 #1
 12
 0
Homework Statement:

(1) You are supplied with propanoic acid, CH3CH2CO2H, which has a pKa of 4.87 and density of 0.992 g/mL. If you take 8.62 mL of propanoic acid and make an aqueous solution with a total volume of 1450.0mL, what is the molarity of the solution?
(2) What is the pH of the propanoic acid solution?
(3) If 9.6 grams of sodium propanoate is added to 1.00L of the propanoic acid solution made in (1), what is the new pH for the buffer solution?
(4) If 0.01M of HCl(g) is bubbled into the buffer solution in (3), what is the change in pH assuming that there is no volume change?
(5) If 0.40g of NaOH(s) is dissolved in the buffer solution in (3), what is the change in pH assuming that there is no volume change?
Relevant Equations:

Ka=[H+][A]/[HA]
pH = log[H+]
Others?
Hi everyone. I'm doing the multistep problem above, and I've found myself stuck at part 3.
For step 1, I determined that the equation that we're dealing with is:
$$CH_3CH_2CO_2H + H_2O ⇔ CH_3CH_2CO_2^ + H_3O^+$$
I've also determined that the molar mass of propanoic acid is about 74.08g/mol, and we therefore have 0.11543 mol of propanoic acid. So we have $$\frac{0.11543 mol}{1.45L} = 0.07961 M$$
For part (2) I first found Ka. We are given pKa as 4.87. pKa = log(Ka) so $$log(K_a)=4.87$$
$$log(K_a)=4.87$$
$$K_a=10^{4.87}$$
$$K_a=1.349*10^{5}$$
Based on the equation I determined in the previous step, we know that $$K_a=\frac{[CH_3CH_2CO_2^][H_3O^+]}{[CH_3CH_2CO_2H]}$$
Using an ICE table I determined that $$1.349*10^{5}=\frac{[x][x]}{[0.07961x]}$$.
When solved for x, this produces x=0.00103, which corresponds to the concentrations of H30+ and CH3CH2CO2. As pH is equal to log[H+], we get pH=log(0.00103), which gives pH=2.987.
For part 3, however, I am completely stumped. I cannot begin to even understand what our chemical equation would look like for the reaction involved sodium propanoate with the propanoic acid solution. I found the forumla for sodium propanoate, Na(C2H5COO), so I have $$CH_3CH_2CO_2^+H_3O^+ +Na(C_2H_5COO) ⇔ ???$$
But I don't know how to complete this equation. How do these compounds interact? How can I write the equation for this interaction so I can start on this part of the problem? Please help, many thanks in advance for any assistance that can be provided.
For step 1, I determined that the equation that we're dealing with is:
$$CH_3CH_2CO_2H + H_2O ⇔ CH_3CH_2CO_2^ + H_3O^+$$
I've also determined that the molar mass of propanoic acid is about 74.08g/mol, and we therefore have 0.11543 mol of propanoic acid. So we have $$\frac{0.11543 mol}{1.45L} = 0.07961 M$$
For part (2) I first found Ka. We are given pKa as 4.87. pKa = log(Ka) so $$log(K_a)=4.87$$
$$log(K_a)=4.87$$
$$K_a=10^{4.87}$$
$$K_a=1.349*10^{5}$$
Based on the equation I determined in the previous step, we know that $$K_a=\frac{[CH_3CH_2CO_2^][H_3O^+]}{[CH_3CH_2CO_2H]}$$
Using an ICE table I determined that $$1.349*10^{5}=\frac{[x][x]}{[0.07961x]}$$.
When solved for x, this produces x=0.00103, which corresponds to the concentrations of H30+ and CH3CH2CO2. As pH is equal to log[H+], we get pH=log(0.00103), which gives pH=2.987.
For part 3, however, I am completely stumped. I cannot begin to even understand what our chemical equation would look like for the reaction involved sodium propanoate with the propanoic acid solution. I found the forumla for sodium propanoate, Na(C2H5COO), so I have $$CH_3CH_2CO_2^+H_3O^+ +Na(C_2H_5COO) ⇔ ???$$
But I don't know how to complete this equation. How do these compounds interact? How can I write the equation for this interaction so I can start on this part of the problem? Please help, many thanks in advance for any assistance that can be provided.