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1) What is the pH at the equivalence point in the titration of a 24.7 mL sample

ID: 1032619 • Letter: 1

Question

1) What is the pH at the equivalence point in the titration of a 24.7 mL sample of a 0.332 M aqueous acetic acid solution with a 0.470 M aqueous potassium hydroxide solution? pH =

2) A 42.5 mL sample of a 0.568 M aqueous hypochlorous acid solution is titrated with a 0.399 M aqueous barium hydroxide solution. What is the pH after 21.0 mL of base have been added? pH =

3) When a 18.9 mL sample of a 0.365 M aqueous hydrocyanic acid solution is titrated with a 0.328 M aqueous sodium hydroxide solution, what is the pH after 31.5 mL of sodium hydroxide have been added? pH

Explanation / Answer

1)

acetic acid= 24.7 ml of 0.332 M

number of moles of acetic acid= 0.332Mx0.0247L= 0.0082 moles

KOH= 0.470M

at equivalent point volume of KOH = 0.332x24.7/0.470 = 17.45 ml

Total volume of the solution = 24.7 + 17.45 = 42.15 ml = 0.04215L

at equivalent point

PH= 7 + 1/2[PKa + logC]

Pka of acetic aci= 4.75

C= number of moles /total volume= 0.0082/0.04215 = 0.1945 M

PH= 7 + 1/2[4.75 + log(0.1945)]

PH= 9.02

2)

HCl = 42.5 ml of 0.568M

number of moles of HCl= 0.568M x0.0425L= 0.02414 moles

Ba(OH)2 = 0.399M of 21.0 ml

number of moles of Ba(OH)2 = 0.399Mx0.021L=0.008379 moles

number o fmoles of OH- = 2x0.008379 =0.01676 moles

number of moles of HCl is greater than the Ba(OH)2

remaining number of moles of acid = 0.02414 - 0.01676= 0.00738 moles

number of moles of H+ = 0.00738 moles

total volume = 42.5 + 21.0 = 63.5 mL = 0.0635L

[H+]= number of moles /total volume = 0.00738/0.0635 =0.1162

[H+} = 0.1162M

-log(H+) = -log(0.1162)

PH= 0.935M.

3)

HCN= 18.9 ml of 0.365M

number of moles of HCN= 0.365Mx0.0189L=0.006899 moles

NaOH= 31.5 ml of 0.328M

number of moles of NaOH= 0.328Mx0.0315L=0.01033 moles

number o fmoles of Base is greater thanthe HCN. so the buffer solution is not possible

remaining numberr of moles of NaOH= 0.01033 - 0.006899 = 0.003431moles

number of moles of OH- = 0.003431 moles

total volume = 18.9 + 31.5 = 50.4 ml = 0.0504L

[OH-] = 0.003431/0.0504 = 0.0681 M

-log[OH-] = -log0.0681)

POH= 1.167

PH + POH= 14

PH= 14 - POH

PH= 14- 1.167

PH= 12.83.