Write balanced equations for each of the following reactions. (a) When mercury(II) oxide is heated, it decomposes to form \(\mathrm{O}_{2}\) and mercury metal. (b) When copper(II) nitrate is heated strongly, it decomposes to form copper(II) oxide, nitrogen dioxide, and oxygen. (c) Lead(II) sulfide, \(\mathrm{PbS}(s)\), reacts with ozone to form \(\mathrm{PbSO}_{4}(s)\) and \(\mathrm{O}_{2}(g)\). (d) When heated in air, \(\mathrm{ZnS}(s)\) is converted to \(\mathrm{ZnO}\). (e) Potassium peroxide reacts (f) Oxygen with \(\mathrm{CO}_{2}(g)\) to give potassium carbonate and \(\mathrm{O}_{2}\). is converted to ozone in the upper atmosphere.

Short Answer

Expert verified
(a) \(2\mathrm{HgO} \rightarrow \mathrm{O}_{2} + 2\mathrm{Hg}\) (b) \(\mathrm{Cu(NO_3)_2} \rightarrow \mathrm{CuO} + 2\mathrm{NO_2} + \frac{1}{2}\mathrm{O_2}\) (c) \(\mathrm{PbS} + 2\mathrm{O_3} \rightarrow \mathrm{PbSO_4} + 2\mathrm{O_2}\) (d) \(\mathrm{ZnS} + \frac{1}{2}\mathrm{O_2} \rightarrow \mathrm{ZnO}\) (e) \(\mathrm{K_2O_2} + \mathrm{CO_2} \rightarrow \mathrm{K_2CO_3} + \mathrm{O_2}\) (f) \(\frac{3}{2}\mathrm{O_2} \rightarrow \mathrm{O_3}\)

Step by step solution

01

a) Decomposition of mercury(II) oxide

To write the balanced equation for the decomposition of mercury(II) oxide, first write the formula for the reactant (mercury(II) oxide) and the products (oxygen and mercury metal) and then find the coefficients that balance the atoms. The formula for mercury(II) oxide is \(\mathrm{HgO}\), and mercury metal is represented by \(\mathrm{Hg}\). The decomposition reaction can be written as: $$\mathrm{HgO} \rightarrow \mathrm{O}_{2} + \mathrm{Hg}$$ To balance the equation, we need 2 \(\mathrm{HgO}\) molecules to produce 2 \(\mathrm{Hg}\) atoms and 1 \(\mathrm{O}_{2}\) molecule: $$2\mathrm{HgO} \rightarrow \mathrm{O}_{2} + 2\mathrm{Hg}$$
02

(b) Decomposition of copper(II) nitrate

Copper(II) nitrate has the formula \(\mathrm{Cu(NO_3)_2}\) and decomposes into copper(II) oxide (\(\mathrm{CuO}\)), nitrogen dioxide (\(\mathrm{NO_2}\)), and oxygen (\(\mathrm{O_2}\)). The reaction can be written as: $$\mathrm{Cu(NO_3)_2} \rightarrow \mathrm{CuO} + \mathrm{NO_2} + \mathrm{O_2}$$ To balance the equation, we need 2 \(\mathrm{NO_2}\) molecules and 1 \(\mathrm{O_2}\) molecule for each \(\mathrm{Cu(NO_3)_2}\) molecule decomposed: $$\mathrm{Cu(NO_3)_2} \rightarrow \mathrm{CuO} + 2\mathrm{NO_2} + \frac{1}{2}\mathrm{O_2}$$
03

(c) Reaction of lead(II) sulfide with ozone

The formula for lead(II) sulfide is \(\mathrm{PbS}\) and reacts with ozone (\(\mathrm{O_3}\)) to form lead(II) sulfate (\(\mathrm{PbSO_4}\)) and oxygen (\(\mathrm{O_2}\)). The reaction can be written as: $$\mathrm{PbS} + \mathrm{O_3} \rightarrow \mathrm{PbSO_4} + \mathrm{O_2}$$ To balance the equation, we need 2 \(\mathrm{O_3}\) molecules to produce 2 \(\mathrm{O_2}\) molecules: $$\mathrm{PbS} + 2\mathrm{O_3} \rightarrow \mathrm{PbSO_4} + 2\mathrm{O_2}$$
04

(d) Conversion of zinc sulfide to zinc oxide in air

The formula for zinc sulfide is \(\mathrm{ZnS}\) and is converted to zinc oxide (\(\mathrm{ZnO}\)) when heated in air (in the presence of oxygen, \(\mathrm{O_2}\)). The reaction can be written as: $$\mathrm{ZnS} + \mathrm{O_2} \rightarrow \mathrm{ZnO}$$ To balance the equation, we need 1 \(\mathrm{O_2}\) molecule to react with 1 \(\mathrm{ZnS}\): $$\mathrm{ZnS} + \frac{1}{2}\mathrm{O_2} \rightarrow \mathrm{ZnO}$$
05

(e) Reaction of potassium peroxide with carbon dioxide

The formula for potassium peroxide is \(\mathrm{K_2O_2}\) and reacts with carbon dioxide (\(\mathrm{CO_2}\)) to form potassium carbonate (\(\mathrm{K_2CO_3}\)) and oxygen (\(\mathrm{O_2}\)). The reaction can be written as: $$\mathrm{K_2O_2} + \mathrm{CO_2} \rightarrow \mathrm{K_2CO_3} + \mathrm{O_2}$$ Since all elements are already balanced, no additional coefficients are needed.
06

(f) Conversion of oxygen to ozone in the upper atmosphere

The conversion of oxygen (\(\mathrm{O_2}\)) to ozone (\(\mathrm{O_3}\)) in the upper atmosphere can be represented by the equation: $$\mathrm{O_2} \rightarrow \mathrm{O_3}$$ To balance the equation, note that 3 \(\mathrm{O_2}\) molecules are needed to form 2 \(\mathrm{O_3}\) molecules: $$\frac{3}{2}\mathrm{O_2} \rightarrow \mathrm{O_3} $$

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