To determine the number of moles of base (KOH) needed to reach the equivalence point when titrating 15.00 mL of [tex]\( H_2SO_4 \)[/tex] with 0.09886 M KOH and a volume of 29.25 mL of KOH, follow these steps:
1. Convert the volume of KOH from milliliters to liters:
[tex]\[
\text{Volume of KOH} = 29.25 \, \text{mL} = \frac{29.25}{1000} \, \text{L} = 0.02925 \, \text{L}
\][/tex]
2. Calculate the moles of KOH:
To find the number of moles, use the formula:
[tex]\[
\text{Moles of KOH} = \text{Volume of KOH (L)} \times \text{Concentration of KOH (M)}
\][/tex]
Substituting the given values:
[tex]\[
\text{Moles of KOH} = 0.02925 \, \text{L} \times 0.09886 \, \text{M}
\][/tex]
[tex]\[
\text{Moles of KOH} = 0.002891655
\][/tex]
3. Round the moles of KOH to five significant figures:
[tex]\[
\text{Moles of KOH (rounded)} = 0.002891655 \approx 0.00289 \, (\text{to five significant figures})
\][/tex]
Thus, the number of moles of KOH required to reach the equivalence point is:
[tex]\[
0.00289 \, \text{moles}
\][/tex]
