Question

For the system ethyl ethanoate(1)n-heptane(2) at 343.15 K.

• In y₁ = 0.95x_2(^2) In y_2 = 0.95x_1^(2).
• P_1=79.80 kPa P_2 = 40.50 kPa. Assuming the validity of Eq. (10.5), (a) Make a BUBL P calculation for T = 343.15 K. x_1 = 0.05.
(b) Make a DEW P calculation for T = 33.15 K, y_1 = 0.05.
(c) What is the azeotrope composition and pressure at T = 343.15 K?

Answer 1

To calculate the bubble point pressure (P) and dew point pressure (P) in a two-component system, we can use the equations P = x1 * P1 + (1 - x1) * P2 and P = y1 * P1 + (1 - y1) * P2, respectively. To find the azeotrope composition and pressure, we need to solve equations involving the mole fraction and vapor pressure relationships.

Step-by-step explanation:

In order to answer these questions, we will need to use the equations for vapor pressure calculations in a two-component system. These equations are based on Raoult's law, which states that the vapor pressure of a component in a mixture is equal to the mole fraction of that component multiplied by its pure vapor pressure at that temperature.

(a) BUBL P calculation:

To calculate the bubble point pressure (P), we can use the equation:

P = x1 * P1 + (1 - x1) * P2

Plugging in the given values, we have:

P = (0.05 * 79.80) + (1 - 0.05) * 40.50

Solving this equation will give the bubble point pressure (P).

(b) DEW P calculation:

To calculate the dew point pressure (P), we can use a similar equation:

P = y1 * P1 + (1 - y1) * P2

Plugging in the given values, we have:

P = (0.05 * 79.80) + (1 - 0.05) * 40.50

Solving this equation will give the dew point pressure (P).

(c) Azeotrope composition and pressure:

To find the azeotrope composition, we need to solve the equations:

In y1 = 0.95x2^2, we can substitute x2 = 1 - x1:

In y1 = 0.95(1 - x1)^2, we can simplify and solve for x1.

Once we have x1, we can use the equation P = x1 * P1 + (1 - x1) * P2 to calculate the azeotrope pressure.