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The mass of a non-volatile, non-electrolyte solute (molar mass = 50 g mol - 1 ) needed to be dissolved in 114 g octane to reduce its vapour pressure by 75 %, is:

Options

  1. A37.5 g
  2. B75 g
  3. C150   g
  4. D50   g

Correct answer

C. 150   g

Step-by-step solution

Molar mass of octane = 114 g/mol. From the lowering of vapour pressure, we have, ∆ P P = W 2 M 2 W 2 M 2 + W 1 M 1 Where W 2   a n d   M 2 are mass and molar mass of solute and W 1   a n d   M 1 are mass and molar mass of octane. 75 100 = W 2 50   g / m o l W 2 50   g / m o l + 114   g 114   g / m o l   0.75 = W 2 50 W 2 50 + 1 W 2 50 + 1 = W 2 50 × 0.75 W 2 = 150 g

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