Identify the type of reaction for each of the following. Then, predict products for the reaction and balance the equation. If no reaction occurs, write "no reaction." $$ \begin{array}{l}{\text { a. } \mathrm{C}_{2} \mathrm{H}_{6}+\mathrm{O}_{2} \rightarrow} \\ {\text { b. } \mathrm{H}_{2} \mathrm{SO}_{4}+\mathrm{Al} \rightarrow} \\ {\text { c. } \mathrm{N}_{2}+\mathrm{Mg} \rightarrow} \\\ {\text { d. } \mathrm{Na}_{2} \mathrm{CO}_{3} \rightarrow} \\ {\text { e. } \mathrm{Mg}\left(\mathrm{NO}_{3}\right)_{2}+\mathrm{Na}_{2} \mathrm{SO}_{4} \longrightarrow}\end{array} $$

a. \( C_{2}H_{6} + O_{2}\) is a combustion reaction involving a hydrocarbon which yields carbon dioxide \(CO_2\) and water \(H_2O\). \b. \(H_{2}SO_{4} + Al\) is a single replacement reaction where aluminum replaces hydrogen in sulfuric acid, resulting in aluminum sulfate \(Al_2(SO_4)_3\) and hydrogen gas \(H_2\). \c. \(N_{2} + Mg\) does not undergo a reaction as both are in their elemental form. Hence, it's a 'no reaction' case. \d. To predict the product for the reaction \(Na_{2}CO_{3}\), we need additional information about what it reacts with. In absence of such information, this remains incomplete. \ e. \(Mg(NO_{3})_{2} + Na_{2}SO_{4}\) is a double replacement reaction resulting in Magnesium Sulfate \(MgSO_{4}\) and Sodium Nitrate \(NaNO_{3}\).

a. Balancing the equation gives: \(C_{2}H_{6} + 7/2 O_{2} \rightarrow 2 CO_{2} + 3 H_{2}O\) \b. For \(H_{2}SO_{4} + Al \rightarrow Al_2(SO_4)_3 + H_2\), balancing yields: \(3 H_{2}SO_{4} + 2 Al \rightarrow Al_2(SO_4)_3 + 3 H_{2}\) \c. There is no reaction to balance in this case. \d. Again, there is no reaction to balance due to incomplete information. \e. Finally, \(Mg(NO_{3})_{2} + Na_{2}SO_{4} \rightarrow MgSO_{4} + 2 NaNO_{3}\) is already balanced.