PH is given by the formula pH = - log [H+]

where (H+) is the concentration of

hydrogen in moles per liter. If the pH of

Bill's swimming pool is 7.8 and the pH of

Maura's swimming pool is 7.2, whose

pool has a greater concentration of

hydrogen? How many times greater is it?

Maura's 4 times

Step-by-step explanation:

The logarithm function is monotonic with a positive slope everywhere. So, the logs of numbers are in the same order as the numbers themselves. pH is the negative of the logarithm, so the pH values are in the reverse order of the numbers themselves.

Maura's pool has a lower pH, so will have a higher concentration of hydrogen ions.

The log of a ratio is the difference of the logs. Here, the difference of the logs is 7.8 - 7.2 = 0.6, so the ratio of H + concentrations in the two pools is ...

10^0.6 ≈ 4.0

Maura's pool has 4 * the H + concentration of Bill's pool.