The volume of sodium fluoride solution is double that of the calcium chloride solution due to their molar ratios in a chemical reaction. When sodium fluoride (NaF) reacts with calcium chloride (CaCl2), a double displacement reaction occurs where the sodium ion (Na+) from NaF switches places with the calcium ion (Ca2+) from CaCl2. The balanced chemical equation for this reaction is:
2NaF + CaCl2 -> 2NaCl + CaF2
In this reaction, 2 moles of NaF react with 1 mole of CaCl2 to produce 2 moles of NaCl and 1 mole of CaF2. Since the molar ratio of NaF to CaCl2 is 2:1, the volume of the sodium fluoride solution needs to be double that of the calcium chloride solution to ensure the proper stoichiometry and complete reaction.
Therefore, to achieve a complete reaction and ensure that all the reactants are used up, the volume of the sodium fluoride solution must be double that of the calcium chloride solution based on the stoichiometry of the reaction equation.