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Write balanced chemical equations for \((\mathbf{a})\) the complete combustion of acetone \(\left(\mathrm{CH}_{3} \mathrm{COCH}_{3}\right),\) a common organic solvent; (b) the decomposition of solid mercury (I) carbonate into carbon dioxide gas, mercury, and solid mercury oxide; (c) the combination reaction between sulphur dioxide gas and liquid water to produce sulfurous acid.

Short Answer

Expert verified
a) Balanced equation for the complete combustion of acetone: \(CH_3COCH_3 + 4O_2 → 3CO_2 + 3H_2O\) b) Balanced equation for the decomposition of solid mercury(I) carbonate: \(Hg_2CO_3 → CO_2 + 2Hg + 2HgO\) c) Balanced equation for the combination reaction between sulfur dioxide gas and liquid water: \(SO_2 + H_2O → H_2SO_3\)

Step by step solution

01

a) Combustion of acetone

Write the initial reaction equation: Acetone (CH₃COCH₃) reacts with oxygen gas (O₂) to produce carbon dioxide (CO₂) and water (H₂O). Unbalanced equation: CH₃COCH₃ + O₂ → CO₂ + H₂O Balancing the equation by adjusting the coefficients: 1. We have 6 hydrogen atoms on the left side of the equation, so we should have 3 H₂O molecules on the right side. 2. We have 3 carbon atoms on the left side of the equation, so we should have 3 CO₂ molecules on the right side. 3. Now, we need to balance the oxygen atoms. We have 4 oxygen atoms from the 2 O₂ molecules on the left and a total of 9 oxygen atoms on the right. Balanced equation: CH₃COCH₃ + 4O₂ → 3CO₂ + 3H₂O
02

b) Decomposition of mercury(I) carbonate

Write the initial reaction equation: Solid mercury(I) carbonate (Hg₂CO₃) decomposes into carbon dioxide gas (CO₂), mercury (Hg), and solid mercury oxide (HgO). Unbalanced equation: Hg₂CO₃ → CO₂ + Hg + HgO Balancing the equation by adjusting the coefficients: 1. We need 2 mercury atoms on the right side of the equation, so we place a 2 in front of Hg. 2. This results in 3 mercury atoms on the right side, so we place a 2 in front of HgO to balance the equation. Balanced equation: Hg₂CO₃ → CO₂ + 2Hg + 2HgO
03

c) Combination of sulfur dioxide and water

Write the initial reaction equation: Sulfur dioxide gas (SO₂) reacts with liquid water (H₂O) to produce sulfurous acid (H₂SO₃). Unbalanced equation: SO₂ + H₂O → H₂SO₃ There's no need to balance this particular reaction, as the coefficients in the unbalanced equation are already correct for balancing the atoms on both sides of the reaction. Balanced equation: SO₂ + H₂O → H₂SO₃

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Key Concepts

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

Combustion Reaction
A combustion reaction is a type of chemical reaction where a substance combines with oxygen to produce heat and light. This kind of reaction can usually be observed in the form of a fire or flame. For a combustion reaction to occur, there must be a fuel (the substance that burns), oxygen, and an ignition source, like a spark or heat.
In the case of acetone, a common organic solvent, combustion involves reacting with oxygen to produce carbon dioxide and water. The balanced reaction for the combustion of acetone is:
  • Unbalanced: \( \text{CH}_3\text{COCH}_3 + \text{O}_2 \rightarrow \text{CO}_2 + \text{H}_2\text{O} \)
  • Balanced: \( \text{CH}_3\text{COCH}_3 + 4\text{O}_2 \rightarrow 3\text{CO}_2 + 3\text{H}_2\text{O} \)
Balancing a combustion reaction often involves matching the number of carbon, hydrogen, and oxygen atoms on both sides of the equation. This ensures the reaction follows the law of conservation of mass, meaning no atoms are created or destroyed.
Decomposition Reaction
A decomposition reaction is a chemical reaction where a single compound breaks down into two or more simpler substances. These types of reactions are the opposite of combination reactions and often require energy in the form of heat, light, or electricity to occur.
For the decomposition of mercury(I) carbonate, the compound Hg₂CO₃ decomposes into carbon dioxide, mercury, and mercury oxide. This reaction can be depicted as:
  • Unbalanced: \( \text{Hg}_2\text{CO}_3 \rightarrow \text{CO}_2 + \text{Hg} + \text{HgO} \)
  • Balanced: \( \text{Hg}_2\text{CO}_3 \rightarrow \text{CO}_2 + 2\text{Hg} + 2\text{HgO} \)
Balancing this reaction requires ensuring that the number of each type of atom is the same on both sides. In this case, it involves adjusting coefficients to account for two mercury atoms and balancing the mercury oxide produced.
Combination Reaction
A combination reaction, also known as a synthesis reaction, involves two or more simple substances combining to form a more complex compound. These reactions can be seen as the reverse of decomposition reactions and usually release energy, making them somewhat exothermic.
In the combination reaction between sulfur dioxide and water, these reactants form sulfurous acid as shown in the equation:
  • Equation: \( \text{SO}_2 + \text{H}_2\text{O} \rightarrow \text{H}_2\text{SO}_3 \)
Interestingly, this particular reaction does not need any additional balancing, as all the atoms are already balanced in the given equation. This is because the simple addition of the reactants directly forms the product without any left-over atoms, perfectly adhering to the conservation of mass. Combination reactions like this indicate a straightforward path from reactants to products.

