Question 22.8: GRADED Calculate equilibrium constants for the two acid-base...
GRADED
Calculate equilibrium constants for the two acid-base reactions above.
ⓐ CH_{3}NH_{2}(aq) + H^{+}(aq) → CH_{3}NH_{3}^{+}(aq)
ⓑ CH_{3}NH_{2}(aq) + CH_{3}COOH(aq) \rightleftharpoons CH_{3}NH_{3}^{+}(aq) + CH_{3}COO^{-}(aq)
ⓐ
ANALYSIS | |
reaction (CH_{3}NH_{2}(aq) + H^{+}(aq) → CH_{3}NH_{3}^{+}(aq)) | Information given: |
K_{a} for CH_{3}NH_{3}^{+} | Information implied |
K | Asked for |
STRATEGY
1. Note that the given equation is the reverse of the equation for the dissociation of a weak acid.
2. Find K_{a} for CH_{3}NH_{3}^{+} in Appendix 1 and use the reciprocal rule (Chapter 12).
ⓑ
ANALYSIS | |
reaction (CH_{3}NH_{2}(aq) + CH_{3}COOH(aq) → CH_{3}NH_{3}^{+}(aq) + CH_{3}COO^{-}(aq)) From (a): K (4.2 × 10^{10}) for the reaction CH_{3}NH_{2}(aq) + H^{+}(aq) \rightleftharpoons CH_{3}NH_{3}^{+}(aq) |
Information given: |
K_{a} for CH_{3}COOH | Information implied |
K | Asked for |
STRATEGY
1. Break up the given equation into two reactions
CH_{3}NH_{2} \rightleftharpoons CH_{3}NH_{3}^{+} (1)
CH_{3}COOH \rightleftharpoons CH_{3}COO^{-} (2)
2. Find K for each reaction
3. Combine the two equations and their Ks. Apply the Rule of Multiple Equilibria (Chapter 12).
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