Final answer:
To calculate the number of moles of HCl needed to react with sodium carbonate, find the mole ratio from the balanced chemical equation, calculate the moles of sodium carbonate, and then use the molarity of the HCl solution to determine the required volume.
Step-by-step explanation:
Understanding the Mole Concept and Molarity
To find out how many moles of HCl are needed to react with sodium carbonate, one must first write a balanced chemical equation for the reaction. The general form of this reaction is:
Na2CO3 (aq) + 2 HCl (aq) -> 2 NaCl (aq) + CO2 (g) + H2O (l)
This indicates that two moles of HCl are required for every mole of Na2CO3. The number of moles of Na2CO3 is determined by the mass given and its molar mass. Then you multiply the number of moles of Na2CO3 by 2 to find the moles of HCl required.
Once the number of moles of HCl needed is calculated, we can use the molarity (M) of HCl to find out the volume necessary to provide those moles:
Volume (L) = Moles of HCl / Molarity of HCl
This equation allows us to derive the volume in liters, which can be converted to milliliters by multiplying by 1000.