asked 27.3k views
2 votes
The ka for hydrocyanic acid (hcn) is 4.9 × 10−10. what is [oh−] in a 0.075 m solution of sodium cyanide (nacn)?

asked
User Chikitin
by
7.8k points

1 Answer

3 votes
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


answered
User Dmitro
by
8.2k points
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