Write a balanced chemical equation for the reaction that occurs when (a) \(\mathrm{Mg}(s)\) reacts with \(\mathrm{Cl}_{2}(g) ;\) (b) barium carbonate decomposes into barium oxide and carbon dioxide gas when heated; (c) the hydrocarbon styrene, \(\mathrm{C}_{8} \mathrm{H}_{8}(l),\) is combusted in air; (d) dimethylether, \(\mathrm{CH}_{3} \mathrm{OCH}_{3}(g),\) is combusted in air.

Short Answer

Expert verified
a) \(Mg(s) + Cl_{2}(g) \rightarrow MgCl_{2}(s)\) b) \(BaCO_{3}(s) \rightarrow BaO(s) + CO_{2}(g)\) c) \(C_{8}H_{8}(l) + 6O_{2}(g) \rightarrow 8CO_{2}(g) + 4H_{2}O(l)\) d) \(CH_{3}OCH_{3}(g) + 3O_{2}(g) \rightarrow 2CO_{2}(g) + 3H_{2}O(l)\)

Step by step solution

01

Reaction a: Magnesium reacting with chlorine gas

When magnesium reacts with chlorine gas, it forms magnesium chloride. The balanced chemical equation for this reaction is: \[Mg(s) + Cl_{2}(g) \rightarrow MgCl_{2}(s)\]
02

Reaction b: Decomposition of barium carbonate

When barium carbonate decomposes, it forms barium oxide and carbon dioxide gas. The balanced chemical equation for this reaction is: \[BaCO_{3}(s) \rightarrow BaO(s) + CO_{2}(g)\]
03

Reaction c: Combustion of styrene

Combustion of the hydrocarbon styrene (\(C_{8}H_{8}(l)\)) in air produces carbon dioxide and water. The balanced chemical equation for this reaction is: \[C_{8}H_{8}(l) + 6O_{2}(g) \rightarrow 8CO_{2}(g) + 4H_{2}O(l)\]
04

Reaction d: Combustion of dimethyl ether

Combustion of dimethyl ether (\(CH_{3}OCH_{3}(g)\)) in air produces carbon dioxide and water. The balanced chemical equation for this reaction is: \[CH_{3}OCH_{3}(g) + 3O_{2}(g) \rightarrow 2CO_{2}(g) + 3H_{2}O(l)\]

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