How does pH = 8.75 give (H^+) = 1.77 x 10^-9.

To understand how pH = 8.75 gives (H^+) = 1.77 x 10^-9, you need to know about the relationship between pH and the concentration of hydrogen ions (H^+) in a solution.

The pH scale is a logarithmic scale that measures the acidity or alkalinity of a solution. pH values range from 0 to 14, where pH 0 represents a highly acidic solution, pH 7 is neutral, and pH 14 indicates a highly alkaline solution. The pH scale is defined based on the concentration of hydrogen ions in a solution.

The formula to calculate pH is:
pH = -log(H^+)

In this case, you have pH = 8.75. To find the concentration of hydrogen ions (H^+), you need to rearrange the formula:

H^+ = 10^(-pH)

Substituting the given pH value:
H^+ = 10^(-8.75)

Calculating this expression:

H^+ ≈ 1.77 x 10^-9

So, pH = 8.75 corresponds to a hydrogen ion concentration of approximately 1.77 x 10^-9 moles per liter.