The percent of histidine side chains would be deprotonated at pH 7.5 is 5.77 %.
The term pKa refers to the negative logarithm of the acid dissociation constant (Ka). The pH is the negative logarithm of the hydrogen ion concentration.
Hence;
Ka = Antilog (-6) =[tex]1 * 10^-6[/tex]
[H^+] = Antilog (-7.5) = [tex]3 * 10^-8 M[/tex]
We now have to use the formula;
α = [tex]\sqrt{} \frac{Ka}{[H^+] }[/tex]
α = [tex]\sqrt{} \frac{ 1 *10^-6}{3 *10^-8 }[/tex]
α = 5.77 %
Hence, the percent of histidine side chains would be deprotonated at pH 7.5 is 5.77 %.
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