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A solution containing 30g of a non-volatile solute exactly in 90g water has a vapour pressure of 2.8kPa at 298K. Further 18g of water is then added to solution, the new vapour pressure becomes 2.9kPa at 298K. Calculate: (i) molecular mass of the solute, (ii) vapour pressure of water at 298K. Select the correct answer from above options

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Correct Answer - a.Mw2=22.71gmol-1 b.P∘=3.54kPa n2= 30g Mw2 ,n1= 90g 18gmol-1 =5mol Use the relation, p∘-pS pS = n2 n1 ⇒ p∘-2.8 2.8 = 30/Mw2 5 ⇒5×( p∘-2.8 2.8 )=30/Mw2….(i) After adding 18gH2O(i.e.,1molofH2O), n1=6mol ∴ P∘-2.9 2.9 = 30/Mw2 6 ⇒6×( p∘-pS 2.9 )=30/Mw2.....(ii) Equates Eqs.(i)and (ii) 5( p∘-2.8 2.8 )=6( p∘-2.9 2.9 ) Solve for p∘: p^(@)=2.54kPa Substitute the value of p^(@) either in Eq. (i) or in Eq. (ii). 5xx((3.54-2.8)/(2.8))=(30)/(Mw_(2)) Solve for Mw_(2), :. Mw_(2)=22.71g mol^(-1)

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