1.

A certain mass of a substance when dissolved in 100g C_(6)H_(6) lowers the freezing point by 1.28^(@)C. The same mass of solute dissolved in 100g of water lowers the freezing point by 1.40^(@)C. If substance has normal molecular mass in benzene and is completely dissociated in water, into how many ions does it dissociate in water, K_(f) for H_(2)O and C_(6)H_(6) are 1.86 and 5.12 K mol^(-1) kg respectively

Answer»


Solution :`Delta T_(f)=(1000xxK'_(f)xxw)/(m xx W)`
For the solution in BENZENE using the data given
`1.28=(1000xx5.12xx w)/(m_(N)XX100)` (`m_(N)` = normal mol. mass) ……(i)
For the solution in water in which solute dissociates
`1.40=(1000xx1.86xx w)/(m_(esp.)xx100)`.......(ii)
Dividing eq. (ii) by (i).
`i=(m_(N))/(m_(EXP.))=(1.40)/(1.28)xx(5.12)/(1.86)=3.01~~3.0`
Now, suppose that formula for solute is
`{:(A_(x)B_(y),hArr,xA^(+),+,yB^(-)),(1,,0,,0),((1-alpha),,x alpha,,y alpha):}`
`therefore i=1-alpha+x alpha+y alpha`
`because` i=3 and `alpha = 1`(Given that `alpha = 1`)
`therefore` No. of ions given (x+y)=3


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