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Write balanced chemical equations to correspond to each of the following descriptions: (a) When sulfur trioxide gas reacts with water, a solution of sulfuric acid forms. (b) Boron sulfide, \(\mathrm{B}_{2} \mathrm{~S}_{3}(s),\) reacts violently with water to form dissolved boric acid, \(\mathrm{H}_{3} \mathrm{BO}_{3},\) and hydrogen sulfide gas. (c) Phosphine, \(\mathrm{PH}_{3}(g)\), combusts in oxygen gas to form water vapor and solid tetraphosphorus decaoxide. (d) When solid mercury(II) nitrate is heated, it decomposes to form solid mercury(II) oxide, gaseous nitrogen dioxide, and oxygen. (e) Copper metal reacts with hot concentrated sulfuric acid solution to form aqueous copper(II) sulfate, sulfur dioxide gas, and water.

Short Answer

Expert verified
(a) \(SO_3 + H_2O \rightarrow H_2SO_4\) (b) \(B_2S_3 + 6H_2O \rightarrow 2H_3BO_3 + 3H_2S\) (c) \(4PH_3 + 8O_2 \rightarrow 6H_2O + P_4O_{10}\) (d) \(2Hg(NO_3)_2 \rightarrow 2HgO + 4NO_2 + O_2\) (e) \(Cu + H_2SO_4 \rightarrow CuSO_4 + SO_2 + H_2O\)

Step by step solution

01

Write the unbalanced equation

The chemical formula for sulfur trioxide is SO鈧, and for water it is H鈧侽. They react to form sulfuric acid (H鈧係O鈧). The unbalanced equation is: SO鈧 + H鈧侽 鈫 H鈧係O鈧
02

Balance the equation

The equation is already balanced: SO鈧 + H鈧侽 鈫 H鈧係O鈧 (b) Boron sulfide reacts violently with water to form boric acid and hydrogen sulfide gas.
03

Write the unbalanced equation

The chemical formula for boron sulfide is B鈧係鈧, and it reacts with water (H鈧侽) to form boric acid (H鈧傿O鈧) and hydrogen sulfide gas (H鈧係). The unbalanced equation is: B鈧係鈧 + H鈧侽 鈫 H鈧傿O鈧 + H鈧係
04

Balance the equation

Balancing the equation gives us: B鈧係鈧 + 6H鈧侽 鈫 2H鈧傿O鈧 + 3H鈧係 (c) Phosphine combusts in oxygen gas to form water vapor and solid tetraphosphorus decaoxide.
05

Write the unbalanced equation

Phosphine (PH鈧) combusts in oxygen (O鈧) to form water vapor (H鈧侽) and solid tetraphosphorus decaoxide (P鈧凮鈧佲個). The unbalanced equation is: PH鈧 + O鈧 鈫 H鈧侽 + P鈧凮鈧佲個
06

Balance the equation

Balancing the equation gives us: 4PH鈧 + 8O鈧 鈫 6H鈧侽 + P鈧凮鈧佲個 (d) Solid mercury(II) nitrate decomposes to form solid mercury(II) oxide, nitrogen dioxide, and oxygen.
07

Write the unbalanced equation

When solid mercury(II) nitrate (Hg(NO鈧)鈧) is heated, it decomposes to form solid mercury(II) oxide (HgO), nitrogen dioxide (NO鈧), and oxygen (O鈧). The unbalanced equation is: Hg(NO鈧)鈧 鈫 HgO + NO鈧 + O鈧
08

Balance the equation

Balancing the equation gives us: 2Hg(NO鈧)鈧 鈫 2HgO + 4NO鈧 + O鈧 (e) Copper metal reacts with hot concentrated sulfuric acid solution to form aqueous copper(II) sulfate, sulfur dioxide gas, and water.
09

Write the unbalanced equation

Copper (Cu) reacts with hot concentrated sulfuric acid (H鈧係O鈧) to form aqueous copper(II) sulfate (CuSO鈧), sulfur dioxide gas (SO鈧), and water (H鈧侽). The unbalanced equation is: Cu + H鈧係O鈧 鈫 CuSO鈧 + SO鈧 + H鈧侽
10

