Answer:
Molarity = 3.33 L
Step-by-step explanation:
The balanced chemical equation for the reaction is:
Na2CO3 + 2AlCl3 → 2NaCl + Al2(CO3)3
To determine the volume of 1.8 M Na2CO3 needed, we need to use the stoichiometry of the reaction and the formula:
Molarity (M) = moles of solute / liters of solution
First, let's find the moles of AlCl3 in 10.0 L of 0.30 M solution:
moles AlCl3 = Molarity x Volume = 0.30 mol/L x 10.0 L = 3.0 mol
From the balanced equation, we can see that 1 mole of Na2CO3 reacts with 2 moles of AlCl3. Therefore, we need:
moles Na2CO3 = (2/1) x moles AlCl3 = 2 x 3.0 mol = 6.0 mol
Now we can use the formula for molarity to find the volume of 1.8 M Na2CO3 needed:
Molarity = moles of solute / liters of solution
1.8 mol/L = 6.0 mol / liters of Na2CO3
Solving for liters of Na2CO3:
liters of Na2CO3 = moles of solute / Molarity = 6.0 mol / 1.8 mol/L = 3.33 L
Therefore, we need 3.33 L of 1.8 M Na2CO3 to react with 10.0 L of 0.30 M AlCl3.