Final answer:
The student used 0.00574 mol of NaOH to make their buffer when 58.19 ml of 0.09867 M NaOH solution was added to the acetic acid.
Step-by-step explanation:
To determine the moles of NaOH used to make the buffer solution, we first need to convert the volume of NaOH solution to liters and then use the molarity to find the moles:
Moles of NaOH = Volume (L) × Molarity (M)
For the given solution:
Moles of NaOH = 0.05819 L × 0.09867 M
After performing the multiplication, we find that the moles of NaOH used are:
0.05819 × 0.09867 = 0.00574 moles
This value is already to five decimal places and does not need to be expressed in scientific notation as per the instructions.