Asked by phil
how many mL of .100 M of acetic acid and .100 M of NaOH, would be need to make the volume 1.0 liters and have a pH7.00 if Ka=1.8x10^-5
please write out the steps or eq for me im gettin stuck
please write out the steps or eq for me im gettin stuck
Answers
Answered by
DrBob222
This is not a good question because the pH of 7.00 is too far from the pKa value to work well as a buffer. However, here is the problem.
pH = pKa + log (base)/(acid)
7.00 = 4.74 + log (B/A)
Solve for (base/(acid). I obtained 181.97 but you need to confirm that. Here base is referring to acetate ion (not NaOH) and acid is referring to acetic acid. I call those HAc for acetic acid and Ac^- for acetate (the base).
Then you set up another equation.
moles base = 181.97*moles acid
For moles base substitute mLbase x 0.1 M. On the right side, substitute for moles acid (1000 - mLbase)*0.1 M
Solve for mLbase
I get something like 994.53 for base and 1000-994.53 = 5.47 mL acid. You need to confirm both numbers AND you may need to carry out to more places that you are allowed under significant figure rules BECAUSE it is such a large number for one and a small number for the other one.
What this means is that you need to add that many mL of 0.1 M NaOH to produce that much Ac^- and since it is neutralizing HAc, the HAc is being used up at the same time. To check if this is correct,
(Ac^-) formed = 994.53 mL x 0.1M/1000 mL = 0.099453 M.
(HAc) remaining = 5.465 mL x 0.1 M/1000 = 0.0005465
pH = 4.74 + log (0.099453/0.0005465) =
pH = 4.74 + 2.26 = 7.00. I reiterate this is a poor problem AND that I have used more significant figures than allowed. With such a disparity in numbers, that is necessary to make the numbers come out right.
pH = pKa + log (base)/(acid)
7.00 = 4.74 + log (B/A)
Solve for (base/(acid). I obtained 181.97 but you need to confirm that. Here base is referring to acetate ion (not NaOH) and acid is referring to acetic acid. I call those HAc for acetic acid and Ac^- for acetate (the base).
Then you set up another equation.
moles base = 181.97*moles acid
For moles base substitute mLbase x 0.1 M. On the right side, substitute for moles acid (1000 - mLbase)*0.1 M
Solve for mLbase
I get something like 994.53 for base and 1000-994.53 = 5.47 mL acid. You need to confirm both numbers AND you may need to carry out to more places that you are allowed under significant figure rules BECAUSE it is such a large number for one and a small number for the other one.
What this means is that you need to add that many mL of 0.1 M NaOH to produce that much Ac^- and since it is neutralizing HAc, the HAc is being used up at the same time. To check if this is correct,
(Ac^-) formed = 994.53 mL x 0.1M/1000 mL = 0.099453 M.
(HAc) remaining = 5.465 mL x 0.1 M/1000 = 0.0005465
pH = 4.74 + log (0.099453/0.0005465) =
pH = 4.74 + 2.26 = 7.00. I reiterate this is a poor problem AND that I have used more significant figures than allowed. With such a disparity in numbers, that is necessary to make the numbers come out right.
Answered by
phil
I don't think this would be correct because The solution you are proposing would have a pH over 12.
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