Final answer:
To obtain 0.0200 moles of iron(III) nitrate, you would need 9.78 g of a 0.583 molar solution of iron(III) nitrate. To obtain 0.0500 moles of Fe³+ ions, you would need 7.03 g of the solution. To obtain 0.00300 moles of nitrate ions, you would need 0.94 g of the solution.
Step-by-step explanation:
To calculate the mass of a 0.583 molar solution of iron(III) nitrate needed to obtain:
a) 0.0200 moles of iron(III) nitrate:
We can use the formula: Molarity = Moles of solute / Volume of solution in liters
0.583 M = 0.0200 mol / Volume
Volume = 0.0200 mol / 0.583 M = 0.0343 L
The mass of the solution can be calculated using the formula: Mass = Molarity * Volume * Molar mass
Mass = 0.583 M * 0.0343 L * 241.9 g/mol
Mass = 9.78 g
b) 0.0500 moles of Fe³+ ions:
Fe³+ ions are 1:1 with iron(III) nitrate, so we need 0.0500 moles of iron(III) nitrate.
Mass = Molarity * Volume * Molar mass = (0.583 M * 0.0500 mol) * 241.9 g/mol = 7.03 g
c) 0.00300 moles of nitrate ions:
Nitrate ions are 1:3 with iron(III) nitrate, so we need 0.00900 moles of iron(III) nitrate.
Mass = Molarity * Volume * Molar mass = (0.583 M * 0.00900 mol) * 241.9 g/mol = 0.94 g