Final answer:
To react completely with 30.0 mL of 0.100 M Fe(NO3)3, you will need 22.5 mL of 0.200 M K2C2O4.
Step-by-step explanation:
To determine the volume of 0.200 M K2C2O4 required to react completely with 30.0 mL of 0.100 M Fe(NO3)3, we need to use the stoichiometry of the balanced chemical equation. The balanced equation shows that 2 moles of Fe(NO3)3 react with 3 moles of K2C2O4 to form 1 mole of Fe2(C2O4)3 and 6 moles of KNO3.
First, let's calculate the moles of Fe(NO3)3:
moles of Fe(NO3)3 = (0.100 M) * (0.030 L) = 0.003 mol
According to the stoichiometry of the equation, 2 moles of Fe(NO3)3 react with 3 moles of K2C2O4. So, the moles of K2C2O4 required would be:
moles of K2C2O4 = (0.003 mol Fe(NO3)3) * (3 mol K2C2O4 / 2 mol Fe(NO3)3) = 0.0045 mol
To calculate the required volume, we can use the molarity equation:
Molarity = moles / volume
0.200 M = 0.0045 mol / volume
Solving for volume:
volume = 0.0045 mol / 0.200 M = 0.0225 L = 22.5 mL
Therefore, 22.5 mL of 0.200 M K2C2O4 is required to react completely with 30.0 mL of 0.100 M Fe(NO3)3.