(Solved): A \( 0.1196 \mathrm{~g} \) sample of sodium carbonate \( \left(\mathrm{Na}_{2} \mathrm{CO}_{3}\rig ...

A \( 0.1196 \mathrm{~g} \) sample of sodium carbonate \( \left(\mathrm{Na}_{2} \mathrm{CO}_{3}\right. \), MW 105.989) was titrated with hydrochloric acid with methyl orange as an indicator and it gave an end point titration volume of \( 42.45 \mathrm{~mL} \). The \( \mathrm{HCl} \) was standardized with \( 0.1425 \mathrm{~g} \) of pure, oven-dried, sodium carbonate, and gave an end point volume of \( 24.30 \mathrm{~mL} \) of \( \mathrm{HCl} \) Calculate the concentration (\% w/w) of carbon dioxide present in the sample. \[ \mathrm{Na}_{2} \mathrm{CO}_{3}+2 \mathrm{HCl} \leftrightharpoons 2 \mathrm{NaCl}+\mathrm{H}_{2} \mathrm{O}+\mathrm{CO}_{2} \]