Part A Express your answer using two decimal places 285 Subm
Part A
Express your answer using two decimal places.
2.85
Correct
Part B
the volume of added base required to reach the equivalence point
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Part C
Express your answer using two decimal places.
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Part D
Express your answer using two decimal places.
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Part E
Express your answer using two decimal places.
Part F
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Part F
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| Consider the titration of a 25.0 |
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Solution
THIS SOLVED WILL BE HELPFUL FOR YOU Ka of acetic acid = 1.74*10^-5 = [H+][OAc-]/[HOAc] HOAc = H+ + OAc- If x moles dissociate: 0.11 - x = x + x [H+][OAc-]/[HOAc] = x*x/(0.11-x) = 1.74*10^-5 Assume x <<< 0.11, then 0.11-x ~ 0.11 x^2 = 0.11*1.74*10^-5 x = [H+] = 1.38*10^-3 pH = 2.86 Check assumption: Is 0.00138 << 0.11 Yes --------------------------- After 5 ml of added base Moles base added = 0.13*0.005 = 0.00065 This equals moles of acid reacted Moles acid before reaction = 0.025*0.11 = 0.00275 Moles acid remaining = 0.00275 - 0.00065 = 0.0021 Volume = 25 + 5 = 30mL = 0.03L Concentration acid remaining = 0.0021/0.03 = 0.07M If x moles dissociate: 0.07 - x = x + x [H+][OAc-]/[HOAc] = x*x/(0.07-x) = 1.74*10^-5 Assume x <<< 0.07, then 0.07-x ~ 0.07 x^2 = 0.07*1.74*10^-5 x = [H+] = 6.343*10^-4 pH = 3.20 Check assumption: Is 0.00063 << 0.07 Yes --------------- At one-half the equivalence point we have a buffer solution with equal concentrations of acid and salt. pH = pKa = 4.76 ----------------- At equivalence point we have a solution of sodium acetate. Volume NaOH required = 0.11*25/0.13 = 21.15mL Total volume = 46.15 mL Moles sodium acetate = initial moles acid = 0.00275 concentration = 0.00275/0.04615 = 0.0596 M The acetate ion will reassociate with water to form OH- OAc- + H2O = HOAc + OH- Let x moles react: 0.0596 - x = x + x Kb = Kw/Ka = 10^-14/1.74*10^-5 = 5.75*10^-10 [HOAc][OH-]/[OAc-] = 5.75*10^-10 Let [HOAc] = [OH-] = x x*x/(0.0596 - x) = 5.75*10^-10 Assume x <<< 0.0596 then (0.0596 - x) ~ 0.0596 x^2 = 0.0596*5.75*10^-10 x = 5.854*10^-6 = [OH-] Check assumption: Is 5.854*10^-6 <<< 0.0596 ? Yes pOH = 6.23 pH = 14 - 6.23 = 7.67
