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AIIMS 2007
Exam
AIIMS
Year
2007
Subject
Chemistry
Chapter
Solutions

AIIMS 2007 · Chemistry · Solutions

The vapour pressure of pure benzene at a certain temperature is...

The vapour pressure of pure benzene at a certain temperature is 0.850 bar. A non-volatile, nonelectrolyte solid weighing (0.5  g\mathrm{~g}) is added to 39.0 (g\mathrm{g}) of benzene (molar mass (78  g\mathrm{~g}/ mol\mathrm{mol}) ). The vapour pressure of the solution then is 0.845 bar. What is the molecular mass of the solid substance?

Options

  1. A58
  2. B180
  3. C170
  4. D145

Correct answer

C. 170

Step-by-step solution

(P_A^{\circ}=0.850) bar, PS=0.845P_S=0.845 bar (w=0.5 \mathrm{ g}, \quad m=\text{ ? }) weight of solvent (benzene) (=39.0 \mathrm{ g}) and molecular weight of benzene (=78 \mathrm{ g}) As we know, (\frac{P_A^{\circ}-P_S}{P_A^{\circ}}=x_B=\frac{n_B}{n_A}) (\frac{0.850-0.845}{0.850}=\frac{\frac{w_B}{M_B}}{\frac{w_A}{M_A}}=\frac{\frac{0.5}{m}}{\frac{39}{78}}) On solving, we get molecular mass of solid structure ((\mathrm{m})=170 \mathrm{ g}).
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