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If x 1 and x 2 represent the mole fractions of a component A in the vapour phase and liquid mixture respectively and p A o and p B o represent vapour pressure of pure A and B, then total vapour pressure of liquid mixture is

Options

  1. Ap A o x 1 x 2
  2. Bp A o x 2 x 1
  3. Cp B o x 1 x 2
  4. Dp B o x 2 x 1

Correct answer

B. p A o x 2 x 1

Step-by-step solution

According to Dalton's law of partial pressures of gases, p A p T o t a l = x 1 p A = x 1 p t o t a l ...(i) and according to Raoult's law p A = p A o x 2 ...(ii) Now by equating (i) and (ii), we get p T o t a l x 1 = p A o x 2 p T o t a l = p A o x 2 x 1

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