Q.

Molecules of benzoic acid (C6H5COOH) dimerise in benzene. 'w' g of the acid dissolved in 30 g of benzene shows a depression in freezing point equal to 2 K. If the percentage association of the acid to form dimer in the solution  is 80, then w is

(Given that Kf=5Kkgmol1, Molar mass of benzoic acid=122g mol-1)

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a

2.4g

b

1.5g

c

1.8g

d

1.0g

answer is B.

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Detailed Solution

2C6H5COOH1-0.8 C6H6(30g) C6H5COOH 0.4; x=80%=0.8ΔfT=ikfm2=0.6×5×w×1000122×30 (i=10.8+0.4=0.6)w=2.44g.

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