1.

One hundred gram of a 5 m urea solutionare cooled to- 6^(@)C .Whatamountof urea will seprate out ? (K_(f) = 1.86 K m^(-1)) ?

Answer»

Solution :Molalityof solution at ` - 6^(@)C`
`Delta T_(f) = k_(f) m`
or `"" m = (Delta T_(f))/(K_(f)) = (6)/(1.86) = 3.23 MOL kg ^(-1)`
5 m solution of UREA means that 5 MOLES or `5 xx 60` gof urea are present in 1000 g of solventor `(1000+5xx6)`g of solution ,so that .
`(100+300)` g of solutioncontain urea = 300 g .
100g of solutioncontain urea ` = (300)/(1300) xx 100`
` =23.08 g`
Mass of water in the solution`= 100- 23.08`
` = 76.92 g`
Whenurea separates out , mass of waterdoes notchange.At ` - 6^(@)C`, the molalityis `3.23 mol kg^(-1)` . Letus calculatethe amountof urea to makethe MOLALITY`3.23 mol kg^(-1)` .
1000 g of watercontain urea ` = 60 xx 3.23 g`
`76.92` g of watercontain urea ` = (60 xx 3.23 xx 76.92)/(1000)`
` = 14.91 g`
Mass ofurea SEPARATED ` = 23.08- 14.91`
` = 8.17g`


Discussion

No Comment Found