What mass of precipitate (in g) is formed when 45.5 mL of 0.300 M Na3PO4 reacts with 58.0 mL of 0.200 M Cr(NO3)3 in the following chemical reaction? Na3PO4 (aq) + Cr(NO3)3(aq) CrPO4(s) + 3 NaNO3(aq)

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**Stoichiometry Problem: Calculating Mass of Precipitate**

**Question:**  
What mass of precipitate (in grams) is formed when 45.5 mL of 0.300 M Na₃PO₄ reacts with 58.0 mL of 0.200 M Cr(NO₃)₃ in the following chemical reaction?

\[
\text{Na}_3\text{PO}_4 (\text{aq}) + \text{Cr}(\text{NO}_3)_3 (\text{aq}) \rightarrow \text{CrPO}_4 (\text{s}) + 3 \text{NaNO}_3 (\text{aq})
\]

**Solution:**

1. **Determine the moles of each reactant:**
   - Na₃PO₄: \( 45.5 \, \text{mL} \times 0.300 \, \text{mol/L} = 0.01365 \, \text{mol} \)
   - Cr(NO₃)₃: \( 58.0 \, \text{mL} \times 0.200 \, \text{mol/L} = 0.0116 \, \text{mol} \)

2. **Identify the limiting reactant:**
   - From the balanced equation, the mole ratio of Na₃PO₄ to CrPO₄ is 1:1.
   - Cr(NO₃)₃ has fewer moles, so it is the limiting reactant.

3. **Calculate the mass of CrPO₄ (precipitate):**
   - Moles of CrPO₄ produced = 0.0116 mol (from Cr(NO₃)₃)
   - Molar mass of CrPO₄ = 146.00 g/mol
   - Mass = moles × molar mass = 0.0116 mol × 146.00 g/mol = 1.6936 g

Therefore, 1.6936 grams of CrPO₄ precipitate are formed.

**Note:** Remember to always verify the stoichiometry and the limiting reactant when performing calculations involving chemical reactions.
Transcribed Image Text:**Stoichiometry Problem: Calculating Mass of Precipitate** **Question:** What mass of precipitate (in grams) is formed when 45.5 mL of 0.300 M Na₃PO₄ reacts with 58.0 mL of 0.200 M Cr(NO₃)₃ in the following chemical reaction? \[ \text{Na}_3\text{PO}_4 (\text{aq}) + \text{Cr}(\text{NO}_3)_3 (\text{aq}) \rightarrow \text{CrPO}_4 (\text{s}) + 3 \text{NaNO}_3 (\text{aq}) \] **Solution:** 1. **Determine the moles of each reactant:** - Na₃PO₄: \( 45.5 \, \text{mL} \times 0.300 \, \text{mol/L} = 0.01365 \, \text{mol} \) - Cr(NO₃)₃: \( 58.0 \, \text{mL} \times 0.200 \, \text{mol/L} = 0.0116 \, \text{mol} \) 2. **Identify the limiting reactant:** - From the balanced equation, the mole ratio of Na₃PO₄ to CrPO₄ is 1:1. - Cr(NO₃)₃ has fewer moles, so it is the limiting reactant. 3. **Calculate the mass of CrPO₄ (precipitate):** - Moles of CrPO₄ produced = 0.0116 mol (from Cr(NO₃)₃) - Molar mass of CrPO₄ = 146.00 g/mol - Mass = moles × molar mass = 0.0116 mol × 146.00 g/mol = 1.6936 g Therefore, 1.6936 grams of CrPO₄ precipitate are formed. **Note:** Remember to always verify the stoichiometry and the limiting reactant when performing calculations involving chemical reactions.
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