a)
At equivalence point, number of moles of HCl will be equal to number of moles of KOH
HCl + KOH ----------- KCl + H2O
volume of KOH (in mL) * molarity of KOH = volume of HCl (in mL) * molarity of HCl
45 * 0.09 = V * 0.11
V = 36.82 mL
b) Half mid point of titration
Volume of HCl used = 36.82/2 = 18.41 mL
Total volume = 45 + 18.41 = 63.41 mL
Number of moles of KOH left = 1/2 * 45/1000 * 0.09 = 0.002025 moles
Molarity of KOH = 0.002025/63.41 * 1000 = 0.0319 M
pOH = -log[OH-] = -log[0.0319] = 1.49
pH = 14 - pOH = 14 - 1.49 = 12.51
c) pH at equivalence point will be equal to 7 since the base will be completely neutralized by the acid
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