Based on the experimental data, I was able to calculate the experimental pKa value which is 5.04 and the literature value of the pKa for KHP is 5.51. If I would be computing for the relative error between the two pKa's it would be 8.52994555%. But then, what i need is the relative error between the experimental and theoretical Ka. So, I calculated for the Ka of both and got the following: experimental Ka is 9.12010839E-6 and the theoretical Ka is 3.0902953E-6. And based on this I calculated for the relative error of the two Ka's and I got a relative error of 195.120923%
see below.
To calculate the relative error between the experimental and theoretical Ka values, you can use the following formula:
Relative error (%) = |(experimental value - theoretical value) / theoretical value| * 100
Using this formula, let's calculate the relative error between the experimental and theoretical Ka values:
Absolute difference in Ka values = |9.12010839E-6 - 3.0902953E-6| = 6.02981309E-6
Relative error (%) = (6.02981309E-6 / 3.0902953E-6) * 100 = 195.120923%
Therefore, the relative error between the experimental and theoretical Ka values is 195.120923%.
To calculate the relative error between two values, you can use the following formula:
Relative Error (%) = |(Experimental Value - Theoretical Value) / Theoretical Value| * 100
In this case, you want to calculate the relative error between the experimental and theoretical Ka values.
The experimental Ka is 9.12010839E-6 (scientific notation), and the theoretical Ka is 3.0902953E-6 (scientific notation).
Using the formula above, we can calculate the relative error:
Relative Error (%) = |(9.12010839E-6 - 3.0902953E-6) / 3.0902953E-6| * 100
Relative Error (%) = |6.02981309E-6 / 3.0902953E-6| * 100
Relative Error (%) = 1.95120923 * 100
Relative Error (%) = 195.120923%
Therefore, the relative error between the experimental and theoretical Ka values is 195.120923%.