Question

(25%) The binary mixture of methanol (1) + acetone (2) forms an azeotrope at 760 Torr with x=0.2 at 7 55.7 °C. The bubble pressure for the system can be calculated using Van Laar model as.

In y₁ = A₁₂/(1+A₁₂x₁/A₂₁x₂)
In y₂ = A₂₁/(1+A₂₁x₂/A₁₂x₁)
log₁₀P₂ˢ = 8.0897-[1582.271/(T+239.726)]
log₁₀P₁ˢ = 7.1171-[1210.595/(T+229.664)]
where P₁ˢ in torr and T in °C.
Please determine the bubble pressure for a system at x₁ = 0.1 at 7=55.7 °C.

Answer 1

To calculate the bubble pressure for the system at x₁ = 0.1 at 7=55.7 °C, use the Van Laar model equations and the given log₁₀P₂ˢ and log₁₀P₁ˢ equations.

Step-by-step explanation:

To calculate the bubble pressure for the system at x₁ = 0.1 at 7=55.7 °C, we can use the Van Laar model equations:

In y₁ = A₁₂/(1+A₁₂x₁/A₂₁x₂)

In y₂ = A₂₁/(1+A₂₁x₂/A₁₂x₁)

Where x₁ and x₂ are the mole fractions of methanol and acetone, respectively. First, we need to calculate the values of A₁₂ and A₂₁. Once we have these values, we can substitute x₁ = 0.1 and x₂ = 0.9 into the equations to find the values of y₁ and y₂. Finally, we can use the given log₁₀P₂ˢ and log₁₀P₁ˢ equations to calculate the bubble pressure for the system.