First slide
Theory of dilute solutions
Question

A cylinder containing an ideal gas (0.1 mol of 1.0dm3 ) is in thermal equilibrium with a large volume of 0.5 molal aqueous solution of ethylene glycol at its freezing point. If the stoppers S1  and S2 (as shown in the figure) are suddenly withdrawn, the volume of the gas in litres equilibrium is achieved will be________ ( Given, Kfwater=2.0Kkgmol1R=0.08dm3atmK1mol1)

 

Difficult
Solution

For an ideal gas

PV=nRT P=n/V×RT =0.1×0.08λT But ΔTf=kf×m×i ΔTf=2×0.5×1   = 1 273Ts=1 Ts=272 P=0.1×0.08×2722.176 At eqilibrium P1V1=PV2 2.176×1=1×V2 V2=2.176lit

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