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COMEDK · Chemistry · 17. Solutions

Two volatile liquids X and Y form an ideal solution at 298 K and have vapour pressures equal to 100 mm and 200 mm of Hg respectively in their pure state. The mole fraction of X in the solution is 0.4 and the mole fraction of Y in the vapour phase is a/20. Calculate the value of a.

  1. A \(5\)
  2. B \(25\)
  3. C \(10\)
  4. D \(15\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(15\)

Step-by-step Solution

Detailed explanation

Given the pure vapour pressures \(P^{\circ}_{X} = 100\) mm Hg and \(P^{\circ}_{Y} = 200\) mm Hg. The mole fraction of X in the liquid phase is \(x_{X} = 0.4\). Therefore, the mole fraction of Y in the liquid phase is \(x_{Y} = 1 - 0.4 = 0.6\). Using Raoult's Law, the partial…