\textbf{227 –} 1.6 mol of gas $\mathrm{SO_2Cl_2}$ is placed in a 2-liter closed container and heated until equilibrium is reached:
$$\mathrm{SO_2Cl_2(g) \rightleftharpoons SO_2(g) + Cl_2(g)}$$
If at equilibrium, the total number of moles of gas in the container is 2.4 mol, what is the equilibrium constant $K_c$ (mol$\cdot$L$^{-1}$) under the experimental conditions?
\begin{center}
(1) $2/2$ \hspace{1cm} (2) $1/6$ \hspace{1cm} (3) $0/22$ \hspace{1cm} (4) $0/4$
\end{center}