Calculating molar concentrations

Question

Calculate the molar concentrations of H⁺ and OH^- in solutions that have a pH = 8.26

Answer 1

First our Equations.......

pH + pOH = 14

pH = -log [H+], which means H+ = 10^-ph

pOH = -log [OH-], which means OH- = 10^-pOH

Now time for math. First let's find our pOH.....

pH + pOH = 14

8.26 + pOH = 14

pOH = 14 - 8.26 = 5.74

Now we can plug our pH and pOH values into the above derived equations to get the molar concentrations for our H+ and PH- ions

H+ = 10^-pH = 10^-8.26 = 5.4954 x 10^-9 M

OH- = 10^-pOH = 10^-5.74 = 1.8197 x 10^-6 M