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Consider a binary solution of two volatile liquid components 1 and 2 . x₁ and y₁ are the mole fractions of component 1 in liquid and vapour phase, respectively. The slope and intercept of the linear plot of 1 x₁ vs 1 y₁ are given respectively as:

Options

  1. AP ₂^0 P ₁^0 , P ₂^0- P ₁^0 P ₂^0
  2. BP ₁^0 P ₂^0 , P ₂^0- P ₁^0 P ₂^0
  3. CP ₁^0 P ₂^0 , P ₁^0- P ₂^0 P ₂^0
  4. DP ₂^0 P ₁^0 , P ₁^0- P ₂^0 P ₂^0

Correct answer

B. P ₁^0 P ₂^0 , P ₂^0- P ₁^0 P ₂^0

Step-by-step solution

Given mole fraction of liquid 1 in liquid and vapour phase is x₁ and y₁ respectively. aligned & P ₁= P _ T y₁= P ₁^0 x₁ & P _ T x₁ = P ₁^0 y₁ & P ₂^0+x₁ ( P ₁^0+ P ₂^0 ) x₁ = P ₁^0 y₁ & P ₂^0 x₁ + ( P ₁^0+ P ₂^0 )= P ₁^0 y₁ & P ₂^0 x₁ = P ₁^0 y₁ - ( P ₁^0+ P ₂^0 ) & 1 x₁ = 1 y₂ ( P ₁^0 P ₂^0 )- ( P ₁^0+ P ₂^0 ) P ₂^0 aligned aligned & 1 x₁ = 1 y₂ ( P₁^0 P₂^0 )+ (P₂^0-P₁^0 ) P₂^0 & y=m x+c & Slope = P₁^0 P₂^0 ; Intercept = P₂^0-P₁^0 P₂^0 aligned

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