Question 8.E.G: The pH of 0.10 M ethylamine is 11.82. (a) Without referring ...

The pH of 0.10 M ethylamine is 11.82.

(a) Without referring to Appendix G, find K_{b} for ethylamine.
(b) Using results from part (a), calculate the pH of 0.10 M ethylammonium chloride.

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(a)  \underset{F  –  x}{CH_{3}CH_{2}NH_{2}} + H_{2}O \rightleftharpoons \underset{x}{CH_{3}CH_{2}NH_{3}^{+}} + \underset{x}{OH^{- }}

Because pH = 11.82, [OH^{−}] = K_{w}/10^{−pH} = 6.6 × 10^{−3} M = [BH^{+}].

[B] = F − x = 0.093 M.

K_{b} = \frac{[BH^{+}][OH^{- }]}{[B]} = \frac{(6.6 × 10^{−3})²}{0.093} = 4.7 × 10^{−4}

(b)  \underset{F  –  x}{CH_{3}CH_{2}NH_{3}^{+}} \rightleftharpoons \underset{x}{CH_{3}CH_{2}NH_{2}} + \underset{x}{H^{+ }}

K_{a} = \frac{K_{w}}{K_{b}} = 2.1 × 10^{−11}

\frac{x²}{F  −  x} = K_{a} ⇒ x = 1.4_{5} × 10^{−6} M ⇒ pH = 5.84

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