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A solution containing 1.8 g of a compound (empirical formula CH2O) in 40 g of water is observed to freeze at -0.465°C.

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A solution containing 1.8 g of a compound (empirical formula CH2O) in 40 g of water is observed to freeze at -0.465°C. The molecular formula of the compound is (Kf of water = 1.86 kg K mol-1)

(a) C2H4O2

(b) C3H6O3

(c) C4H8O4

(d) C6H12O6

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(d) C6H12O6

Explanation:

ΔT= Kf x m

M = 1000 x Kf x w2 (solute)/ΔTf x w1 (solvent)

= (1000 x 1.86 x 1.8)/(0.465 x 40)

=> M = 180

Molecular formula = (empirical formula)n

n = Molecular mass/Empirical formula mass

= 180/30 = 6

Molecular formula = (CH2O)6 = C6H12O6

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