1.

A solutionof an organiccompound was prepared bydissolving6.8 gin 100 g of water. Calculatethe osmoticpressureof thissolution at 298 Kwhenboilingpointof solutionis 100.11^(@)C . GivenK_(b) for water= 0.52 Km^(-1) and R = 0.082 litre atm k^(-1) mol^(-1)

Answer»

Solution :Molecularmass can be CALCULATED from boilingpointdata as :
`M_(B) = (k_(b) xx w_(B) xx 1000)/(Delta T_(b) xx w_(A))`
`w_(B) = 6.8 G , w_(A) = 100 g, k_(b) = 100.11 - 1000 = 0.11`
`k_(b) = 0.52 K m^(-1)`
`M_(B) = (0.52 xx 6.8 xx 1000)/(0.11 xx 100)`
` = 321.45`
Now `"" pi = (nRT)/( V) , n = (6.8)/(321.45)`
`V = 100 g ~~ 100nl = 0.1 L`
`R = 0.082 L " atm " mol^(-1) K^(-1)`
`R= 0.082 L " atm " mol^(-1) k^(-1)`
`T = 298 K`
` pi = (6.8 xx 0.082 xx 298)/(321.45 xx 0.1)`
`=5.17` atm.


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