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Question
The freezing point of a solution containing 0·3gms of acetic acid in 30gms of benzene is lowered by 0.45K. Calculate the Van't Hoff factor. (at. wt. of C = 12, H = 1, O = 16, Kf for benzene = 5· 12K kg mole-1).
Solution
If i is the Van't Hoff factor, then depression in freezing point
`Delta T_f = (ixx 1000 xxK_f xx w)/(W xxM )`
Given, `Delta T_f = 0.45K,`
w = 0.3 g
W = 30g
Mol. mass (M) of acetic acid, CH3 COOH = 60
Kf = 5.12
`i = (Delta T_f xxWxxM)/(1000xxK_fxxw) = (0.45 xx 30xx60)/(1000 xx 5.12 xx 0.3)`
i = 0.5273
Van't Hoff factor is 0.5273.
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