
Concept explainers
Write and balance the equation for the reaction of butane, C4H10, with oxygen to form carbon dioxide and water. Use your equation to help answer the following questions. (a) Write, in words, a description of the reaction on the particulate level. (b) If you were to build physical ball-and-stick models of the reactants and products, what minimum number of balls representing atoms of each element do you need if you show both reactants and products at the same time? (c) What if the models of the reactants from Part (b) were built and then rearranged to form products? How many balls would you need? (d) Use words to interpret the equation on the molar level. (e) Use the molar-level interpretation of the equation from Part (d) and molar masses rounded to the nearest gram to show that mass is indeed conserved in this reaction.

(a)
Interpretation:
The description of the given reaction is to be stated on the particulate level.
Concept introduction:
In a balanced chemical equation, all the reactants and products are written with their stoichiometric coefficients and their physical states. The number of atoms of an element on both sides of a balanced chemical equation is equal.
Answer to Problem 8E
At particulate level, two molecule of butane reacts with thirteen molecules of oxygen to form eight molecules of carbon dioxide and ten molecules of water.
Explanation of Solution
The butane undergoes combustion reaction in presence of oxygen to form carbon dioxide and water. The corresponding chemical reaction is,
C4H10(l)+O2(g)→CO2(g)+H2O(g)
To balance the given chemical equation, the number of carbon atoms, oxygen atoms, and hydrogen atoms should be same on both the sides. The balanced chemical equation is,
C4H10(l)+132O2(g)→4CO2(g)+5H2O(g)
To balance the number of carbon atoms, oxygen atoms, and hydrogen atoms, the coefficient of 4 is placed before carbon dioxide, the coefficient of 5 is placed before water and the coefficient of 132 is placed before oxygen gas.
The reaction is multiplied by factor of 2 and thus, the reaction becomes,
2C4H10(l)+13O2(g)→8CO2(g)+10H2O(g)
At particulate level, two molecules of butane reacts with thirteen molecules of oxygen to form eight molecules of carbon dioxide and ten molecules of water.
At particulate level, two molecule of butane reacts with thirteen molecules of oxygen to form eight molecules of carbon dioxide and ten molecules of water.

(b)
Interpretation:
The minimum number of balls representing atoms of each element required to show both reactants and products at the same time is to be stated.
Concept introduction:
In a balanced chemical equation, all the reactants and products are written with their stoichiometric coefficients and their physical states. The number of atoms of an element on both sides of a balanced chemical equation is equal.
Answer to Problem 8E
The minimum number of balls representing atoms of each element required to show both reactants and products at the same time are 16 carbon atoms, 40 hydrogen atoms and 52 oxygen atoms.
Explanation of Solution
The butane undergoes combustion reaction in presence of oxygen to form carbon dioxide and water. The corresponding chemical reaction is,
C4H10(l)+O2(g)→CO2(g)+H2O(g)
To balance the given chemical equation, the number of carbon atoms, oxygen atoms, and hydrogen atoms should be same on both the sides. The balanced chemical equation is,
C4H10(l)+132O2(g)→4CO2(g)+5H2O(g)
To balance the number of carbon atoms, oxygen atoms, and hydrogen atoms, the coefficient of 4 is placed before carbon dioxide, the coefficient of 5 is placed before water and the coefficient of 132 is placed before oxygen gas.
The reaction is multiplied by factor of 2 and thus, the reaction becomes,
2C4H10(l)+13O2(g)→8CO2(g)+10H2O(g)
At particulate level, two molecule of butane reacts with thirteen molecules of oxygen to form eight molecules of carbon dioxide and ten molecules of water.
In reactants, for one molecule of butane, four atoms of carbon and ten atoms of hydrogen is required and for oxygen molecule, two atoms of oxygen are required.
In products, for one molecule of carbon dioxide, one atom of carbon and two atoms of oxygen are required and for water molecule, two atoms of hydrogen and one atom of oxygen are required.
To depict the given balanced equation, reactant requires, 8 carbon atoms, 20 hydrogen atoms and 26 oxygen atoms, whereas products require 8 carbon atoms, 20 hydrogen atoms and 26 oxygen atoms. In total 16 carbon atoms, 40 hydrogen atoms and 52 oxygen atoms are required.
The minimum number of balls representing atoms of each element required to show both reactants and products at the same time are 16 carbon atoms, 40 hydrogen atoms and 52 oxygen atoms.

(b)
Interpretation:
The minimum number of balls representing atoms of each element required to show reactants which are then rearranged to products are to be stated.
Concept introduction:
In a balanced chemical equation, all the reactants and products are written with their stoichiometric coefficients and their physical states. The number of atoms of an element on both sides of a balanced chemical equation is equal.
Answer to Problem 8E
The minimum number of balls representing atoms of each element required to show reactants which are then rearranged to products are 8 carbon atoms, 20 hydrogen atoms and 26 oxygen atoms.
Explanation of Solution
The butane undergoes combustion reaction in presence of oxygen to form carbon dioxide and water. The corresponding chemical reaction is,
C4H10(l)+O2(g)→CO2(g)+H2O(g)
To balance the given chemical equation, the number of carbon atoms, oxygen atoms, and hydrogen atoms should be same on both the sides. The balanced chemical equation is,
C4H10(l)+132O2(g)→4CO2(g)+5H2O(g)
To balance the number of carbon atoms oxygen atoms, and hydrogen atoms, the coefficient of 4 is placed before carbon dioxide, the coefficient of 5 is placed before water and the coefficient of 132 is placed before oxygen gas.
The reaction is multiplied by factor of 2 and thus, the reaction becomes,
2C4H10(l)+13O2(g)→8CO2(g)+10H2O(g)
At particulate level, two molecule of butane reacts with thirteen molecules of oxygen to form eight molecules of carbon dioxide and ten molecules of water.
In reactants, for one molecule of butane, four atoms of carbon and ten atoms of hydrogen is required and for oxygen molecule two atoms of oxygen are required.
In products, for one molecule of carbon dioxide, one atom of carbon and two atoms of oxygen are required and for water molecule two atoms of hydrogen and one atom of oxygen are required.
To depict the given balanced equation reactant requires, 8 carbon atoms, 20 hydrogen atoms, 26 oxygen atoms. The numbers of atoms are balanced on both the sides of the reaction. Thus, in total 8 carbon atoms, 20 hydrogen atoms and 26 oxygen atoms are required.
The minimum number of balls representing atoms of each element required to show reactants which are then rearranged to products are 8 carbon atoms, 20 hydrogen atoms and 26 oxygen atoms.

