(a)
Interpretation:
The bubble point pressure for any one of the given binary systems in table
Concept Introduction:
Antoine equation is used to determine the vapor pressure of any substance at the given temperature by the equation:
Here,
Equation
The Bubble point pressure for a binary system in vapor/liquid equilibrium is defined as the pressure where first bubble of vapor appears which is in equilibrium with the liquid present in the system. The equation which defines this pressure at this point is:
Wilson equations to be used are:
Here, the parameters
Where,
(a)
Answer to Problem 13.47P
The bubble point pressure for
Explanation of Solution
Given information:
The temperature at which the bubble point pressure is to be calculated is
Wilson equation parameters are given in Table 13.10 as shown below:
The binary system for which the bubble point pressure will be calculated is
From table B.2 of appendix B, the Antoine equation constants for
Now, use equation (1) to calculate the vapor pressure of
From table
The value of universal gas constant to be used is,
Now, use equation (5) to calculate the values of
Now, use these values of
Calculate the bubble point pressure of the system using equation (3) as:
(b)
Interpretation:
The dew point pressure for any one of the given binary systems in table
Concept Introduction:
Equation
Wilson equations to be used are:
Here, the parameters
Where,
The Dew point pressure for a binary system in vapor/liquid equilibrium is defined as the pressure where first drop of liquid appears which is in equilibrium with the vapor present in the system at a particular temperature. The equation that defines this pressure at this point is:
(b)
Answer to Problem 13.47P
The dew point pressure for
Explanation of Solution
Given information:
The temperature at which the dew point pressure is to be calculated is
Wilson equation parameters are given in Table 13.10 as shown below:
Use the values of
From table
The value of universal gas constant to be used is,
Now, use equation (5) to calculate the values of
1st iteration:
Now, use these values of
Now, calculate the dew point pressure of the system using equation (6) as:
Apply Raoult’s law on both the components and use this dew point pressure to calculate
Now, use this calculated value of
2nd iteration:
Calculate the values of
Now, calculate the dew point pressure of the system using equation (6) as:
Apply Raoult’s law on both the components and use this dew point pressure to calculate
3rd iteration:
Calculate the values of
Now, calculate the dew point pressure of the system using equation (6) as:
Apply Raoult’s law on both the components and use this dew point pressure to calculate
4thiteration:
Calculate the values of
Now, calculate the dew point pressure of the system using equation (6) as:
Apply Raoult’s law on both the components and use this dew point pressure to calculate
5th iteration:
Calculate the values of
Now, calculate the dew point pressure of the system using equation (6) as:
Apply Raoult’s law on both the components and use this dew point pressure to calculate
Since,
Therefore,
(c)
Interpretation:
Concept Introduction:
Equation
The Bubble point pressure for a binary system in vapor/liquid equilibrium is defined as the pressure where first bubble of vapor appears which is in equilibrium with the liquid present in the system. The equation which defines this pressure at this point is:
The Dew point pressure for a binary system in vapor/liquid equilibrium is defined as the pressure where first drop of liquid appears which is in equilibrium with the vapor present in the system at a particular temperature. The equation that defines this pressure at this point is:
The equation for equilibrium ratio,
Here,
The equations for flash calculations to be used are:
Here,
In terms of
Here,
(c)
Answer to Problem 13.47P
The result of the
Explanation of Solution
Given information:
The flash temperature at which the
The condition for the flash pressure for this system is,
Wilson equation parameters are given in Table 13.10 as shown below:
Use the values of
To perform
To calculate bubble point pressure, let
Since, the given conditions are same as in part (a), the calculated value of
To calculate dew point pressure, let
Since, the given conditions are same as in part (a), the calculated value of
From the given condition of the flash pressure, it is calculated as:
Now, using the modified Raoult’s law, calculate the values of equilibrium ratio of component 1 and 2 using equations (2) and (7) as:
Now, use equation (9) and write it for both the component, 1 and 2 as shown below:
Since,
Now, use equation (8) to calculate the value of
Also, use the calculated value of
Using these values and the calculated values of
The result of the
(d)
Interpretation:
The values of the azeotropic pressure and composition of the system is to be calculated if it exists for the given binary system.
Concept Introduction:
Equation
Wilson equations to be used are:
Here, the parameters
Where,
Relative volatility is defined by,
When
At the azeotropic point,
(d)
Answer to Problem 13.47P
The azeotropic values of pressure and composition for the binary system is calculated as:
Explanation of Solution
Given information:
The temperature at which the azeotrope of the system may exists is
Wilson equation parameters are given in Table 13.10 as shown below:
Use the values of
From table
The value of universal gas constant to be used is,
Now, use equation (5) to calculate the values of
Now, use these values of
Using equation (11) along with the modified Raoult’s law, calculate the value of relative volatility at
For
Using equation (11) along with the modified Raoult’s law, calculate the value of relative volatility at
Since
To calculate the azeotropic pressure, consider the condition
1st iteration:
Now, use the values of
Now, calculate the azeotropic pressure of the system as:
Apply Raoult’s law on both the components and use this pressure to calculate
Now, use this calculated value of
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