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Solutions

Question
CBSEENCH12011403

1.00 g of a non- electrolyte solute (molar mass 250 g mol-1) was dissolved in 51.2 g of benzene. If the freezing point depression constant, Kf of benzene is 5.12 K Kg mol-1, the freezing point of benzene will be lowered  by:

  • 0.4 K

  • 0.3 K

  • 0.5 K

  • 0.2 K

Solution

A.

0.4 K

Molality of non- electrolyte solute

fraction numerator begin display style fraction numerator weight space of space solute space in space gram over denominator molecular space weight space of space solute end fraction end style over denominator weight space of space solvent space in space kg end fraction

equals space fraction numerator begin display style 1 over 250 end style over denominator 0.0512 end fraction space equals space fraction numerator 1 over denominator 250 space straight x space 0.0512 end fraction space equals space 0.0781 space straight m

increment straight T subscript straight f space equals space straight k subscript straight f space straight x space molality space of space solution
equals space 5.12 space straight x space 0.0781 space equals space 0.4 space straight K