Density of a 2.05 M solution of acetic acid in water is 1.02 g/mL. The molality of the solution is
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a
0.44 mol kg−1
b
1.14 mol k−1
c
3.28 mol kg−1
d
2.28 mol kg−1
answer is D.
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Detailed Solution
2.05M solution of acetic acid means 2.05 moles per lit. of solutionweight of acetic acid = 2.05 x 60 = 123 g(no.of moles ×Molecular Wt.)Weight of solution = 1000 x 1.02 = 1020 g (volume×density)∴ Weight of water = (1020 - 123) = 897 g∴ molality=n×1000Wt. of solvent=2.05 × 1000897 = 2.285m(where , n= no. of moles of solute)