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May 26, 2016
Posted by **Anonymous** on Tuesday, October 6, 2009 at 8:06pm.

- Chemistry -
**DrBob222**, Tuesday, October 6, 2009 at 9:06pmI can get you started. Let's call acetic acid HAc and the anion Ac.

pH = pKa + log (Ac/HAc)

You know pH = 5 and you know pKa, you can calculate (Ac)/(HAc). Do that first.

Then you know from the problem that

(HAc) + (Ac) = 0.1

That give you two equations and two unknowns. Solve for (HAc) and (Ac).

Next, you add 7.90 mL x 0.480 M H^+ or 3.79 millimoles acid. That will use up 3.79 millimoles Ac and form 3.79 millimoles of additional HAc. That will let you calculate a new (HAc) and a new (Ac). Plug those numbers into the HH equation and solve for the new pH.

Post your work if you get stuck. - Chemistry -
**Anonymous**, Tuesday, October 6, 2009 at 9:59pmWhen I plugged the pH and the pKa into the pH = pKa + log [Ac/HAc] I got [Ac/HAc] to be 0.575.

I then rearranged the equation of [Ac/HAc] = 0.575 and solved for Ac, which gave me the following equation: Ac = 0.575HAc.

I then plugged that equation into HAc + Ac = 0.1 and found that HAc = 0.06 and that Ac = 0.04.

Then I multiplied 7.90 x 0.480 and got 3.79 millimoles.

I then found the new value for HAc: 0.06 + 3.79x10^-6 = 0.06000379

I then found the new value for Ac: 0.04 - 3.79x10^-6 = 0.03999621

I then plugged those of those values into the HH equation as follows:

pH = 4.760 + log [0.03999621/0.06000379] = 4.58

Therefore the pH change would be: 5.00 - 4.58 = 0.42

The only problem is that it said my answer was wrong... - Chemistry -
**DrBob222**, Tuesday, October 6, 2009 at 10:46pmWhen I plugged the pH and the pKa into the pH = pKa + log [Ac/HAc] I got [Ac/HAc] to be 0.575.

**I don't get that.**

5.00 = 4.76 + log(B/A)

0.24 = log(B/A)

(B)/(A) = 1.7378 and

(B) = 1.7378*(A) which still gives values for (Ac) and (HAc) very close but reversed(see below).

I then rearranged the equation of [Ac/HAc] = 0.575 and solved for Ac, which gave me the following equation: Ac = 0.575HAc.

I then plugged that equation into HAc + Ac = 0.1 and found that HAc = 0.06 and that Ac = 0.04.**Using my value for (B/A), I came up with (HAc) = 0.0365 M and (Ac) = 0.0635 M**

Then I multiplied 7.90 x 0.480 and got 3.79 millimoles.

I then found the new value for HAc: 0.06 + 3.79x10^-6 = 0.06000379**This step isn't correct. What you must do is add moles (or millimoles), not molarity.**

mmoles HAc in the 150 mL buffer is 150 mL x 0.0365 M = 5.475 mmoles HAc.

mmoles Ac = 150 mL x 0.0635 M = 9.52 mmoles Ac.

Now add 3.79 mmoles to HAc and subtract 3.79 mmoles from Ac and recalculate pH and the difference.

I then found the new value for Ac: 0.04 - 3.79x10^-6 = 0.03999621

I then plugged those of those values into the HH equation as follows:

pH = 4.760 + log [0.03999621/0.06000379] = 4.58

Therefore the pH change would be: 5.00 - 4.58 = 0.42**If I didn't make an error, and you should check it closely to confirm that I did not, I found**

pH = 4.76 + log(5.73/9.265)

pH = 4.55 which isn't all that far away from your final value. You should realize, also, that I plugged in millimoles for base and acid and not concentration. That is, I didn't go through th extra step of dividing base and acid millimoles by 150 mL to obtain molarity BECAUSE both numerator and denominator would be divided by 150 mL so that plus the conversion from millimoles to moles cancel. I just saved a little work, that's all. - Chemistry -
**Anonymous**, Tuesday, October 6, 2009 at 11:28pmI also got the new pH to be 4.55. Thank you so much. This helps out a lot.

- Chemistry -
**DrBob222**, Tuesday, October 6, 2009 at 11:33pmI trust that's the correct answer.