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AIIMS 2001
Exam
AIIMS
Year
2001
Subject
Chemistry
Chapter
Solutions

AIIMS 2001 · Chemistry · Solutions

Vapour pressure of benzene at 30^ C is 121.8 ~mm . When 15 ~g of a...

Vapour pressure of benzene at 30∘C30^{\circ} \mathrm{C} is 121.8 mm121.8 \mathrm{~mm}. When 15 g15 \mathrm{~g} of a non-volatile solute is dissolved in 250 g250 \mathrm{~g} of benzene, its vapour pressure is decreased to 120.2 mm120.2 \mathrm{~mm}. The molecular weight of the solute is

Options

  1. A35.67 g35.67 \mathrm{~g}
  2. B356.7 g356.7 \mathrm{~g}
  3. C432.8 g432.8 \mathrm{~g}
  4. D502.7 g502.7 \mathrm{~g}

Correct answer

B. 356.7 g356.7 \mathrm{~g}

Step-by-step solution

Relative lowering of vapour pressure is given by : P0−PP0=w/mw/m+W/M\frac{P^0-P}{P^0}=\frac{w / m}{w / m+W / M}Where, P0=P^0= Vapour pressure of pure solvent P=P= Vapour pressure of solution ww mass of solute m=m= molecular mass of solute WW = mass of solvent M=M= molecular mass of solvent. For dilute solution \Rightarrow \quad 121.8−120.2121.8=15/m250/78⇒\frac{121.8-120.2}{121.8}=\frac{15 / m}{250 / 78} \Rightarrowm=356.265
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