High School

Calculate the molar hydroxide ion concentration of each of the following solutions given the pH.

1. pH = 0.82
2. pH = 1.57

Answer :

Final answer:

To find the hydroxide ion concentration in solutions with given pH values, we first calculate the pOH by subtracting the pH from 14. The hydroxide ion concentration is then found by taking the inverse base 10 logarithm of the pOH.

Explanation:

The pH and pOH of a solution are related by the equation: pH + pOH = 14. To find the hydroxide ion concentration, we first need to find the pOH by rearranging the equation to: pOH = 14 - pH.

For a solution with pH=0.82, the pOH = 14 - 0.82 = 13.18. For a solution with pH = 1.57, the pOH = 14 - 1.57 = 12.43.

The molar hydroxide ion concentration can then be found by taking the inverse logarithm (base 10) of the pOH: [OH-] = 10^-pOH. Therefore, for the solution with pH = 0.82, the [OH-] = 10^-13.18; and for the solution with pH=1.57, the [OH-] = 10^-12.43.

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