If you have 500 mL of a 0.10 M solution of the acid, what mass of the corresponding sodium salt of the conjugate base do you need to make th

Question

If you have 500 mL of a 0.10 M solution of the acid, what mass of the corresponding sodium salt of the conjugate base do you need to make the buffer with a pH of 7.74 (assuming no change in volume)

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Vodka 3 years 2021-08-01T02:15:47+00:00 1 Answers 583 views 0

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    2021-08-01T02:17:40+00:00

    Answer:

    5.90g of NaClO are needed

    Explanation:

    Assuming the weak acid is HClO pKa = 7.54

    To solve this question we must use the H-H equation for acids:

    pH = pKa + log [A-] / [HA]

    Where pH is the pH we want = 7.74

    pKa is pKa of the weak acid = 7.54

    [A-] could be taken as the moles of the conjugate base (Moles NaClO) and [HA] moles weak acid = 0.500L * (0.10mol/L) = 0.0500 moles HClO

    Replacing:

    7.74 = 7.54 + log [NaClO] / [0.0500 moles]

    0.20 = log [NaClO] / [0.0500 moles]

    1.5849 = [NaClO] / [0.0500 moles]

    Moles NaClO = 0.0792 moles

    The mass is: -Molar mass NaClO = 74.44g/mol-

    0.0792 moles * (74.44g / 1mol) =

    5.90g of NaClO are needed

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