Final answer:
To calculate the molarity of the NaOH solution, determine the moles of oxalic acid used, which informs us of the moles of NaOH since they react in a 2:1 ratio. Then, use the volume of NaOH solution to find its molarity, which is calculated to be 0.2089 M.
Step-by-step explanation:
To find the molarity of the NaOH solution, we must first calculate the moles of oxalic acid dihydrate used.
Using the provided molar mass of oxalic acid dihydrate (126.07 g/mol), the moles of oxalic acid dihydrate can be calculated as follows:
Moles of oxalic acid dihydrate = Mass / Molar mass
= 0.256 g / 126.07 g/mol
= 0.002031 moles of oxalic acid dihydrate
The balanced chemical equation H2C2O4 (aq) + 2 NaOH (aq) → Na2C2O4 (aq) + 2 H2O (l) indicates that 2 moles of NaOH react with 1 mole of oxalic acid dihydrate.
Therefore, the moles of NaOH required are twice the moles of oxalic acid dihydrate:
Moles of NaOH = 2 * Moles of oxalic acid dihydrate
= 2 * 0.002031 moles
= 0.004062 moles of NaOH
Finally, the molarity of the NaOH can be calculated using the volume of NaOH solution:
Molarity (M) = Moles / Volume in liters
= 0.004062 moles / 0.01945 L
= 0.2089 M NaOH