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Solutions

Question
CBSEENCH12011032

A 1000C the vapour pressure of a solution of 6.5 g of a solute in 100 g water is 732 mm. If Kb = 0.52, the boiling point of this solution will be

  • 1000C

  • 1020C

  • 1030C

  • 1010C

Solution

D.

1010C

According space to space Raoult apostrophe straight s space law space of space paritial space pressure.
fraction numerator straight p subscript straight A superscript 0 minus straight p subscript straight s over denominator straight p subscript straight s end fraction space equals straight n subscript straight B over straight n subscript straight A
rightwards double arrow space fraction numerator 760 minus 732 over denominator 732 end fraction space equals space fraction numerator straight W subscript straight B space straight x space straight M subscript straight A over denominator straight M subscript straight B space xW subscript straight A end fraction

rightwards double arrow space 28 over 732 space equals space fraction numerator 6.5 space straight x space 18 over denominator straight M subscript straight B space straight x space 100 end fraction

rightwards double arrow straight M subscript straight B space equals space 30.6
therefore space increment straight T subscript straight b space equals 0.52 space straight x fraction numerator 6.5 space straight x 1000 over denominator 30.6 space space straight x space 100 end fraction space equals 1.10
therefore space Boiling space point space equals 100 plus 1.10
equals 101.1 degree straight C space almost equal to space 101 degree straight C