A metal \(X\) reacts with aqueous \(\mathrm{NaOH}\) solution to form \(Y\) and a
highly inflammable gas. Solution \(Y\) is heated and \(\mathrm{CO}_{2}\) is poured
through it. \(Z\) precipitates out and \(\mathrm{Na}_{2} \mathrm{CO}_{3}\) is
formed. \(Z\) on heating gives \(\mathrm{Al}_{2} \mathrm{O}_{3}\). Identify \(X, Y\)
and \(Z\).
$$\begin{array}{lll}
{\boldsymbol{X}} & {\boldsymbol{Y}} & {\boldsymbol{Z}} \\
(a) \mathrm{Al} &\mathrm{NaAlO}_{2} & \mathrm{Al}(\mathrm{OH})_{3} \\
(b) \mathrm{Al}_{2} \mathrm{O}_{3} & \mathrm{NaAlO}_{2} & \mathrm{Al}_{2}
\mathrm{CO}_{3} \\
(c) \mathrm{Al}_{2} \mathrm{O}_{3} & {\left[\mathrm{Na}_{2}
\mathrm{AlO}_{2}\right]^{+} \mathrm{OH}^{-}} & \mathrm{Al}(\mathrm{OH})_{3}
\\\
(d) \mathrm{Al} & \mathrm{Al}(\mathrm{OH})_{3} & \mathrm{Al}_{2}
\mathrm{O}_{3}
\end{array}$$