Introduction to Stoichiometry
Types of Conversions
- Mole-to-Mole Conversion: Convert moles of substance A to moles of substance B using the mole ratio from the balanced equation.
- Mole-to-Gram or Gram-to-Mole Conversion: Convert moles of substance A to grams of substance B or grams of substance A to moles of substance B.
- Gram-to-Gram Conversion: Convert grams of substance A to grams of substance B, involving three steps.
Problem Examples
Problem 1: Sulfur Dioxide and Oxygen Reaction
- Reaction: [\text{SO}_2 + \text{O}_2 \rightarrow \text{SO}_3]
- Balanced Equation: [2\text{SO}_2 + \text{O}_2 \rightarrow 2\text{SO}_3]
- Example A: Convert 3.4 moles of (\text{SO}_2) to moles of (\text{SO}_3).
- Mole ratio: 2:2, answer = 3.4 moles (\text{SO}_3).
- Example B: Convert 4.7 moles of (\text{SO}_2) to moles of (\text{O}_2).
- Mole ratio: 2:1, answer = 2.35 moles (\text{O}_2).
Problem 2: Propane and Oxygen Reaction
- Reaction: [\text{C}_3\text{H}_8 + \text{O}_2 \rightarrow \text{CO}_2 + \text{H}_2\text{O}]
- Balanced Equation: [\text{C}_3\text{H}_8 + 5\text{O}_2 \rightarrow 3\text{CO}_2 + 4\text{H}_2\text{O}]
- Example A: Convert 2.8 moles of propane to grams of (\text{CO}_2).
- Steps: Convert moles (\text{C}_3\text{H}_8) to moles (\text{CO}_2), then moles (\text{CO}_2) to grams.
- Answer: 369.5 grams (\text{CO}_2).
- Example B: Convert 3.8 moles of propane to grams of (\text{O}_2).
- Steps: Convert to moles (\text{O}_2), then to grams.
- Answer: 608 grams (\text{O}_2).
- Example C: Convert 25 grams of (\text{C}_3\text{H}_8) to moles of (\text{H}_2\text{O}).
- Answer: 2.27 moles (\text{H}_2\text{O}).
- Example D: Convert 38 grams of (\text{H}_2\text{O}) to moles of (\text{CO}_2).
- Answer: 1.58 moles (\text{CO}_2).
Problem 3: Aluminum and Chlorine Reaction
- Reaction: [\text{Al} + \text{Cl}_2 \rightarrow \text{AlCl}_3]
- Balanced Equation: [2\text{Al} + 3\text{Cl}_2 \rightarrow 2\text{AlCl}_3]
- Example A: Convert 35 grams of aluminum to grams of (\text{AlCl}_3).
- Steps: Grams to moles, moles of (\text{AlCl}_3), moles to grams.
- Answer: 172.96 grams (\text{AlCl}_3).
- Example B: Convert 42.8 grams of aluminum to grams of (\text{Cl}_2).
- Steps: Grams to moles (\text{Al}), moles (\text{Cl}_2), moles to grams.
- Answer: 168.75 grams (\text{Cl}_2).
Key Concepts
- Mole Ratios: Derived from coefficients in balanced equations, used to convert between substances.
- Molar Mass: Used to convert between grams and moles.
- Stoichiometry: Critical for understanding chemical reactions and conversions between different substances.
Conclusion: Understanding stoichiometry is essential for solving common chemistry problems involving conversions between moles and grams of substances.