The Ka of the solution is 8.1 * 10^-9.
The pH of a solution is the concentration of hydrogen ions in the solution.
Number of moles of the acid = 26.816g/153.483g/mol = 0.175 moles
Concentration of the acid = 0.175 moles/0.5 L = 0.35 M
Now we know that the acid reacts with water as follows;
HA(aq) + H2O(l) ------> H3O^+(aq) + A^-(aq)
[H3O^+] = Antilog (-4.274)
[H3O^+] = 5.32 * 10^-5 M
Since;
[H3O^+] = [A^-] = x
Ka = x^2/[HA]
Ka = (5.32 * 10^-5)^2/( 0.35)
Ka = 8.1 * 10^-9
Hence, the Ka of the solution is 8.1 * 10^-9.
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