3. Potassium chlorate is the prime ingredient in most Chinese fireworks. If I have 25 grams of potassium chlorate, how many moles of oxygen can I produce?

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### Chemical Stoichiometry Problem

**Question 3:**

Potassium chlorate (KClO₃) is the prime ingredient in most Chinese fireworks. If you have 25 grams of potassium chlorate, how many moles of oxygen gas (O₂) can be produced?

#### Solution Explanation:

To solve this problem, follow these steps:

1. **Find the Molar Mass of Potassium Chlorate (KClO₃):**
   - Potassium (K): 39.10 g/mol
   - Chlorine (Cl): 35.45 g/mol
   - Oxygen (O): 16.00 g/mol each, and there are 3 oxygen atoms
   - Molar mass of KClO₃ = 39.10 + 35.45 + (3 × 16.00) = 122.55 g/mol

2. **Convert Grams to Moles:**
   Use the molar mass to convert the mass of potassium chlorate to moles:
   \[
   \text{Moles of KClO₃} = \frac{\text{Mass (g)}}{\text{Molar mass (g/mol)}} = \frac{25 \, \text{grams}}{122.55 \, \text{g/mol}} \approx 0.204 \, \text{moles}
   \]

3. **Chemical Equation:**
   The decomposition reaction for potassium chlorate is:
   \[
   2 KClO₃ (s) \rightarrow 2 KCl (s) + 3 O₂ (g)
   \]
   According to the balanced chemical equation, 2 moles of potassium chlorate produce 3 moles of oxygen gas.

4. **Determine the Moles of Oxygen:**
   From the balanced equation:
   \[
   \text{Moles of O₂} = 0.204 \, \text{moles KClO₃} \times \frac{3 \, \text{moles O₂}}{2 \, \text{moles KClO₃}} = 0.306 \, \text{moles O₂}
   \]

   Therefore, 25 grams of potassium chlorate can produce approximately 0.306 moles of oxygen gas.
Transcribed Image Text:### Chemical Stoichiometry Problem **Question 3:** Potassium chlorate (KClO₃) is the prime ingredient in most Chinese fireworks. If you have 25 grams of potassium chlorate, how many moles of oxygen gas (O₂) can be produced? #### Solution Explanation: To solve this problem, follow these steps: 1. **Find the Molar Mass of Potassium Chlorate (KClO₃):** - Potassium (K): 39.10 g/mol - Chlorine (Cl): 35.45 g/mol - Oxygen (O): 16.00 g/mol each, and there are 3 oxygen atoms - Molar mass of KClO₃ = 39.10 + 35.45 + (3 × 16.00) = 122.55 g/mol 2. **Convert Grams to Moles:** Use the molar mass to convert the mass of potassium chlorate to moles: \[ \text{Moles of KClO₃} = \frac{\text{Mass (g)}}{\text{Molar mass (g/mol)}} = \frac{25 \, \text{grams}}{122.55 \, \text{g/mol}} \approx 0.204 \, \text{moles} \] 3. **Chemical Equation:** The decomposition reaction for potassium chlorate is: \[ 2 KClO₃ (s) \rightarrow 2 KCl (s) + 3 O₂ (g) \] According to the balanced chemical equation, 2 moles of potassium chlorate produce 3 moles of oxygen gas. 4. **Determine the Moles of Oxygen:** From the balanced equation: \[ \text{Moles of O₂} = 0.204 \, \text{moles KClO₃} \times \frac{3 \, \text{moles O₂}}{2 \, \text{moles KClO₃}} = 0.306 \, \text{moles O₂} \] Therefore, 25 grams of potassium chlorate can produce approximately 0.306 moles of oxygen gas.
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