If solution A has a pH that is four pH units greater than that of solution B, how much greater is the H3O+ concentration in solution B than in solution A?

If solution A has a pH that is four pH units greater than that of solution B, the H₃O⁺ concentration in solution B is 10⁴ times greater than that of solution A.

The pH of a solution is given by:

Solution A has a pH that is four pH units greater than that of solution B, so:

or      

The H₃O⁺ concentration of solution B is related to that of solution A as follows:

Therefore, the H₃O⁺ concentration in solution B is 10⁴ times greater than that of solution A.

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10⁴

Explanation:

There is usually a 10-time fold change in H₃O+ ions from one pH level to the other. The lower the pH level the higher the H₃O+ ions. Therefore for  solution A that has a pH that is four pH units greater than that of solution B, then solution B will have;

10⁴ more H₃O+ ions than solution A

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