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A very small amount of a non-volatile so...

A very small amount of a non-volatile solute (that does not dissociate) is dissolved in `56.8 cm^(3)` of benzene (density `0.889 g cm^(3))`. At room temperature, vapour pressure of this solution is `98.88 mm Hg` while that of benzene is `100 mm Hg` . Find the molality of this solution. If the freezing temperature of this solution is `0.73` degree lower than that of benzene, what is the value of molal the freezing point depression constant of benzene?

Text Solution

Verified by Experts

We know,
`(P^(@)-P_(S))/(P_(S)) = (w)/(m) xx (M)/(W)`
`:. (100 - 98.88)/(98.88) = (w xx 78 xx 1000)/(m xx W xx 1000)`
or molality `((w xx 1000)/(mxxW)) = (1.12 xx 1000)/(78 xx 98.88) = 0.1452`
Also `Delta T = K'_(f) xx "molality"`
`0.73 = K'_(f) xx 0.1452`
`:. K'_(f) = 5.028 K "molality"^(-1)`
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