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What is the [OH-] of a 1x10-3 M solution of NH4Cl?

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Chemistry

What is the [OH-] of a 1x10-3 M solution of NH4Cl?

Answer & Explanation Solved by verified expert
3.6 Ratings (574 Votes)

NH3 , Kb value = 1.8 x 10^-5

Ka = Kw / Kb = 1.0 x 10^-14 / 1.8 x 10^-5

Ka = 5.55 x 10^-10

NH4+   -----------------------> NH3 + H+

10^-3                                    0        0

10^-3-x                                 x         x

Ka = x^2 / 10^-3 -x

5.55 x 10^-10 = x^2 / 10^-3 -x

x^2 + 5.55 x 10^-10 x - 5.55 x 10^-13 = 0

x = 7.44 x 10^-7

[H+] = 7.44 x 10^-7 M

[OH-] = Kw [H+]

             = 1.0 x 10^-14 / 7.44 x 10^-7

              = 1.34 x 10^-8 M

[OH-] = 1.34 x 10^-8 M
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