Why is one a buffer solution but not the other?

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Solution A is a buffer because it maintains a 1:1 ratio of acetic acid (CH3COOH) to its conjugate base (sodium acetate, CH3COONa) after the reaction with sodium hydroxide (NaOH), allowing it to resist pH changes. In contrast, Solution B has a 2:1 ratio of acetic acid to sodium hydroxide, which does not produce an adequate amount of the conjugate base to function as a buffer. The stoichiometry of the reactions indicates that Solution A has sufficient concentrations of both the weak acid and its conjugate base, while Solution B does not. The discussion emphasizes the importance of understanding stoichiometry and the concept of limiting reagents in determining buffer capacity. Ultimately, the ability of a solution to act as a buffer is contingent on the correct proportions of acid and conjugate base present.
  • #31
A1s2s2p said:
but after using Ka and an ICE table

I told you to follow simple stoichiometry and assume reaction went to completion, not to attempt to calculate equilibrium.

(Besides, numbers you posted are definitely wrong.)
 
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  • #32
I said 'hang on', because I had to check something. I wasn't sure about what I did.
 
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  • #33
Whenever I try to find similar questions, I only get unrelated questions involving a weak acid and a (usually sodium) salt based off of the conjugate base of the acid.
 
  • #34
A1s2s2p said:
CH3COO-+H+↔CH3COOH

Yes that is the chemical equation for disassociation of ethanoic (acetic) acid.

Now what is the equation that relates the concentrations of those three things? This normally is what would be called for in section 2 of the first post.

Plus I'm sure you will find (if just the words themselves are not enough to tell you what it is) something about electroneutrality. So give that (in terms of concentrations of the ions that you have in these solutions.)
 
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  • #35
A1s2s2p said:
Whenever I try to find similar questions, I only get unrelated questions involving a weak acid and a (usually sodium) salt based off of the conjugate base of the acid.

Well actually you have exactly that here. It is not 'unrelated'. You could say that you have the weak acid certainly, and that by adding alkali to if you have made some salt. That's actually it can be confusing to think in these terms, I think the best way is to think of the concentrations of the species in the solution, some of which are ions.
 
  • #36
epenguin said:
Yes that is the chemical equation for disassociation of an acid.

Now what is the equation that relates the concentrations of those three things? This normally is what would be called for in section 2 of the first post.

Plus I'm sure you will find (if just the words themselves are not enough to tell you what it is) something about electroneutrality. So give that (in terms of concentrations of the ions that you have in these solutions.)
The only equation I know of that would work here would be ##K_a=\frac{[H^+]CH_{3}COO^-]}{[CH_{3}COOH]}## but doesn't count in ##[NaOH]##

Unless there is another word for electroneutrality, then I've probably never heard of it before. Maybe I have by definition but not by name.
 
  • #37
epenguin said:
Well actually you have exactly that here. It is not 'unrelated'. You could say that you have the weak acid certainly, and that by adding alkali to if you have made some salt. That's actually it can be confusing to think in these terms, I think the best way is to think of the concentrations of the species in the solution, some of which are ions.
One exanple I found was to find the pH of a buffer solution containg ##acm^3# of ##bmol## ##dm^{-3}} ethanoic acid with ##xcm^3# of ##ymol## ##dm^{-3}} sodium ethanoate. None involving an acid with a base, only acid with salt.
 
  • #38
A1s2s2p said:
None involving an acid with a base, only acid with salt.

Then you don't understand what is base in the buffer context. Buffer is a solution containing an acid and its conjugate base. What is conjugate base of the acetic acid?
 
  • #39
A1s2s2p said:
One exanple I found was to find the pH of a buffer solution containg ##acm^3# of ##bmol## ##dm^{-3}} ethanoic acid with ##xcm^3# of ##ymol## ##dm^{-3}} sodium ethanoate. None involving an acid with a base, only acid with salt.

