1. Understand the Relationship Between pH and [H3O+]

* pH is a measure of the acidity or alkalinity of a solution. It's defined as the negative logarithm (base 10) of the hydronium ion concentration ([H3O+]).

* [H3O+] represents the concentration of hydronium ions, which are responsible for acidic properties.

2. Calculate the [H3O+] of the Original Solution

* Use the formula: [H3O+] = 10^(-pH)

* For the original solution with pH 3.22:

[H3O+] = 10^(-3.22) = 6.03 x 10^-4 M

3. Determine the [H3O+] of the Less Acidic Solution

* The new solution is 100 times less acidic, meaning its [H3O+] is 100 times lower than the original solution.

* Calculate the new [H3O+]:

[H3O+] (new) = [H3O+] (original) / 100

[H3O+] (new) = (6.03 x 10^-4 M) / 100

[H3O+] (new) = 6.03 x 10^-6 M

Therefore, the H3O+ concentration in the solution that is 100 times less acidic than the one with a pH of 3.22 is 6.03 x 10^-6 M.