(a)
Interpretation:
The
Concept Introduction:
The value of
(a)
Answer to Problem 3.44P
The
Explanation of Solution
Given Information:
The virial equation is given as
For ethylene, the second and third virial coefficients are:
From given virial equation
Put the given values
On solving the equation
So,
(b)
Interpretation:
The
Concept Introduction:
In order to find value of
(b)
Answer to Problem 3.44P
The
Explanation of Solution
Given Information:
The virial equation in reduced conditions is given as
Here
For ethylene at given temperature and pressure, the critical conditions are written from table B.1 in appendix B,
For calculation of
And
So,
and
Hence, value of
And value of compressibility factor,
(c)
Interpretation:
The
Concept Introduction:
The Redlich/Kwong equations is an iterative procedure. So, we will use hit and trial procedure and guess some values of
According to Redlich/Kwong equations, the molar volume of saturated vapor can be found using formula:
(c)
Answer to Problem 3.44P
From Redlich/Kwong equations, the molar volume of ethylene is:
Explanation of Solution
Given Information:
The Redlich/Kwong equation is
....(1)
Here
From table 3.1 in the example based on Redlich/Kwong equation given in book, the values used to calculate the terms in equation (1) are:
For Redlich/Kwong:
And,
So,
For ethylene, put values in equation (1)
Using hit and trial method and compare both side of equation, the calculated value is:
Hence,
(d)
Interpretation:
The
Concept Introduction:
The Soave/Redlich/Kwong equations is an iterative procedure. So, we will use hit and trial procedure and guess some values of
According to Redlich/Kwong equations, the molar volume of ethylene can be found using formula:
(d)
Answer to Problem 3.44P
From Soave/Redlich/Kwong equations, the molar volume of ethylene is:
Explanation of Solution
Given Information:
The Soave/Redlich/Kwong equation is
....(1)
Here
From table 3.1 in the example based on Soave/Redlich/Kwong equation given in book, the values used to calculate the terms in equation (1) are:
For Soave/Redlich/Kwong:
The values of reduced temperature and pressure are same as found in subpart (c), From reference subpart (c),
So,
For ethylene, put values in equation (1)
Using hit and trial method and compare both side of equation, the calculated value is:
Hence,
(e)
Interpretation:
The
Concept Introduction:
The Peng/Robinson equation is an iterative procedure. So, we will use hit and trial procedure and guess some values of
According to Peng/Robinson equation, the molar volume of ethylene can be found using formula:
(e)
Answer to Problem 3.44P
From Soave/Redlich/Kwong equations, the molar volume of ethylene is:
Explanation of Solution
Given Information:
The Peng/Robinson equation is
....(1)
Here
From table 3.1 in the example based on Peng/Robinson equation given in book, the values used to calculate the terms in equation (1) are:
For Peng/Robinson equation:
The values of reduced temperature and pressure are same as found in subpart (c), From reference subpart (c),
So,
For ethylene, put values in equation (1)
Using hit and trial method and compare both side of equation, the calculated value is:
Hence,
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Chapter 3 Solutions
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