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Most popular questions from this chapter

A chemical plant uses electrical energy to decompose aqueous solutions of \(\mathrm{NaCl}\) to give \(\mathrm{Cl}_{2}, \mathrm{H}_{2},\) and \(\mathrm{NaOH}\) : \(2 \mathrm{NaCl}(a q)+2 \mathrm{H}_{2} \mathrm{O}(l) \longrightarrow 2 \mathrm{NaOH}(a q)+\mathrm{H}_{2}(g)+\mathrm{Cl}_{2}(g)\) If the plant produces \(1.5 \times 10^{6} \mathrm{~kg}\) ( 1500 metric tons) of \(\mathrm{Cl}_{2}\) daily, estimate the quantities of \(\mathrm{H}_{2}\) and \(\mathrm{NaOH}\) produced.

One of the steps in the commercial process for converting ammonia to nitric acid is the conversion of \(\mathrm{NH}_{3}\) to NO: $$ 4 \mathrm{NH}_{3}(g)+5 \mathrm{O}_{2}(g) \longrightarrow 4 \mathrm{NO}(g)+6 \mathrm{H}_{2} \mathrm{O}(g) $$ In a certain experiment, \(2.00 \mathrm{~g}\) of \(\mathrm{NH}_{3}\) reacts with \(2.50 \mathrm{~g}\) of \(\mathrm{O}_{2}\). (a) Which is the limiting reactant? (b) How many grams of \(\mathrm{NO}\) and \(\mathrm{H}_{2} \mathrm{O}\) form? \((\mathbf{c})\) How many grams of the excess reactant remain after the limiting reactant is completely consumed? (d) Show that your calculations in parts (b) and (c) are consistent with the law of conservation of mass.

\(\mathrm{NO}_{x}\) is a generic term for the nitrogen oxides, \(\mathrm{NO}\) and \(\mathrm{NO}_{2}\) \(\mathrm{NO}_{x}\) gases are air pollutants that react to form smog and acid rain. In order to reduce \(\mathrm{NO}_{x}\) emission from vehicle, catalytic converters are installed in car exhausts to decompose NO and \(\mathrm{NO}_{2}\) respectively into \(\mathrm{N}_{2}\) and \(\mathrm{O}_{2}(\mathbf{a})\) Write the balanced chemical equations for the decomposition of \(\mathrm{NO}\) and \(\mathrm{NO}_{2}\) respectively. (b) If the car produces \(100 \mathrm{~g} \mathrm{NO}_{x}\) a day, with equal mole ratio of \(\mathrm{NO}\) and \(\mathrm{NO}_{2}\), how many grams of \(\mathrm{NO}\) and \(\mathrm{NO}_{2}\) are produced respectively?

The thermite reaction, $$ \mathrm{Fe}_{2} \mathrm{O}_{3}+\mathrm{Al} \rightarrow \mathrm{Al}_{2} \mathrm{O}_{3}+\mathrm{Fe} $$ produces so much heat that the Fe product melts. This reaction is used industrially to weld metal parts under water, where a torch cannot be employed. It is also a favorite chemical demonstration in the lecture hall (on a small scale). (a) Balance the chemical equation for the thermite reaction, and include the proper states of matter. (b) Calculate how many grams of aluminum are needed to completely react with \(500.0 \mathrm{~g}\) of \(\mathrm{Fe}_{2} \mathrm{O}_{3}\) in this reaction. (c) This reaction produces \(852 \mathrm{~kJ}\) of heat per mole of \(\mathrm{Fe}_{2} \mathrm{O}_{3}\) reacted. How many grams of \(\mathrm{Fe}_{2} \mathrm{O}_{3}\) are needed to produce \(1.00 \times 10^{4} \mathrm{~kJ}\) of heat? (d) If you performed the reverse reaction- aluminum oxide plus iron makes iron oxide plus aluminum-would that reaction have heat as a reactant or a product?

A mixture containing \(\mathrm{KClO}_{3}, \mathrm{~K}_{2} \mathrm{CO}_{3}, \mathrm{KHCO}_{3},\) and \(\mathrm{KCl}\) was heated, producing \(\mathrm{CO}_{2}, \mathrm{O}_{2}\), and \(\mathrm{H}_{2} \mathrm{O}\) gases according to the following equations: $$ \begin{aligned} 2 \mathrm{KClO}_{3}(s) & \longrightarrow 2 \mathrm{KCl}(s)+3 \mathrm{O}_{2}(g) \\\ 2 \mathrm{KHCO}_{3}(s) & \longrightarrow \mathrm{K}_{2} \mathrm{O}(s)+\mathrm{H}_{2} \mathrm{O}(g)+2 \mathrm{CO}_{2}(g) \\ \mathrm{K}_{2} \mathrm{CO}_{3}(s) & \longrightarrow \mathrm{K}_{2} \mathrm{O}(s)+\mathrm{CO}_{2}(g) \end{aligned} $$ The KCl does not react under the conditions of the reaction. If \(100.0 \mathrm{~g}\) of the mixture produces \(1.80 \mathrm{~g}\) of \(\mathrm{H}_{2} \mathrm{O}, 13.20 \mathrm{~g}\) of \(\mathrm{CO}_{2}\), and \(4.00 \mathrm{~g}\) of \(\mathrm{O}_{2}\), what was the composition of the original mixture? (Assume complete decomposition of the mixture.)

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