Question
  1. State Raoult’s law for a solution containing volatile components.

 How does Raoult’s law become a special case of Henry’s law?

  1. 1.00 g of a non-electrolyte solute dissolved in 50 g of benzene lowered the freezing point of benzene by 0.40 K. Find the molar mass of the solute. (Kf for benzene= 5.12 kg mol-1).

Answer

  1. Partial vapour pressure of a liquid component is directly proportional to its mole fraction in its solution.

The partial pressure of the volatile component or gas is directly proportional to its mole fraction in solution. Only the proportionality constant KH differs from PoA. Thus, Raoult’s law becomes a special case of Henry’s law in which KH becomes equal to PoA.

  1. Given WB = 1∙00g;
WA = 50g; Kf = 5∙12K kg/ mol- 1;   ΔTf = 0∙40K

 $\Delta\text{T}_{f}=\text{K}_{f}\frac{\text{W}_{B}\times{1000}}{\text{M}_{B}\times\text{W}_{A}\text{(in grams)}}$

$\text{M}_{B}=\text{K}_{f}\frac{\text{W}_{B}\times{1000}}{\Delta\text{T}_{f}\times\text{W}_{A}}$

$\text{M}_{B}=\frac{\text{5.12}\times{1}\times{1000}}{\text{0.40}\times\text{50}}$

= 256g mol-1

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