What mass of precipitate (in g) is formed when 45.5 mL of 0.300 M NasPO4 reacts with 42.5 mL of 0.200 M Cr(NOs)s in the following chemical reaction? NasPO«(aq) + Cr(NOs):(aq) → CIPO«(s) + 3 NaNO:(aq) |

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### Chemical Reaction and Precipitation Calculation

**Problem Statement**

What mass of precipitate (in g) is formed when 45.5 mL of 0.300 M Na₃PO₄ reacts with 42.5 mL of 0.200 M Cr(NO₃)₃ in the following chemical reaction?

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

**Explanation**

In this balanced chemical equation, sodium phosphate \((\text{Na}_3\text{PO}_4)\) reacts with chromium(III) nitrate \((\text{Cr(NO}_3\text{)}_3)\) to form chromium(III) phosphate \((\text{CrPO}_4)\) as a solid precipitate and sodium nitrate \((\text{NaNO}_3)\) in aqueous solution.

To find the mass of the \(\text{CrPO}_4\) precipitate, follow these steps:

1. **Calculate moles of reactants:**
   - Moles of \(\text{Na}_3\text{PO}_4 = \text{Volume (L)} \times \text{Molarity (M)}\)
   - Moles of \(\text{Cr(NO}_3\text{)}_3 = \text{Volume (L)} \times \text{Molarity (M)}\)

2. **Determine the limiting reactant:**
   - Use stoichiometry from the balanced equation to find which reactant forms less \(\text{CrPO}_4\).

3. **Calculate theoretical yield of \(\text{CrPO}_4\):**
   - Use the moles of the limiting reactant to determine the moles of \(\text{CrPO}_4\).
   - Convert moles of \(\text{CrPO}_4\) to grams using its molar mass.

This approach helps understand how reactants yield a solid product in a precipitation reaction.
Transcribed Image Text:### Chemical Reaction and Precipitation Calculation **Problem Statement** What mass of precipitate (in g) is formed when 45.5 mL of 0.300 M Na₃PO₄ reacts with 42.5 mL of 0.200 M Cr(NO₃)₃ in the following chemical reaction? \[ \text{Na}_3\text{PO}_4(aq) + \text{Cr(NO}_3\text{)}_3(aq) \rightarrow \text{CrPO}_4(s) + 3 \text{NaNO}_3(aq) \] **Explanation** In this balanced chemical equation, sodium phosphate \((\text{Na}_3\text{PO}_4)\) reacts with chromium(III) nitrate \((\text{Cr(NO}_3\text{)}_3)\) to form chromium(III) phosphate \((\text{CrPO}_4)\) as a solid precipitate and sodium nitrate \((\text{NaNO}_3)\) in aqueous solution. To find the mass of the \(\text{CrPO}_4\) precipitate, follow these steps: 1. **Calculate moles of reactants:** - Moles of \(\text{Na}_3\text{PO}_4 = \text{Volume (L)} \times \text{Molarity (M)}\) - Moles of \(\text{Cr(NO}_3\text{)}_3 = \text{Volume (L)} \times \text{Molarity (M)}\) 2. **Determine the limiting reactant:** - Use stoichiometry from the balanced equation to find which reactant forms less \(\text{CrPO}_4\). 3. **Calculate theoretical yield of \(\text{CrPO}_4\):** - Use the moles of the limiting reactant to determine the moles of \(\text{CrPO}_4\). - Convert moles of \(\text{CrPO}_4\) to grams using its molar mass. This approach helps understand how reactants yield a solid product in a precipitation reaction.
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