(a)
Interpretation:
The value of
Concept Introduction :
To find the values of
For critical conditions,
For Redlich/Kwong equation of state,
(a)
Answer to Problem 3.85P
Explanation of Solution
Given information:
The general expressions for
And
The general cubic equation of state may itself be written for the critical conditions, from equation (1) at critical conditions,
Now replace five unknowns
Taking L.C.M
Divide the whole equation by
Rearrange,
In terms of non-critical condition
The above equation is similar as
And
Now, the three general derived equations are the term of critical temperature, pressure and volume. Three equations and we will have five unknowns
From equation
Divide by
Since,
Gives
From equation
Divide by
Since,
Gives
Or,
Or,
Or
From equation
Divide by
Since,
Gives
Or,
Or
Or,
For Redlich/Kwong equation of state,
Put values in equation (2) (3) and (4),
Put values in equation (3),
Put values in equation (4),
From equation
After solving cubic equation, roots of
Since value of
And
Hence proved.
(b)
Interpretation:
The value of
Concept Introduction :
To find the values of
For critical conditions,
For Soave/Redlich/Kwong equation of state,
(b)
Answer to Problem 3.85P
Explanation of Solution
Given information:
The general expressions for
And
For Soave/Redlich/Kwong equation of state,
Put values in general equation (2) (3) and (4) found in subpart (1),
Put values in equation (3),
Put values in equation (4),
From equation
After solving cubic equation, roots of
Since value of
And
Hence proved.
(c)
Interpretation:
The value of
Concept Introduction :
To find the values of
For critical conditions,
For Peng/Robinson equation of state,
(c)
Answer to Problem 3.85P
Explanation of Solution
Given information:
The general expressions for
And
For Peng/Robinson equation of state,
Put values in general equation (2) (3) and (4) found in subpart (1),
Put values in equation (3),
Put
Put values in equation (4),
From equation 4
Put value in equation 5
After solving cubic equation, roots of
Since value of
And
And
Hence proved.
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Chapter 3 Solutions
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