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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 is constant, Kf of benzene is 5.12 K kg mol−1,

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Question

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 is constant, Kf of benzene is 5.12 K kg mol−1, and the freezing point of benzene will be lowered by ______.

Options

  • 0.3 K

  • 0.5 K

  • 0.4 K

  • 0.2 K

MCQ
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Solution

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 is constant, Kf of benzene is 5.12 K kg mol−1, and the freezing point of benzene will be lowered by 0.4 K.

Explanation:

ΔT = Kfm = `("K"_"f" xx "W"_2 xx 1000)/("M"_2"W"_1)`

= `5.12 xx 1/250 xx 1000/51.2`

= 0.4 K

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