Calculating pH for Strong Acid-Base Titration

In summary, when no NaOH has been added, the pH is 1.7 x 10-5. After 25.0 ml of NaOH is added, the pH increases to 1.8 x 10-5. After 50.0 ml of NaOH is added, the pH increases to 2.5 x 10-3. After 75.0 ml of NaOH is added, the pH increases to 3.3 x 10-2. Finally, after 100.0 ml of NaOH is added, the pH increases to 7.0 x 10-2.
  • #1
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Homework Statement


The problem is as follows:
100.0 ml of 0.100 M acetic acid is placed in a flask and is titrated with 0.100 M sodium hydroxide . An appropriate indicator is used. Ka for acetic acid is 1.7 x 10 -5. Calculate the pH in the flask at the following points in the titration.
a. when no NaOH has been added.
b. after 25.0 ml of NaOH is added
c. after 50.0 ml of NaOH is added
d. after 75.0 ml of NaOH is added
e. after 100.0 ml of NaOH is added

Homework Equations


According to my text:
(Liters of acetic acid solution)X(mol H+/1Liter of solution)=mol H+
(Liters of sodium hydroxide solution)X(mol OH-/1Liter of solution)=mol OH-
(Liters of acetic acid)+(Liters of hydroxide solution)=total Liters
Concentration of H+=(moles H+/total Liters)
pH=-log(concentration of H+ *above*)

The Attempt at a Solution


What I have so far is this, but my pH answers are nowhere near what they should be. What am I missing?
"100.0 ml of 0.100 M acetic acid is placed in a flask and is titrated with 0.100 M sodium hydroxide . An appropriate indicator is used. Ka for acetic acid is 1.7 x 10 -5Calculate the pH in the flask at the following points in the titration."
(0.1L soln)(0.100M H+/1L soln)=1.000 X 10-2
a. "when no NaOH has been added" pH=-log(0.100)=1.000
b. "after 25.0 ml of NaOH is added" (0.025 L soln)(0.100M OH-/1L soln)=2.5 X 10-3 mol OH-
100.0mL+25.0mL=125.0mL=0.125L [H+]=(7.5x10-3)/(0.125L)=6.000X10-2M pH=-log(6.000X10-2M)=1.222

c. "after 50.0 ml of NaOH is added" (0.050L soln)(0.100M H+/1L soln)=5.000 X 10-3 mol OH-
100.0mL+50.0mL=150.0mL=0.150mL [H+]=(5.000 X 10-3)/(0.150L)=3.333 X 10-2 pH=-log(3.333 X 10-2)=1.477

d. "after 75.0 ml of NaOH is added" (0.075 L soln)(0.100M H+/1L soln)=7.5X10-3 mol OH-
100.0mL+75.0mL=175.0mL=0.175L [H+]=(2.5 X 10-3)/(0.175L)=1.429X10-2 pH=-log(1.429X10-2)=1.845

e. "after 100.0 ml of NaOH is added" (0.1L soln)(0.100M H+/1L soln)=1.000 X 10-2 mol OH-
100.0mL+100.0mL=200.0mL=0.200L [H+]=pH=7.0


This is a table similar to that which is shown in my text, where I have filled in my answers.
H+(aq) + OH-(aq) --> H2O(l)
Before addition 1.000 X 10-2 0 ---------
Addition 25.0 ml 2.5 X 10-3
Addition 50.0 ml 5.000 X 10-3
Addition 75.0 ml 7.5X10-3
Addition100.0 ml 1.000 X 10-2
After Adn25.0 ml 7.5x10-3 0 --------
After Adn 50.0 ml 5.000 X 10-3 0 --------
After Adn 75.0 ml 2.5 X 10-3 0 --------
After And 100.0 ml 0 0 ---------
 
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  • #2
One general problem - acetic acid is not a strong acid.

Second general problem - when you add base to the solution it reacts with the acid.

See acid-base titration curve calculation for details, scroll down the page - the most important information you is in the third paragraph from the end.

--
 

1. What is the purpose of calculating pH for strong acid-base titration?

The purpose of calculating pH for strong acid-base titration is to determine the concentration of an acid or base solution by measuring the amount of acid or base needed to neutralize it.

2. How do you calculate pH for strong acid-base titration?

To calculate pH for strong acid-base titration, you need to know the initial concentration and volume of the acid or base solution, as well as the volume of the titrant added. Using the balanced chemical equation and the stoichiometry of the reaction, you can determine the number of moles of acid or base present at each point in the titration. Then, using the Henderson-Hasselbalch equation, you can calculate the pH.

3. What is the Henderson-Hasselbalch equation used for?

The Henderson-Hasselbalch equation is used to calculate the pH of a solution based on the ratio of its conjugate acid and base concentrations. It is commonly used in acid-base titrations to determine the pH of the solution at each point in the titration.

4. How does the pH change during a strong acid-base titration?

During a strong acid-base titration, the pH initially decreases as the strong acid is added to the base, until it reaches the equivalence point where the solution is neutral. After the equivalence point, the pH increases as the excess base is added to the solution.

5. What is the equivalence point in a strong acid-base titration?

The equivalence point in a strong acid-base titration is the point at which the moles of acid and base are present in equal amounts, resulting in a neutral solution. At this point, all of the acid and base have been consumed in the reaction and the pH is at its lowest or highest value, depending on the type of titration.

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