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BITSAT 2020
Exam
BITSAT
Year
2020
Subject
Chemistry
Chapter
Solutions

BITSAT 2020 · Chemistry · Solutions

The vapour pressure of two pure liquids A and B that form an ideal...

The vapour pressure of two pure liquids AA and BB that form an ideal solution, are 400 and 800mm800 \mathrm{ mm} of Hg respectivelyat a temperature t∘Ct^{{}^{\circ}} \mathrm{C}. The mole fraction of AA in a solution of AA and BB whose boiling point is t∘Ct^{{}^{\circ}} \mathrm{C} will be

Options

  1. A0.4
  2. B0.8
  3. C0.1
  4. D0.2

Correct answer

C. 0.1

Step-by-step solution

V.P. of solution at t∘C=760mmt^{{}^{\circ}} \mathrm{C}=760 \mathrm{ mm} [at b.p., V.P. of solution =atompheric pressure] Thus =\mathrm{P}_{\mathrm{A}^{{}^{\circ}} \mathrm{x}_{\mathrm{A}}+\mathrm{P}_{\mathrm{B}^{\infty} \mathrm{x}_{\mathrm{B}} or \mathrm{P}=\mathrm{P}_{\mathrm{A}^{0} \cdot \mathrm{x}_{\mathrm{A}}+\mathrm{P}_{\mathrm{B}^{0}\left(1- \mathrm{x}_{\mathrm{A}}\right)\left[\because \mathrm{x}_{\mathrm{A}}+\mathrm{x}_{\mathrm{B}}=1\right]oror760=400 \mathrm{X}_{\m mathrm{A}}+800\lleft(1−+800\lleft(1-\mathrm{X}_{\mathrm{A}})[\because\mathrm{P}=760 \mathrm{mmofHg}]] or −800+760=−400xA-800+760=-400 x_{\mathrm{A}} or −40=−400-40=-400\mathrm{x}_{\mathrm{A}} or x_{\ mmathrm{A}}=\frac{40}{400}=0.10.1 Thus mole fraction in solution is 0.1
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