If you have a 8.545 M solution of NaOH, what is the pH of the solution? Assume the solution is at 25 ° C. Provide your response to one digit after the decimal.

See explanation below

Explanation:

A solution of NaOH is a really strong base, so, when it's dissolved in water to form a solution, it dissociates completely in it's ions:

NaOH > Na⁺ + OH⁻

So, to calculate the pH, we first need to calculate the OH concentration. As it was stated before, a strong base like this, it will dissociate completely so the concentration of OH will be the same concentration of NaOH:

[OH⁻] = 8.545 M

The pH is calculated with the following expression:

14 = pH + pOH

So, with the OH we can calculate the pOH, and then, the pH:

pOH = -log[OH⁻]

pOH = -log(8.545) = -0.93

So the pH:

pH = 14 - pOH

pH = 14 - (-0.93)

pH = 14.93 and rounded it will be 14.9