Question

Suppose you wanted to produce an aqueous solution of = 8.65 by dissolving the following salt KNO2. At what molarity would you use?

Answer 1

Suppose you wanted to produce an aqueous solution of = 8.65 <b>WHAT</b> by dissolving the following salt KNO2. At what molarity would you use?

Answer 2

I assume the desired pH is 8.65 although you did not label it, as DrBob pointed out.
Ka = [H+][NO2-] / [HNO2]
[H+] = antilog(-8.65)=2.24x10^-9 (a basic solution)
[OH-] = Kw / [H+]
[OH-] = (1x10^-14)/(2.24x10^-9) = 4.47x10^(-6)
Ka = [H+][NO2-] / [HNO2] = 4.5x10^-4 (looked up)
Kb = Kw / Ka = (1x10^-14) / (4.5x10^-4) = 2.22x10^-11
The basic solution is formed by the hydrolysis of NO2-. The equilibrium constant is the same as the Kb:
NO2-(aq) + H2O <=> HNO2 + OH-(aq)
Kb = [HNO2][OH-] / [NO2-]
assuming [HNO2]=[OH-],
2.22x10^-11 = [4.47x10^(-6)][4.47x10^(-6)] / {[NO2-]-[4.47x10^(-6)]} or.
2.22x10^-11 = [4.47x10^(-6)][4.47x10^(-6)] / [NO2-], since 4.47x10^(-6) is very small compared to [NO2-].
Solve for [NO2-] which is the same as the concentration of NaNO2.