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Q.(i) What is the vapour pressure of pure water at 100°C temperature? (1 mark)

(ii) 12 gm of a solid solute is dissolved in 90 gm pure water. Vapour pressure of the resulting solution is 750 mm Hg at 100°C temperature. Calculate the molecular mass of the solute. [Solute does not undergo any dissociation or association in its aqueous solution.] (2 marks)
West Bengal WbchseWest Bengal HS (WBCHSE) Board 2019Subjective· 3mImportance★★★★★
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Using Raoult's law for the relative lowering of vapour pressure gives the solute's molar mass.

(i) At 100∘C100^\circ C, water boils under atmospheric pressure, so its vapour pressure equals 760 mm Hg760\ mm\,Hg (1 atm).

(ii) By Raoult's law, for a dilute non-electrolyte solution:

P∘−PsP∘=n2n1+n2≈n2n1=w2/M2w1/M1\dfrac{P^\circ - P_s}{P^\circ} = \dfrac{n_2}{n_1+n_2} \approx \dfrac{n_2}{n_1} = \dfrac{w_2/M_2}{w_1/M_1}

Given P∘=760 mmP^\circ = 760\ mm, Ps=750 mmP_s = 750\ mm, w1=90 gw_1 = 90\ g (water, M1=18M_1=18), w2=12 gw_2 = 12\ g (solute):

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