Problem on empirical van Laar equation

Question

At atmospheric pressure ethyl acetate and ethyl alcohol form an azeotropic mixture containing 53.9% mole of ethyl acetate and boiling at 71.8°C.

a) Estimate the values of A & B in the empirical van Laar equation

log₁₀ γ₁ = A/[1+ (Ax₁/Bx₂)²]

log₁₀ γ₁ = B/[1+ (Bx₂/Ax₁)²]

b) If A & B are constant, calculate the azeotropic composition and the corresponding total pressure for boiling at 56.3°C.

Data: Vapour pressures of pure components (in mmHg):

                             71.8°C     56.3°C
Ethyl Alcohol           587          298
Ethyl Acetate           636          360