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25 May, 02:12

What is the hydroxide concentration of a solution with a pH of 12.80?

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  1. 25 May, 05:15
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    Step1 : To convert from pH to ion concentrations, first apply equation 17-1 to calculate [H3O+]. Then make use of water equilibrium to calculate [OH-]

    Step 2 : We must rearrange equation pH = - log [H+], in order to solve for concentration

    Step 3 : log [H+] = - pH and [H+] = 10 - pH

    Step 4; Now substitute and evaluate:

    [H+] = 10-3.05 = 8.9 x 10-4 M

    Step 5: To determine the hydroxide ion concentration, we need to rearrange the water equilibrium expression:

    Kw = 1.0 x 10 - 14 = [H3O+]eq [OH-] and [OH-]eq = 1.0 x 10 - 14 / [H3O+]

    now susbtitute and evaluate:

    = 1.0 x 10 - 14 / 8.9 x 10-4 = 1.1 x 10-11 M

    Sample protblem 2 : What is the OH - ion concetraion of a solution of NaOH with pH 13.40?

    Solution:

    Step 1 : First find pOH from the given pH:

    pH + pOH = 14

    pOH = 14 - 13.40 = 0.60

    Step 2 : As you have now the value of pOH you can find the OH - ion concentration using formula

    pOH = - log [OH-]

    [OH - ] = 10 - pOH = 10 - 0.60 = 0.25 M
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