Acetic acid has Ka = 1.8 x 10^-5. What is Kb for the acetate ion at 25 degrees Celsius?
A1.8 x 10^-9
B1.8 x 10^-19
C5.6 x 10^-10
D5.6 x 10^-5
Answer & Solution
Correct answer: C. 5.6 x 10^-10
1. Acetic acid and acetate form a conjugate pair, so their constants multiply to Kw.
2. Rearranged, the base constant equals Kw divided by the acid constant.
3. Divide the coefficients: 1.0 divided by 1.8 is 0.56.
4. Subtract the exponents: minus 14 minus minus 5 gives minus 9.
5. Combine: 0.56 x 10^-9, written as 5.6 x 10^-10.
6. Multiplying the two constants instead would give a value near 10^-19.
_Source: OpenStax Chemistry (CC BY 4.0), Ch 14 "Acid-Base Equilibria", section 14.4 Hydrolysis of Salt Solutions_
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