# Equilbrium questions (chem)

#### Lchan1

1. The problem statement, all variables and given/known data
What percentage of the original Ag+ remains in solution when 175 mL of 0.0208 M AgNO3 is added to 250 mL 0.0380 M K2CrO4?

2. Relevant equations

3. The attempt at a solution

I found the initial amont of CrO4 and Ag and put that into the equilbrium expression of AgCrO4(s). I let the reation complete and used Ksp for the back reation to find the ions in solution. but i couldnt get the right answer.

Question 2:

If 100.0 mL of a clear saturated solution of Ag2SO4 is added to 266 mL of a clear saturated solution of PbCrO4 how much precipitate in mg will form?
For this problem, ignore the back reaction since it will have an insignificant effect on the amount of precipitate that forms.

The molecular weight of PbSO4 is 303.26 g/mol and the molecular weight of Ag2CrO4 is 331.73 g/mol. Give your answer to three significant figures.

Attempt to the question
So I tried finding the concentration in PbSO4 and Ag2CrO4 using Ksp expression. and used to concentration to find moles. used moles and molar weight given to find the weight. and I added the two up. And again I got an incorrect answer.

#### Borek

Mentor
Not sure what you mean by back reaction.

1. One of the ions is in excess. While this is not titration, calculations will be similar to those outlined at precipitation titration curve calculation - after equivalence point.

2. Have you remembered this is a twice limiting reagent question? Then you start with saturated solutions and you end with saturated solutions. Could be whatever is left in the solution can be ignored, hard to tell without looking at Kso values.

And don't forget about dilutions.

#### Charlie_Brown

no, this is not an after equivalance point type question. Tell me how this question goes Lchan

#### Lchan1

no, this is not an after equivalance point type question. Tell me how this question goes Lchan
so I did the first question right.. turns out it was just so calculation errors.
I attempted the second question again and got a different answer but it was incorrect again.

so What i did was using Ksp and Ag2SO4 -> 2Ag+ and SO4 2-
and found that there are way more Ag and SO4 ions so Pb and CrO4 ions are the limited reagent for both Ag2CrO4 and PbSO4 solid.
used the concentration of Pb and CrO4 multiply by the total volume and got the number of moles.
Got two masses and added them up. but i couldnt get the right answer.

another question:
What is the pK value for the following equilibria involving the neutralization of piperidine (C5H11N) with acid? (The Kb of piperidine is Kb = 1.3 x 10-3)
C5H11N + H3O+ <----> C5H11NH+ + H2O

I got 11.11
so H30+ presents in the equation i will need Ka.
used -logKa and got an wrong answer.
I googled the answer up and it was 11.12. I wont know the answer until i get it wrong and I am sick of trying different numbers.

also with
Calculate the H3O+ concentration at the equivalence point if the initial amount of 0.294 M NH3 was 55 mmol, and the final total volume after the titration is 99.0 mL.

So I found how much NH3 was added used the concentration and the 55mmol. Subtract the 99.0mL and get the volume of H3O+ added.
since the equation is 1 to 1. I just went 55mmol divided by the volume i got. And again the answer was incorrect.

#### Charlie_Brown

i'll look at one problem first.. what do you mean by the "pk" ? There is pKa, and pKb.. can you tell me what you did, because from the "pk" I got 2.89, WHICH when you minus it from 14 (14-2.89) = 11.11, I can confirm that by solving for pKa and finding out the hydronium concencetration that the pH would be 11.1

#### Charlie_Brown

also with
Calculate the H3O+ concentration at the equivalence point if the initial amount of 0.294 M NH3 was 55 mmol, and the final total volume after the titration is 99.0 mL.

So I found how much NH3 was added used the concentration and the 55mmol. Subtract the 99.0mL and get the volume of H3O+ added.
since the equation is 1 to 1. I just went 55mmol divided by the volume i got. And again the answer was incorrect.
Is there more info to this question?

#### Borek

Mentor
no, this is not an after equivalance point type question.
Yes it is. Imagine you are titrating AgNO3 with K2CrO4. Imagine you started with 175 mL of 0.0208 M AgNO3, and you have added 250 mL of 0.0380 M titrant solution. Do you see the similarity now?

Sure, question doesn't mention titration nor equivalence point, but method of calculation of the Ag+ is identical to the one described at linked page.

what do you mean by the "pk" ? There is pKa, and pKb.
pK is just -log(K), where K is equilbrium constant for the reaction. It doesn't have to be acid or base dissociation, any reaction will do.

Last edited:

#### Lchan1

What is the pK value for the following equilibria involving the neutralization of piperidine (C5H11N) with acid? (The Kb of piperidine is Kb = 1.3 x 10-3)
C5H11N + H3O+ <----> C5H11NH+ + H2O
ok I tried 2.89 and 11.11
and they were both wrong for some reason
I used Kb to find Ka. and find the concentration of H3O+

#### Borek

Mentor

Both values are wrong.

Think about it - pyridine is a weak base, so its protonation reaction will be shifted to product side. That means equilibrium constant higher then 1. What should be the sign of pK for K > 1?

#### Lchan1

ok.
so I did Ka=Kw/Kb
Ka = 7.69E-12 = C5H11NH+/[H3O] and [C5H11N]
Ka = [H3O]
K= [C5H11NH+]/H3O and C5H11N
-log k = 11.11

#### Borek

Mentor
Ka = 7.69E-12 = C5H11NH+/[H3O] and [C5H11N]
[C5H11NH+]/([H3O+][C5H11N]) is not Ka.

#### Lchan1

Ka = ([H3O+][C5H11N])/[C5H11NH+]?

#### Charlie_Brown

Ka = ([H3O+][C5H11N])/[C5H11NH+]?
yup! you are correct. Remember: Ka=[H30+][A-]/[HA]

Best,
CB

#### Borek

Mentor
you start with saturated solutions and you end with saturated solutions. Could be whatever is left in the solution can be ignored, hard to tell without looking at Kso values.
As someone else pointed out, could be nothing happens at all. That will came out automatically during Kso calculations.

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