I have explained that point in #35
 
  • #40
Borek said:
Then you don't understand what is base in the buffer context. Buffer is a solution containing an acid and its conjugate base. What is conjugate base of the acetic acid?
CH3COOH-
 
  • #41
epenguin said:
Well actually you have exactly that here. It is not 'unrelated'. You could say that you have the weak acid certainly, and that by adding alkali to if you have made some salt. That's actually it can be confusing to think in these terms, I think the best way is to think of the concentrations of the species in the solution, some of which are ions.
But how would ##[CH_{3}COONa]## be found using the reaction equation, and the volumes and concentrations of the acid and alkali used?
 
  • #42
So if conjugate base of acetic acid is

A1s2s2p said:
CH3COOH-

why do you state about question you have found:

A1s2s2p said:
None involving an acid with a base, only acid with salt.

What anion does the salt contain?
 
  • #43
A1s2s2p said:
But how would ##[CH_{3}COONa]## be found using the reaction equation, and the volumes and concentrations of the acid and alkali used?

Using simple stoichiometry, which is what I am asking you to do from the very beginning.

Have you calculated initial number of moles of acetic acid and NaOH for each solution?
 
  • #44
A1s2s2p said:
The only equation I know of that would work here would be ##K_a=\frac{[H^+]CH_{3}COO^-]}{[CH_{3}COOH]}## but doesn't count in ##[NaOH]##

Unless there is another word for electroneutrality, then I've probably never heard of it before. Maybe I have by definition but not by name.

A1s2s2p said:
CH3COOH-

A1s2s2p said:
But how would ##[CH_{3}COONa]## be found using the reaction equation, and the volumes and concentrations of the acid and alkali used?

Basically in solution there is no such thing as CH3COONa. NaOH is a strong base.
 
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  • #45
Borek said:
Using simple stoichiometry, which is what I am asking you to do from the very beginning.

Have you calculated initial number of moles of acetic acid and NaOH for each solution?
OK, using the reaction, there is 1 mooe of ethanoic acid with 1 mooenof sodium hydroxide.

Solution A:
2 moles of ethanoic acid with 1 mole of sodium hydroxide.

Solution B:
1 mole of ethanoic acid with 1 mole of sodium hydroxide.
 
  • #46
Borek said:
What anion does the salt contain?
OH-
 
  • #47
A1s2s2p said:
Solution A:
2 moles of ethanoic acid with 1 mole of sodium hydroxide.

Solution B:
1 mole of ethanoic acid with 1 mole of sodium hydroxide.

None of these is correct. To begin with: 50cm3 of 0.100mol dm-3 CH3COOH(aq) doesn't contain one mole of the acid.

A1s2s2p said:
OH-

No, that's an anion in the hydroxide, not an anion in the salt.
 
  • #48
Borek said:
No, that's an anion in the hydroxide, not an anion in the salt.
Sorry ^^; Got it mixed up somehow.

CH3COO-
 
  • #49
Borek said:
None of these is correct. To begin with: 50cm3 of 0.100mol dm-3 CH3COOH(aq) doesn't contain one mole of the acid

Sorry, got confused with the mole ratio, it has ##\frac 1 {200}## moles
 
  • #50
And my own posts are getting mixed up too because I have been several times interrupted where I am.

I don’t think we can make much progress by Socratic dialogue here as you have not sufficiently studied or grasped the basics.

I will give you first my answers to those questions, later maybe a summary of the subject you have to study

Look at a titration curve in your book and you will find that when the moles of added strong base are half those of the weak acid, which is what you have in case B, you are at an inflection point in the titration curve, the rate of increase of pH per mole of base is added is at a minimum. In other words you have the maximum buffering you can have for that concentration of the acid. The more concentrated the acid, the more NaOH you will have to add for any given change of pH. In other words the more concentrated the acid (in all its forms) the more it is buffered. Your solutions are quite concentrated, so in case B for these two reasons what you have is what would be called a good buffer, contrary to the statement of the original question. In case A the moles of base are different from a half of total acid, and it is less concentrated than B; it is still a buffer, but does not buffer so much as B.
 
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  • #51
A1s2s2p said:
Sorry, got confused with the mole ratio, it has ##\frac 1 {200}## moles

OK, now follow with the calculations I asked you to do several times earlier in the thread, repeating myself for nth time will be just waste of time.
 

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