A solution is prepared by adding 0.01 M acetic acid and 0 .01 M ethylamine to water and adjusting the pH to 7.4. What is the ratio of acetate to acetic acid? What is the ratio of ethylamine to ethylammonium ion?

Respuesta :

Answer :

(a) The ratio of acetate to acetic acid is, [tex]4.47\times 10^2[/tex]

(b) The ratio of ethylamine to ethylammonium ion is, [tex]3.89\times 10^{-4}[/tex]

Explanation :

Part (a) :

Using Henderson Hesselbach equation :

[tex]pH=pK_a+\log \frac{[Salt]}{[Acid]}[/tex]

[tex]pH=pK_a+\log \frac{[CH_3COO^-]}{[CH_3COOH]}[/tex]

Given:

[tex]pK_a[/tex] for acetic acid = 4.75

pH = 7.4

Now put all the given values in this expression, we get:

[tex]7.4=4.75+\log \frac{[CH_3COO^-]}{[CH_3COOH]}[/tex]

[tex]\frac{[CH_3COO^-]}{[CH_3COOH]}=446.68=4.47\times 10^2[/tex]

Thus, the ratio of acetate to acetic acid is, [tex]4.47\times 10^2[/tex]

Part (b) :

Using Henderson Hesselbach equation :

[tex]pH=pK_a+\log \frac{[Salt]}{[Acid]}[/tex]

[tex]pH=pK_a+\log \frac{[\text{ethylamine}]}{[\text{ethylammonium ion}]}[/tex]

Given:

[tex]pK_a[/tex] for ethylamine = 10.81

pH = 7.4

Now put all the given values in this expression, we get:

[tex]7.4=10.81+\log \frac{[\text{ethylamine}]}{[\text{ethylammonium ion}]}[/tex]

[tex]\frac{[\text{ethylamine}]}{[\text{ethylammonium ion}]}=3.89\times 10^{-4}[/tex]

Thus, the ratio of ethylamine to ethylammonium ion is, [tex]3.89\times 10^{-4}[/tex]