`3.9 g` of benzoic acid dissolved in `49 g` of benzene shows a depression in freezing point of `1.62 K`. Calculate the v

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Q 1105178068.     `3.9 g` of benzoic acid dissolved in `49 g` of benzene shows a depression in freezing point of `1.62 K`. Calculate the van't Hoff factor and predict the nature of solute (associated or dissociated).

(Given : Molar mass of benzoic acid `= 122 g mol^(−1)`, `K_f` for benzene `= 4.9 K kg mol_(−1)`
A

`0.51`, associated solute

B

`0.51`, dissociated solute

C

`5.1`, associated solute

D

`5.1`, dissociated solute

HINT

Use `ΔT_f=(iK_f)(w_s×1000)/(M_s×W)`

Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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