289 mL Ba(OH)2
Step 1. Write the chemical equation
2Fe(NO3)3 + 3Ba(OH)2 → 2Fe(OH)3 + 3Ba(NO3)2
Step 2. Calculate the moles of Fe(NO3)3
Moles of Fe(NO3)3
= 165 mL Fe(NO3)3 × (0.663 mmol Fe(NO3)3/1 mL Fe(NO3)3) = 109.4 mmol Fe(NO3)3
Step 3. Calculate the moles of Ba(OH)2
Moles of (BaOH)2
= 109.4 mmol Fe(NO3)3× [3 mmol Ba(OH)2]/[2 mmol Fe(NO3)3]
= 164.1 mmol Ba(OH)2
Step 4. Calculate the volume of Ba(OH)2
Volume of Ba(OH)2 = 164.1 mmol Ba(OH)2 ×[ 1 mL Ba(OH)2]/[0.568 mmol Ba(OH)2] = 289 mL Ba(OH)2