Interpretation:
The relation between the parameters of Antoine equation which is written in two different forms should be determined.
Answer to Problem 1.2P
The relation between the parameters of Antoine equation which is written in two different forms is:
A = 2.303a
B = 2.303b
C = c-273.15
And,
Explanation of Solution
Given information:
Antoine equation can be expressed in following two forms-
And
Where
And a, b, c, A, B, C are substance specific constants
- Antoine Equation relates the Vapor pressure of the substance to the temperature.
- The given two forms of equation differ in terms of units of pressure and temperature. Hence to find the relation b/w a, b, c and A, B, C, we must convert the equation1 so that it has the same unit as that of equation 2.
Calculation:
We have equation 1 as-
- Consider Left hand side of equation (1)- First convert log10into ln by multiplying equation (1) by 2.303:
- Now convert the unit of Pressure from torr to KPa:
1 torr = 133.32 Pa =
Therefore,
Now we know that,
Thus,
Finally,
- Now consider the right hand side of the equation (1) and convert the temperature into Kelvin(K)
Thus, putting equation (3) and (4) in equation (1), we get
Hence, by comparing equation (2) and equation (5), we can relate a, b, c and A,B,C as:
A = 2.303a
B = 2.303b
C = c-273.15
And,
The relation between the parameters of Antoine equation which is written in two different forms is:
A = 2.303a
B = 2.303b
C = c-273.15
And,
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Chapter 1 Solutions
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