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The next 11 questions are related to the titration of 25.00 mL of a 0.0750 M...

The next 11 questions are related to the titration of 25.00 mL of a 0.0750 M acetic acid solution with 0.0750 M KOH. Assume that the temperature is 25 oC.
What is the initial pH of the analyte solution?
2.94
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What volume of KOH is required to reach the equivalence point of the titration?
25.00 mL
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How many mmol of acetate are present at the equivalence point? Report the analytical amount, not the equilibrium amount of acetate at the equivalence point.
1.875
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What is the total volume of the solution at the equivalence point?
50.00 mL
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What is the analytical concentration of acetate ions at the equivalence point?
3.750×10-2 M
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What is the pOH at the equivalence point?
5.33
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What is the pH at the equivalence point?
8.67
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What volume of KOH has been added at the half-equivalence point?
12.50 mL
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What is the pH at the half-equivalence point?
4.76
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What is the pH when 5.00 mL of the KOH solution have been added?

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What is the pH when 30.00 mL of the KOH solution have been added?

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Solutions

Expert Solution

What is the pH when 5.00 mL of the KOH solution have been added? pH = 4.16

What is the pH when 30.00 mL of the KOH solution have been added? pH = 11.83

Explanation

(a) concentration acetic acid = 0.0750 M

volume of acetic acid = 25.00 mL

moles of acetic acid = (concentration acetic acid) * (volume of acetic acid)

moles of acetic acid = (0.0750 M) * (25.00 mL)

moles of acetic acid = 1.875 mmol

moles KOH added = (concentration KOH) * (volume KOH)

moles KOH added = (0.0750 M) * (5.00 mL)

moles KOH added = 0.375 mmol

KOH is a very strong acid which will consume acetic acid in neutralization reaction

moles acetic acid left = (initial moles acetic acid) - (moles KOH added)

moles acetic acid left = (1.875 mmol) - (0.375 mmol)

moles acetic acid left = 1.500 mmol

moles conjugate base formed = moles KOH added

moles conjugate base formed = 0.375 mmol

According to Henderson - Hasselbalch equation,

pH = pKa + log([conjugate base] / [weak acid])

pH = pKa + log(moles conjugate base formed / moles acetic acid left)

pH = 4.76 + log(0.375 mmol / 1.500 mmol)

pH = 4.16


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