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Calculate the pH for each of the following cases in the titration of 25.0 mL of

ID: 1033947 • Letter: C

Question

Calculate the pH for each of the following cases in the titration of 25.0 mL of 0.100 M pyridine, CsHsN(aq) with 0.100 M HBr(aq): Number (a) before addition of any HBr 9.115 Number (b) after addition of 12.5 mL of HBr 5.23 th equal concentrations of monoprotic titrant and analyte, the equivalence point would occur when the added volumes are equal (25.0 mL of HBr added) Number (c) after addition of 24.0 mL of HBr 4.65 So at point(c), we are 24.0/50.0 96.0% of the way to the equivalence point. If ga0% of the base has reacted, then 4.0% remains, and 96.0% of the conjugate base has been formed so CsHsNH VICsH&NH;)-96.0/4.0 (d) after addition of 25.0 mL of HBr 3.28 Number Find the pOH using the Henderson-Hasselbalch equation and convert to pH for the final answer. (e) after addition of 36.0 mL of HBr 1.744 CH NH CSH,N pOH-pK,+ log

Explanation / Answer


Before any addition of HBr,

pOH = 1/2(pKb - log C)

pOH = 1/2(8.77 - log(25*0.1/1000))

pOH = 5.686

pH = 14 - 5.686 = 8.314

After addition of 12.5 mL of HBr,

pOH = pKb + log([C5H5NH+]/[C5H5N])

pOH = 8.77 + log((0.1*12.5)/((0.1*25)-(0.1*12.5)))

pOH = 8.77

pH = 14 - 8.77 = 5.23

After addition of 24 mL of HBr,

pOH = 8.77 + log((0.1*24)/(0.1*25-0.1*24))

pOH = 8.77 + 1.38 = 10.45

pH = 14 - 10.45 = 3.55

After addition of 25 mL of HBr,

number of moles of HBr = number of moles of C5H5N

pH = 7

After addition of 36 mL of HBr,

number of moles of HBr = 0.1 *36 = 3.6 mmol

number of moles of Pyridine = 0.1 * 25 = 2.5 mmol

number of moles of HBr remaining = 3.6 - 2.5 = 1.1 mmol

pH = -log(1.1*10^-3/(36+25)*1000)

pH = -log(0.01803)

pH = 1.744