Chemistry Question from JEE Main 2025 · 22 January, Shift 1

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