a. Balanced chemical equation:
Na2CO3 + 2HCl -> 2NaCl + H2O + CO2
b. Calculation of the molarity of pure Na2CO3:
Moles of HCl used = 0.105 mol/L x 21.0/1000 L = 0.002205 mol
From the balanced chemical equation, 1 mole of Na2CO3 reacts with 2 moles of HCl.
Therefore, moles of Na2CO3 = 0.002205 mol / 2 = 0.0011025 mol
Volume of solution = 250 cm3 = 0.25 L
Molarity of pure Na2CO3 = 0.0011025 mol / 0.25 L = 0.00441 mol/L
c. Calculation of concentration of pure Na2CO3:
Molar mass of Na2CO3 = 105.99 g/mol
Mass of Na2CO3 in 3g of impure sample = 3g
Therefore, moles of impure Na2CO3 = 3g / 105.99 g/mol = 0.0283 mol
From the balanced chemical equation, 1 mole of Na2CO3 reacts with 2 moles of HCl.
Therefore, moles of pure Na2CO3 = 0.0283 mol / 2 = 0.01415 mol
Volume of solution = 250 cm3 = 0.25 L
Concentration of pure Na2CO3 = 0.01415 mol / 0.25 L = 0.0566 mol/L
Therefore, the molarity of pure Na2CO3 is 0.00441 mol/L and the concentration of pure Na2CO3 is 0.0566 mol/L.