Rosa was looking for patterns to help predict the products of chemical reactions. She recorded three similar decomposition reactions in the table below:

\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|}{Reactants} & \multicolumn{1}{c|}{Products} \\
\hline [tex]$2 \text{NaClO}_3$[/tex] & [tex]$2 \text{NaCl} + 3 \text{O}_2$[/tex] \\
\hline [tex]$2 \text{KClO}_3$[/tex] & [tex]$3 \text{O}_2 + 2 \text{KCl}$[/tex] \\
\hline [tex]$2 \text{LiClO}_3$[/tex] & \\
\hline
\end{tabular}

What products should she record in the last row of the table?

A. [tex]$2 \text{LiCl} + 3 \text{O}_2$[/tex]

B. [tex]$3 \text{LiCl} + 2 \text{O}_2$[/tex]

C. [tex]$2 \text{LiO} + 3 \text{Cl}_2$[/tex]

D. [tex]$3 \text{LiO} + 2 \text{Cl}_2$[/tex]



Answer :

To determine the products of the decomposition reaction of [tex]\(2 \, \text{LiClO}_3\)[/tex], let's analyze the given patterns within the table:

[tex]\[ \begin{array}{|c|c|} \hline \multicolumn{1}{|c|}{\text{Reactants}} & \multicolumn{1}{c|}{\text{Products}} \\ \hline 2 \, \text{NaClO}_3 & 2 \, \text{NaCl} + 3 \, \text{O}_2 \\ \hline 2 \, \text{KClO}_3 & 3 \, \text{O}_2 + 2 \, \text{KCl} \\ \hline 2 \, \text{LiClO}_3 & \\ \hline \end{array} \][/tex]

By observing the decomposition reactions for sodium chlorate ([tex]\(2 \, \text{NaClO}_3\)[/tex]) and potassium chlorate ([tex]\(2 \, \text{KClO}_3\)[/tex]), we notice a common pattern in the products:

[tex]\[ 2 \, \text{MClO}_3 \rightarrow 2 \, \text{MCl} + 3 \, \text{O}_2 \quad \text{where M is a metal} \][/tex]

Applying this pattern to lithium chlorate ([tex]\(2 \, \text{LiClO}_3\)[/tex]), we expect the products to follow the same form:

[tex]\[ 2 \, \text{LiClO}_3 \rightarrow 2 \, \text{LiCl} + 3 \, \text{O}_2 \][/tex]

Thus, the products that Rosa should record in the last row of the table are:

[tex]\[ 2 \, \text{LiCl} + 3 \, \text{O}_2 \][/tex]

Therefore, the correct answer for what products to record in the last row of the table is:

[tex]\[ \boxed{2 \, \text{LiCl} + 3 \, \text{O}_2} \][/tex]