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A binary liquid system exhibits LLE at 25°C. Determine from each of the following sets of miscibility data estimates for parameters A12 and A21 in the Margules equation at 25°C: (a) x1 α = 0.10, x1 β = 0.90;(b ) x1 α = 0.20, x1 β = 0.90;(c ) x1 α = 0.10, x1 β = 0.80.

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Answer:

(a) - A12 = A21 = 2.747

(b) - A12 = 2.148; A21 = 2.781

(c)- A12 = 2.781; A21 = 2.148

Step-by-step explanation:

(a) - x1(a) = 0.1 | x2(a) = 0.9 | x1(b) = 0.9 | x2(b) = 0.1

LLE equations:

  • x1(a)*γ1(a) = x1(b)γ1(b)

x2(a)*γ2(a) = x2(b)γ2(b)

  • A12 = A21 = 2.747

(b) - x1(a) = 0.2 | x2(a) = 0.8 | x1(b) = 0.9 | x2(b) = 0.1

LLE equations:

  • x1(a)*γ1(a) = x1(b)γ1(b)

x2(a)*γ2(a) = x2(b)γ2(b)

  • A12 = 2.148; A21 = 2.781

(c) - x1(a) = 0.1 | x2(a) = 0.9 | x1(b) = 0.8 | x2(b) = 0.2

LLE equations:

  • x1(a)*γ1(a) = x1(b)γ1(b)

x2(a)*γ2(a) = x2(b)γ2(b)

  • A12 = 2.781; A21 = 2.148
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