Questions: Which step of the titration curve uses the given calculations to determine the pH ?
After the equivalence point
At the half-equivalence point
At the equivalence point
Before any titrant is added
Transcript text: Which step of the titration curve uses the given calculations to determine the pH ?
After the equivalence point
At the half-equivalence point
At the equivalence point
Before any titrant is added
Solution
Solution Steps
Step 1: Analyze the given information
The given calculation states that $\mathrm{pOH} = \mathrm{pK_b}$ because $[B] = [\mathrm{HB}^+]$. This condition is met at the half-equivalence point of the titration of a weak base with a strong acid.
Step 2: Relate the condition to titration steps
At the half-equivalence point, half of the weak base has been neutralized by the strong acid, forming its conjugate acid. At this point, the concentrations of the weak base ($[B]$) and its conjugate acid ($[\mathrm{HB}^+]$) are equal.
Step 3: Determine the corresponding step
Since the given condition occurs at the half-equivalence point, the calculations are used to determine the pH at the half-equivalence point.
Final Answer
\\(\boxed{\text{At the half-equivalence point}}\\)