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Multiple Choice
Consider the titration of 26.00 mL of 0.400 M formic acid with 0.380 M NaOH. Calculate the pH of the solution at the half-equivalence point.
A
3.75
B
4.25
C
2.50
D
5.00
Verified step by step guidance
1
Identify the concept of the half-equivalence point in a titration. At this point, half of the acid has been neutralized by the base, and the concentration of the acid is equal to the concentration of its conjugate base.
Recognize that formic acid (HCOOH) is a weak acid, and its dissociation in water can be represented by the equation: .
At the half-equivalence point, the pH of the solution is equal to the pKa of the acid. Use the formula: . Look up the pKa value for formic acid, which is approximately 3.75.
Calculate the moles of formic acid initially present using the formula: . Substitute the given values: .
Understand that at the half-equivalence point, the amount of NaOH added is half the initial moles of formic acid. This means the concentrations of formic acid and its conjugate base are equal, confirming that the pH is equal to the pKa.