Final answer:
To react completely with 0.250 L of 0.500 M Na2CO3, 111 mL of 2.25 M HCl is needed, based on the stoichiometry of the balanced chemical equation.
Step-by-step explanation:
To calculate the volume of 2.25 M HCl needed to react with 0.250 L of 0.500 M Na2CO3, we must first determine the number of moles of Na2CO3 that will be reacting. The balanced chemical equation for the reaction between HCl and Na2CO3 is:
2 HCl(aq) + Na2CO3(aq) → 2 NaCl(aq) + CO2(g) + H2O(l)
From the balanced equation, we can see that it takes 2 moles of HCl to react with 1 mole of Na2CO3. Therefore, we need to calculate the moles of Na2CO3 first:
Moles of Na2CO3 = Molarity × Volume = 0.500 mol/L × 0.250 L = 0.125 moles
Now, to get the moles of HCl needed:
Moles of HCl needed = 0.125 moles Na2CO3 × (2 moles HCl/1 mole Na2CO3) = 0.250 moles
Finally, to find the volume of HCl needed:
Volume of HCl = Moles of HCl / Molarity of HCl = 0.250 moles / 2.25 mol/L
= 0.111 L or 111 mL
Therefore, to completely react with 0.250 L of 0.500 M Na2CO3, you would need 111 mL of 2.25 M HCl.