
Concept explainers
4.10 How many moles of oxygen can be obtained by the decomposition of 7.5 mol of reactant in each of the following reactions?
- 2KClO3→ 2KCl + 3O2

Interpretation:
The moles of oxygen that is obtained by the decomposition of 7.5 moles of reactant in each of the following reactions have to be calculated.
Concept Introduction:
- The molar ratio can be used to relate:
- The moles of product formed from certain moles of reactant.
- The moles of reactant needed to form certain moles of a product.
- The moles of a reactant needed to react with certain moles of a second reactant.
Given:
2 KClO3→2 KCl + 3O22 H2O2→2 H2O + O22 HgO→2 Hg + O22 NaNO3→2 NaNO2 + O2KClO4→KCl+ 2 O2
(a) To determine:
The moles of oxygen that is obtained by the decomposition of 7.5 moles of reactant 2 KClO3→2 KCl + 3O2.
Answer to Problem 4.10PAE
Solution:
a) 11.25 moles of O2.
Explanation of Solution
Write the molar ratio between the KClO3 and O2
2 moles of KClO3 reacting with 3 moles of O2.
So that, the molar ratio is:
3 mol O22 moles KClO3
Calculate the moles of O2 produced
moles of O2 produced= 7.5 moles KClO3×3 moles O22 moles KClO3=11.25 moles of O2
a) 11.25 moles of O2.

(b) To determine:
The moles of oxygen that is obtained by the decomposition of 7.5 moles of reactant of 2 H2O2→2 H2O + O2.
Answer to Problem 4.10PAE
Solution:
b) 3.75 moles of O2.
Explanation of Solution
Write the molar ratio between the H2O2 and O2
2 moles of H2O2 react with 1 mol of O2
So that, the molar ratio is:
1 mol O22 moles H2O2
Calculate the moles of O2 produced
moles of O2 produced= 7.5 moles H2O2×1 mol O22 moles H2O2=3.75 moles of O2
b) 3.75 moles of O2.

(c) To determine:
The moles of oxygen that is obtained by the decomposition of 7.5 moles of reactant of 2 HgO→2 Hg + O2.
Answer to Problem 4.10PAE
Solution:
c) 3.75 moles of O2.
Explanation of Solution
Write the molar ratio between the HgO and O2
2 moles of HgO react with 1 mol of O2
So that, the molar ratio is:
1 mol O22 moles HgO
2-Calculate the moles of O2 produced
moles of O2 produced= 7.5 moles HgO×1 mol O22 moles HgO=3.75 moles of O2
c) 3.75 moles of O2.

(d) To determine:
The moles of oxygen that is obtained by the decomposition of 7.5 moles of reactant of 2 NaNO3→2 NaNO2 + O2.
Answer to Problem 4.10PAE
Solution:
d) 3.75 moles of O2.
Explanation of Solution
Write the molar ratio between the NaNO3 and O2
2 moles of NaNO3 react with 1 mol of O2
So that, the molar ratio is:
1 mol O22 moles NaNO3
Calculate the moles of O2 produced
moles of O2 produced= 7.5 moles NaNO3×1 mol O22 moles NaNO3=3.75 moles of O2
d) 3.75 moles of O2.

(e) To determine:
The moles of oxygen that is obtained by the decomposition of 7.5 moles of reactant of KClO4→KCl+ 2 O2.
Answer to Problem 4.10PAE
Solution:
e) 15 moles of O2.
Explanation of Solution
Write the molar ratio between the KClO4 and O2
1 mol of KClO4 react with 2 moles of O2
So that, the molar ratio is:
2 moles O21 moles KClO4
Calculate the moles of O2 produced
moles of O2 produced= 7.5 moles KClO4×2 moles O21 moles KClO4=15 moles of O2
e) 15 moles of O2.
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