To determine the concentration of the sodium carbonate solution, we need to perform a titration using the hydrochloric acid solution. The balanced chemical equation for the reaction between sodium carbonate (Na2CO3) and hydrochloric acid (HCl) is as follows:
Na2CO3 + 2HCl -> 2NaCl + H2O + CO2
From the equation, we can see that one mole of sodium carbonate reacts with two moles of hydrochloric acid to produce two moles of sodium chloride, one mole of water, and one mole of carbon dioxide.
Given: Volume of hydrochloric acid solution (HCl) = 0.100 mol Volume of hydrochloric acid solution added from the burette = x cm³
From the balanced equation, we can deduce the stoichiometry of the reaction: 1 mole of Na2CO3 reacts with 2 moles of HCl.
Since the concentration of the hydrochloric acid solution is 0.100 mol, we can write:
0.100 mol HCl = (x cm³ HCl / 1000 cm³) * (Concentration of Na2CO3 / 1000 mol)
We can rearrange the equation to solve for the concentration of Na2CO3:
Concentration of Na2CO3 = (0.100 mol HCl * 1000 cm³) / (x cm³ HCl)
Substituting the given value of x (in cm³) into the equation will give you the concentration of the sodium carbonate solution. Please provide the value of x, and I will calculate the concentration for you.