Mole Ratios Worksheet with Answers - Chemistry | Exercises ... - Free Printable

Problem Analysis and Solution Explanation

The worksheet provided involves mole ratio calculations based on balanced chemical equations. Let's solve each part step by step.

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#### Problem 1:
Given the equation:
\[
\text{N}_2 + 3\text{H}_2 \rightarrow 2\text{NH}_3
\]
Write the following molar ratios:

##### a) N₂ / H₂
From the balanced equation, 1 mole of N₂ reacts with 3 moles of H₂. Therefore, the molar ratio is:
\[
\boxed{1:3}
\]

##### b) N₂ / NH₃
From the balanced equation, 1 mole of N₂ produces 2 moles of NH₃. Therefore, the molar ratio is:
\[
\boxed{1:2}
\]

##### c) H₂ / NH₃
From the balanced equation, 3 moles of H₂ produce 2 moles of NH₃. Therefore, the molar ratio is:
\[
\boxed{3:2}
\]

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#### Problem 2:
Given the equation:
\[
8\text{H}_2 + \text{S}_8 \rightarrow 8\text{H}_2\text{S}
\]
Write the following molar ratios:

##### a) H₂ / H₂S
From the balanced equation, 8 moles of H₂ produce 8 moles of H₂S. The molar ratio is:
\[
8:8 \quad \text{(which simplifies to)} \quad \boxed{1:1}
\]

##### b) H₂ / S₈
From the balanced equation, 8 moles of H₂ react with 1 mole of S₈. Therefore, the molar ratio is:
\[
\boxed{8:1}
\]

##### c) H₂S / S₈
From the balanced equation, 8 moles of H₂S are produced from 1 mole of S₈. Therefore, the molar ratio is:
\[
\boxed{8:1}
\]

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#### Problem 3:
Given the equation:
\[
2\text{H}_2 + \text{O}_2 \rightarrow 2\text{H}_2\text{O}
\]
Answer the following questions:

##### a) What is the H₂ / H₂O molar ratio?
From the balanced equation, 2 moles of H₂ produce 2 moles of H₂O. The molar ratio is:
\[
2:2 \quad \text{(which simplifies to)} \quad \boxed{1:1}
\]

##### b) Suppose you had 20 moles of H₂ on hand and plenty of O₂, how many moles of H₂O could you make?
From the balanced equation, 2 moles of H₂ produce 2 moles of H₂O. Therefore, 20 moles of H₂ will produce:
\[
\frac{20 \text{ moles H}_2}{2} \times 2 = 20 \text{ moles H}_2\text{O}
\]
\[
\boxed{20}
\]

##### c) What is the O₂ / H₂O molar ratio?
From the balanced equation, 1 mole of O₂ produces 2 moles of H₂O. Therefore, the molar ratio is:
\[
\boxed{1:2}
\]

##### d) Suppose you had 20 moles of O₂ and enough H₂, how many moles of H₂O could you make?
From the balanced equation, 1 mole of O₂ produces 2 moles of H₂O. Therefore, 20 moles of O₂ will produce:
\[
20 \text{ moles O}_2 \times 2 = 40 \text{ moles H}_2\text{O}
\]
\[
\boxed{40}
\]

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#### Problem 4:
Given the equation:
\[
\text{N}_2 + 3\text{H}_2 \rightarrow 2\text{NH}_3
\]
Solve the following problems:

##### a) If you used 1 mole of N₂, how many moles of NH₃ could be produced?
From the balanced equation, 1 mole of N₂ produces 2 moles of NH₃. Therefore:
\[
\boxed{2}
\]

##### b) If 10 moles of NH₃ were produced, how many moles of N₂ would be required?
From the balanced equation, 2 moles of NH₃ are produced from 1 mole of N₂. Therefore, 10 moles of NH₃ require:
\[
\frac{10 \text{ moles NH}_3}{2} \times 1 = 5 \text{ moles N}_2
\]
\[
\boxed{5}
\]

##### c) If 3.00 moles of H₂ were used, how many moles of NH₃ would be made?
From the balanced equation, 3 moles of H₂ produce 2 moles of NH₃. Therefore, 3.00 moles of H₂ will produce:
\[
\frac{3.00 \text{ moles H}_2}{3} \times 2 = 2.00 \text{ moles NH}_3
\]
\[
\boxed{2.00}
\]

##### d) If 0.600 moles of NH₃ were produced, how many moles of H₂ are required?
From the balanced equation, 2 moles of NH₃ are produced from 3 moles of H₂. Therefore, 0.600 moles of NH₃ require:
\[
\frac{0.600 \text{ moles NH}_3}{2} \times 3 = 0.900 \text{ moles H}_2
\]
\[
\boxed{0.900}
\]

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Final Answers:

1. a) \( \boxed{1:3} \)
b) \( \boxed{1:2} \)
c) \( \boxed{3:2} \)

2. a) \( \boxed{1:1} \)
b) \( \boxed{8:1} \)
c) \( \boxed{8:1} \)

3. a) \( \boxed{1:1} \)
b) \( \boxed{20} \)
c) \( \boxed{1:2} \)
d) \( \boxed{40} \)

4. a) \( \boxed{2} \)
b) \( \boxed{5} \)
c) \( \boxed{2.00} \)
d) \( \boxed{0.900} \)

\boxed{All \ answers \ are \ consistent \ with \ the \ provided \ solutions.}