The nitrite ion has Kb = 2.17 x 10^-11. What is Ka for nitrous acid, its conjugate acid?
A2.17 x 10^-3
B4.6 x 10^-4
C2.2 x 10^-25
D4.6 x 10^-11
Answer & Solution
Correct answer: B. 4.6 x 10^-4
1. For a conjugate pair the two constants multiply to give the ion product for water.
2. So the acid constant is the ion product divided by the base constant.
3. Substitute: 1.0 x 10^-14 divided by 2.17 x 10^-11.
4. Divide the coefficients: 1.0 divided by 2.17 is 0.46.
5. Subtract the exponents: minus 14 minus minus 11 gives minus 3.
6. Combine: 0.46 x 10^-3, which is written as 4.6 x 10^-4.
7. Multiplying the two constants instead of dividing gives the trap value near 10^-25.
8. This route is how a missing acid constant is obtained when only the base value is tabulated.
_Source: OpenStax Chemistry (CC BY 4.0), Ch 14 "Acid-Base Equilibria", section 14.3 Relative Strengths of Acids and Bases_
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