The pH of a solution can be calculated using the formula:
pH = -log[H+]
where [H+] is the concentration of hydrogen ions in the solution. To find the pH when given the hydroxide ion concentration, we need to use the fact that:
[H+][OH-] = 1x10^-14
where [OH-] is the concentration of hydroxide ions in the solution.
Rearranging this equation to solve for [H+], we get:
[H+] = 1x10^-14 / [OH-]
Plugging in the given hydroxide ion concentration, we get:
[H+] = 1x10^-14 / 4.8x10^-8
[H+] = 2.083x10^-7
Now, we can find the pH using the formula above:
pH = -log[H+]
pH = -log(2.083x10^-7)
pH ≈ 6.68
Therefore, the pH of the solution is 6.68.