Chemistry, asked by tanvir7511, 11 months ago

If 0.44 gm of substance dissolved in 22.2 gm of benzene
lowers the freezing point of benzene by 0.567ºC, then the
molecular mass of substance is, the molal depression
constant= 5.12ºC mol⁻¹.
(a) 128.4 (b) 156.6 (c) 178.9 (d) 232.4

Answers

Answered by abhi178
3

answer : option (c) 178.9

given, mass of substance = 0.44 gm

mass of benzene = 22.2 gm

molality, m = number of mole of solute/mass of solvent in Kg

= (0.44/M)/(22.2/1000) [ where M is molecular mass of substance ]

= 440/(22.2M) mol/Kg .........(1)

using formula, ∆T_f = k_f × m

⇒0.567°C = 5.12 °C/mol × 440/(22.2M) mol/Kg

⇒0.567 = 5.12 × 440/(22.2M)

⇒M = 5.12 × 440/(22.2 × 0.567)

= 178.9 g/mol

hence, option (c) is correct choice.

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