Question:

Calculate the amount of water (mL) that needs to be added to 100.0 ml of .53 M acetic acid

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to make a solution of pH=3.00

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  1. we first find the strength of solution that has a pH= 3,.... H+ = 1e-3

    Ka = [H+] [C2H3O2-] / [HC2H3O2]

    1.8 e-5 = [ 1e-3] [ 1e-3] / [HC2H3O2]

    [HC2H3O2] = 1e-6 / 1.8e-5

    [HC2H3O2] = 0.0555 molar

    =====================

    now we use the dilution formula:

    C1V1 = C2V2

    (0.53M) (100.0ml) = (0.0555M) V2

    V2 = 954.1 ml

    ===========================

    your answer: you need to add 854.1 ml of water

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