Here we have to get the the [tex]P^{H}[/tex] of the solution containing HOBr and KOBr.
The [tex]P^{H}[/tex] of the solution is 8.47
The mixture of HOBr and KOBr is a buffer solution. The [tex]P^{H}[/tex] of the buffer solution is determined by the Henderson equation which is:
[tex]P^{H}[/tex] = [tex]P_{K}_{a}[/tex] + log [tex]\frac{[salt]}{[acid]}[/tex]
Here [salt] i.e. KOBr is 0.30 mol/L and [Acid] is 0.50 mol/L.
The [tex]K_{a}[/tex] value of HOBr is 2×10⁻⁹.
We know, [tex]P_{K}_{a}[/tex] = -log[tex]K_{a}[/tex]
Or, [tex]P_{K}_{a}[/tex] = -log (2×10⁻⁹)
Or, [tex]P_{K}_{a}[/tex] = 8.698
On plugging the values:
[tex]P^{H}[/tex] = 8.698 + log [tex]\frac{0.3}{0.5}[/tex]
Or, [tex]P^{H}[/tex] = 8.698 - 0.221
Or, [tex]P^{H}[/tex] = 8.47
Thus the [tex]P^{H}[/tex] of the solution is 8.47.
