Some Basic Concepts in Chemistry: JEE Main 2025 Chemistry question

Some $\mathrm{CO_2}$ gas was kept in a sealed container at a pressure of 1 atm and at 273 K. This entire amount of $\mathrm{CO_2}$ gas was later passed through an aqueous solution of $\mathrm{Ca(OH)_2}$. The excess unreacted $\mathrm{Ca(OH)_2}$ was later neutralized with 0.1 M of 40 mL HCl. If the volume of the sealed container of $\mathrm{CO_2}$ was x, then x is ______ cm$^3$ (nearest integer). [Given: The entire amount of $\mathrm{CO_2}$(g) reacted with exactly half the initial amount of $\mathrm{Ca(OH)_2}$ present in the aqueous solution.]