(d)
Interpretation:
The description of the given reaction is to be stated on the molar level.
Concept introduction:
In a balanced chemical equation, all the reactants and products are written with their stoichiometric coefficients and their physical states. The number of atoms of an element on both sides of a balanced chemical equation is equal.
Answer to Problem 8E
At molar level, one mole of butane reacts with 132 moles of oxygen to form four moles of carbon dioxide and five moles of water.
Explanation of Solution
The butane undergoes combustion reaction in presence of oxygen to form carbon dioxide and water. The corresponding chemical reaction is,
C4H10(l)+O2(g)→CO2(g)+H2O(g)
To balance the given chemical equation, the number of carbon atoms, oxygen atoms, and hydrogen atoms should be same on both the sides. The balanced chemical equation is,
C4H10(l)+132O2(g)→4CO2(g)+5H2O(g)
To balance the number of carbon atoms oxygen atoms, and hydrogen atoms, the coefficient of 4 is placed before carbon dioxide, the coefficient of 5 is placed before water and the coefficient of 132 is placed before oxygen gas.
At molar level, one mole of butane reacts with 132 moles of oxygen to form four moles of carbon dioxide and five moles of water.
At molar level, one mole of butane reacts with 132 moles of oxygen to form four moles of carbon dioxide and five moles of water.

(e)
Interpretation:
The validation of the fact that the mass is conserved for the given reaction is to be stated.
Concept introduction:
In a balanced chemical equation, all the reactants and products are written with their stoichiometric coefficients and their physical states. The number of atoms of an element on both sides of a balanced chemical equation is equal.
Answer to Problem 8E
The mass of reactants and products is same and thus, the mass of the given reaction is conserved.
Explanation of Solution
The butane undergoes combustion reaction in presence of oxygen to form carbon dioxide and water. The corresponding chemical reaction is,
C4H10(l)+O2(g)→CO2(g)+H2O(g)
To balance the given chemical equation, the number of carbon atoms, oxygen atoms, and hydrogen atoms should be same on both the sides. The balanced chemical equation is,
C4H10(l)+132O2(g)→4CO2(g)+5H2O(g)
To balance the number of carbon atoms oxygen atoms, and hydrogen atoms, the coefficient of 4 is placed before carbon dioxide, the coefficient of 5 is placed before water and the coefficient of 132 is placed before oxygen gas.
At molar level, one mole of butane reacts with 132 moles of oxygen to form four moles of carbon dioxide and five moles of water.
The molar mass of carbon is 12.01 g/mol.
The molar mass of hydrogen is 1.008 g/mol.
The molar mass of oxygen is 16.00 g/mol.
The mass of reactants is calculated by the sum of mass of each reactant.
The molar mass of butane is calculated as follows,
Molar mass of butane=(4×Molar mass of carbon+10×Molar mass of hydrogen)
Substitute the molar mass of carbon and hydrogen in the above formula.
Molar mass of butane=(4×12 g/mol+10×1 g/mol)Molar mass of butane=(48 g/mol+10 g/mol)Molar mass of butane=58 g/mol
The molar mass of oxygen is calculated as follows,
Molar mass of oxygen=2×Molar mass of oxygen
Substitute the molar mass of oxygen in the above formula.
Molar mass of oxygen=2×16 g/molMolar mass of oxygen=32 g/mol
The total mass of oxygen is,
Mass of oxygen=6.5 mol×32 g/molMass of oxygen=208 g
Total mass of reactants is 208 g+58 g=266 g.
The molar mass of carbon dioxide is calculated as follows,
Molar mass of carbon dioxide=(1×Molar mass of carbon+2×Molar mass of oxygen)
Substitute the molar mass of carbon and oxygen in the above formula.
Molar mass of carbon dioxide=(1×12 g/mol+2×16 g/mol)Molar mass of carbon dioxide=(12 g/mol+32 g/mol)Molar mass of carbon dioxide=44 g/mol
The molar mass of water is calculated as follows,
Molar mass of water=1×Molar mass of oxygen+2×Molar mass of hydrogen
Substitute the molar mass of oxygen and hydrogen in the above formula.
Molar mass of water=1×16 g/mol+2×1 g/molMolar mass of water=18 g/mol
The total mass of carbon dioxide is,
Mass of carbon dioxide=4 mol×44 g/molMass of carbon dioxide=176 g
The total mass of water is,
Mass of water=5 mol×18 g/molMass of water=90 g
Total mass of products is 176 g+90 g=266 g.
The mass of reactants and products is same, thus, the mass is conserved.
The mass of reactants and products is same and thus, the mass of the given reaction is conserved.
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Chapter 8 Solutions
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