} f o r H_{2} O = 1.86 K K g m o l^{- 1}$
$I I . 2.0 M C_{6} H_{5} C O O H$ in benzene at $25^{0} C,$ Assume $C_{6} H_{5} C O O H$ dimerizes to the full extent.
$k_{f}$ for Benzene $= 5.12 K K g m o l^{- 1}$
Which of the following statement(S) is (are) correct?

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Both the solutions display equal osmotic pressure

Both have equal vapour pressure

Solution II is hypertonic

Solution II has greater depression in freezing points than solution I

answer is A, D.

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Detailed Solution

$N a C l : 0.5 M (i = 2), C_{e f f} = 0.5 \times 2 = 1 M$

$C_{6} H_{5} C O O H : 2.0 M (i = \frac{1}{2}) ϕ C_{e f f} = 2 \times \frac{1}{2} = 1 M$

$π = c_{e f f} R T \Rightarrow π$ is same as is same.

Since both the solutions have different solvents. Vapour pressure will be different. Solutions are isotonic.
$k_{f}$ for Benzene

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