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JEE Mains · Chemistry · STD 12 -1. Solution and colligative properties

Liquids \(A\) and \(B\) form and ideal solution in the entire composition range. At \(350\, K\), the vapour pressures of pure \(A\) and pure \(B\) are \(7 \times 10^3\, Pa\) and \(12 \times 10^3\, Pa\), respectively. The composition of the vapour in equilibrium with a solution containing \(40\, mole\) percent of \(A\) at this temperature is

  1. A \(x_A = 0.37\) ; \(x_B = 0.63\)
  2. B \(x_A = 0.28\) ; \(x_B = 0.72\)
  3. C \(x_A = 0.40\) ; \(x_B = 0.6\)
  4. D \(x_A = 0.76\) ; \(x_B = 0.24\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(x_A = 0.28\) ; \(x_B = 0.72\)

Step-by-step Solution

Detailed explanation

\({P_A}\, = \,{\chi _A}P_A^o\, = \,{Y_A}{P_T}\) \({P_T}\, = {\chi _A}P_A^o + {\chi _B}P_B^o\, = 0.4\, \times \,7\, \times \,{10^3}\, + \,0.6\, \times \,12\, \times \,{10^3}\, = \,{10^4}\) \(0.4\, \times \,7\, \times \,{10^3}\, = \,{Y_A}\, \times \,{10^4}\) \({Y_A}\, = \,0.28\)…
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