The ka for hydrocyanic acid (hcn) is 4.9 × 10−10. what is [oh−] in a 0.075 m solution of sodium cyanide (nacn)?

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31-03-2018
Chemistry

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The ka for hydrocyanic acid (hcn) is 4.9 × 10−10. what is [oh−] in a 0.075 m solution of sodium cyanide (nacn)?

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superman1987 superman1987 · Answer 1 · 2018-04-10T23:41:45+02:00

by using ICE table:

CN- + H2O ↔ HCN + OH-

initial 0.075 0 0

change -X +X +X

Equ (0.075-X) X X

when Kb = Kw/Ka

∴Kb = 1 x 10^-14 / 4.9 x 10^-10

= 2 x 10^-5

and when Kb = [HCN][OH]/[CN-]

by substitution:

2 x 10^-5 = X^2 / (0.075 - X) by solving for X

∴ x = 0.0012 M

∴[OH] = 0.0012 M