Mg²+ + Cl₂ + 2NaHCO3 → MgCO3 + 2NaCl + H₂O + CO₂ If the reaction makes 0.005g of MgCO3 then about how many grams of Mg was in the water? (Show your work)

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### Chemical Reaction Problem

**Reaction Equation:**
\[ \text{Mg}^{2+} + \text{Cl}_2 + 2\text{NaHCO}_3 \rightarrow \text{MgCO}_3 + 2\text{NaCl} + \text{H}_2\text{O} + \text{CO}_2 \]

**Question:**
If the reaction produces 0.005g of MgCO₃, then about how many grams of Mg were in the water? (Show your work)

### Solution Steps:
1. **Determine the molar mass of MgCO₃:**
   - Magnesium (Mg): 24.305 g/mol
   - Carbon (C): 12.011 g/mol
   - Oxygen (O): 3 × 16.00 g/mol = 48.00 g/mol
   - Total molar mass of MgCO₃: 24.305 + 12.011 + 48.00 = 84.316 g/mol

2. **Calculate the moles of MgCO₃ produced:**
   - Given mass of MgCO₃ = 0.005 g
   - Moles of MgCO₃ = (mass of MgCO₃) / (molar mass of MgCO₃)
   - Moles of MgCO₃ = 0.005 g / 84.316 g/mol ≈ 5.93 × 10⁻⁵ mol

3. **Determine the moles of Mg:**
   - From the balanced chemical equation, 1 mole of MgCO₃ is produced from 1 mole of Mg.
   - Therefore, moles of Mg = moles of MgCO₃ = 5.93 × 10⁻⁵ mol

4. **Calculate the mass of Mg:**
   - Molar mass of Mg = 24.305 g/mol
   - Mass of Mg = (moles of Mg) × (molar mass of Mg)
   - Mass of Mg = 5.93 × 10⁻⁵ mol × 24.305 g/mol ≈ 1.44 × 10⁻³ g

**Answer:**
Approximately 0.00144 grams of Mg was in the water.
Transcribed Image Text:### Chemical Reaction Problem **Reaction Equation:** \[ \text{Mg}^{2+} + \text{Cl}_2 + 2\text{NaHCO}_3 \rightarrow \text{MgCO}_3 + 2\text{NaCl} + \text{H}_2\text{O} + \text{CO}_2 \] **Question:** If the reaction produces 0.005g of MgCO₃, then about how many grams of Mg were in the water? (Show your work) ### Solution Steps: 1. **Determine the molar mass of MgCO₃:** - Magnesium (Mg): 24.305 g/mol - Carbon (C): 12.011 g/mol - Oxygen (O): 3 × 16.00 g/mol = 48.00 g/mol - Total molar mass of MgCO₃: 24.305 + 12.011 + 48.00 = 84.316 g/mol 2. **Calculate the moles of MgCO₃ produced:** - Given mass of MgCO₃ = 0.005 g - Moles of MgCO₃ = (mass of MgCO₃) / (molar mass of MgCO₃) - Moles of MgCO₃ = 0.005 g / 84.316 g/mol ≈ 5.93 × 10⁻⁵ mol 3. **Determine the moles of Mg:** - From the balanced chemical equation, 1 mole of MgCO₃ is produced from 1 mole of Mg. - Therefore, moles of Mg = moles of MgCO₃ = 5.93 × 10⁻⁵ mol 4. **Calculate the mass of Mg:** - Molar mass of Mg = 24.305 g/mol - Mass of Mg = (moles of Mg) × (molar mass of Mg) - Mass of Mg = 5.93 × 10⁻⁵ mol × 24.305 g/mol ≈ 1.44 × 10⁻³ g **Answer:** Approximately 0.00144 grams of Mg was in the water.
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