Balance the equation

Balancing the equation gives us: Cu + H鈧係O鈧 鈫 CuSO鈧 + SO鈧 + H鈧侽

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Chemical Reactions
Chemical reactions are transformations that involve the rearrangement of atoms to form new substances. During a chemical reaction, the bonds between atoms in reactant molecules are broken and new bonds are formed in the product molecules. This results in different physical and chemical properties from the original substances.
Stoichiometry is central to chemical reactions. It involves balancing chemical equations to ensure the law of conservation of mass is obeyed, meaning that the number of each type of atom is the same on both the reactant and product sides. By balancing these equations, we can predict the quantities of reactants and products involved in the reaction.
For example, when sulfur trioxide (\(\text{SO}_3\)) reacts with water (\(\text{H}_2\text{O}\)) to form sulfuric acid (\(\text{H}_2\text{SO}_4\)), all atoms must be accounted for to balance the equation correctly, which is:
  • \(\text{SO}_3 + \text{H}_2\text{O} \rightarrow \text{H}_2\text{SO}_4\)
Balancing chemical equations requires a systematic approach, often involving starting with more complex molecules and gradually balancing simpler atoms like hydrogen and oxygen.
Sulfuric Acid Formation
Sulfuric acid formation is an exothermic process where sulfur trioxide (\(\text{SO}_3\)) reacts with water (\(\text{H}_2\text{O}\)) to produce sulfuric acid (\(\text{H}_2\text{SO}_4\)). This reaction is crucial in industrial processes, especially in the manufacture of fertilizers, dyes, and explosives.
The overall reaction is very straightforward:
  • \(\text{SO}_3 + \text{H}_2\text{O} \rightarrow \text{H}_2\text{SO}_4\)
Even though the equation is balanced as written, the actual reaction process involves a highly exothermic interaction, releasing a significant amount of heat.
This requires careful control to prevent hazards in industrial settings, where heat management is crucial to ensure safety and maximize efficiency.
Decomposition Reactions
Decomposition reactions are chemical changes where one compound breaks down into two or more simpler products. This type of reaction usually requires energy input, such as heat, light, or electricity, to break the chemical bonds in the reactant.
An example is the decomposition of mercury(II) nitrate (\(\text{Hg(NO}_3\text{)}_2\)) upon heating:
  • \(2\text{Hg(NO}_3\text{)}_2 \rightarrow 2\text{HgO} + 4\text{NO}_2 + \text{O}_2\)
In this balanced decomposition reaction, mercury(II) nitrate breaks down into mercury(II) oxide (\(\text{HgO}\)), nitrogen dioxide (\(\text{NO}_2\)), and oxygen (\(\text{O}_2\)) gas.
The stoichiometry of decomposition reactions ensures the number of atoms is conserved during the transformation, illustrating the fundamental principle of conservation of mass.
Combustion Reactions
Combustion reactions are exothermic processes where a substance rapidly reacts with oxygen, releasing energy in the form of light and heat. These reactions are typically characterized by the presence of oxygen as a reactant and often involve hydrocarbons or more complex compounds.
An example is the combustion of phosphine (\(\text{PH}_3\)):
  • \(4\text{PH}_3 + 8\text{O}_2 \rightarrow 6\text{H}_2\text{O} + \text{P}_4\text{O}_{10}\)
In this reaction, phosphine burns in oxygen to form water vapor and solid tetraphosphorus decaoxide (\(\text{P}_4\text{O}_{10}\)).
By balancing the combustion equation, we can determine the proportionate amounts of reactants and products, ensuring a complete and accurate description of the chemical change. Combustion reactions are vital in energy production, powering engines and other industrial processes through the controlled release of energy.

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Most popular questions from this chapter

Determine the formula weights of each of the following compounds: (a) Butyric acid, \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{COOH},\) which is responsible for the rotten smell of spoiled food; (b) sodium perborate, \(\mathrm{NaBO}_{3}\), a substance used as bleach; (c) calcium carbonate, \(\mathrm{CaCO}_{3},\) a substance found in marble. (c) \(\mathrm{CF}_{2} \mathrm{Cl}_{2},\) a refrigerant known as Freon; \((\mathbf{d}) \mathrm{NaHCO}_{3},\) known as baking soda and used in bread and pastry baking; \((\mathbf{e})\) iron pyrite, \(\mathrm{FeS}_{2}\) which has a golden appearance and is known as "Fool's Gold."

The source of oxygen that drives the internal combustion engine in an automobile is air. Air is a mixture of gases, principally \(\mathrm{N}_{2}(\sim 79 \%)\) and \(\mathrm{O}_{2}(\sim 20 \%) .\) In the cylinder of an automobile engine, nitrogen can react with oxygen to produce nitric oxide gas, NO. As NO is emitted from the tailpipe of the car, it can react with more oxygen to produce nitrogen dioxide gas. (a) Write balanced chemical equations for both reactions. (b) Both nitric oxide and nitrogen dioxide are pollutants that can lead to acid rain and global warming; collectively, they are called "NO \(_{x}\) " gases. In 2009 , the United States emitted an estimated 19 million tons of nitrogen dioxide into the atmosphere. How many grams of nitrogen dioxide is this? (c) The production of \(\mathrm{NO}_{x}\) gases is an unwanted side reaction of the main engine combustion process that turns octane, \(\mathrm{C}_{8} \mathrm{H}_{18},\) into \(\mathrm{CO}_{2}\) and water. If \(85 \%\) of the oxygen in an engine is used to combust octane and the remainder used to produce nitrogen dioxide, calculate how many grams of nitrogen dioxide would be produced during the combustion of \(500 \mathrm{~g}\) of octane.

If \(2.0 \mathrm{~mol} \mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{COOH}, 2.0 \mathrm{~mol} \mathrm{C}_{4} \mathrm{H}_{10},\) and \(2.0 \mathrm{~mol}\) \(\mathrm{C}_{6} \mathrm{H}_{6}\) are completely combusted in oxygen, which one produces the largest number of moles of \(\mathrm{H}_{2} \mathrm{O}\) ? Which one produces the least? Explain.

Determine the empirical formula of each of the following compounds if a sample contains (a) \(3.92 \mathrm{~mol} \mathrm{C}, 5.99 \mathrm{~mol} \mathrm{H},\) and \(2.94 \mathrm{~mol} \mathrm{O} ;\) (b) \(12.0 \mathrm{~g}\) calcium and 2.8 g nitrogen; \((\mathbf{c})\) \(89.14 \%\) Au and \(10.86 \%\) O by mass.

A sample of the male sex hormone testosterone, \(\mathrm{C}_{19} \mathrm{H}_{28} \mathrm{O}_{2}\), contains \(3.88 \times 10^{21}\) hydrogen atoms. (a) How many atoms of carbon does it contain? (b) How many molecules of testosterone does it contain? (c) How many moles of testosterone does it contain? (d) What is the mass of this sample in grams?

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