At room temperature, a dilute solution of urea is prepared by dissolving 0.60   g of urea in 360  …

At room temperature, a dilute solution of urea is prepared by dissolving 0.60 g of urea in 360 g of water. If the vapour pressure of pure water at this temperature is 35 mm Hg , lowering of vapour pressure will be:
(molar mass of urea =60 g mol-1 )
  1. 0.028 mm Hg
  2. 0.027 mm Hg
  3. 0.031 mm Hg
  4. 0.017 mm Hg

Solution

Relative lowering in vapour Pressure
Mole of urea nB=0.660=10-2mole ;

Mole of water nA=36018=20

Po-PsPo=xB=Po-PsPo=nBnn+nB

Here =Po=V.P. of pure solvent

Ps=V.P of solution.

nA+nBnA

Po-PsPo=nBnA
lowering of vapour pressure(Po-Ps)=nBnA×Po

Po-Ps=10-220×35

Po-Ps=0.0175  mm of Hg

Asked in: JEE Main 2019 (10 Apr Shift 1)

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