If 30.0 mL of 0.150 M CaCl2 is added to 15.0 mL of 0.100 M AgNO3, what is the mass in grams of AgCl th recipitates? Express your answer in decimal notation rounded to three significant figures. CaCl₂(aq) + 2AgNO3 (aq) → 2AgCl(s) + Ca(NO3)2(aq) MM of AgCl = 143.5 g/mol

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### Precipitation Reaction: Calculating the Mass of AgCl Formed

#### Problem Statement:
If 30.0 mL of 0.150 M CaCl₂ is added to 15.0 mL of 0.100 M AgNO₃, what is the mass in grams of AgCl that precipitates? Express your answer in decimal notation rounded to three significant figures.

#### Reaction Equation:
\[ \text{CaCl}_2(\text{aq}) + 2\text{AgNO}_3 (\text{aq}) \rightarrow 2\text{AgCl}(\text{s}) + \text{Ca(NO}_3\text{)}_2(\text{aq}) \]

#### Molar Mass:
Molecular Mass (MM) of AgCl = 143.5 g/mol

### Steps:

1. **Calculate the moles of each reactant:**
    - Moles of CaCl₂: \( \frac{0.0300 \text{ L} \times 0.150 \text{ M}} = 0.00450 \text{ moles} \)
    - Moles of AgNO₃: \( \frac{0.0150 \text{ L} \times 0.100 \text{ M}} = 0.00150 \text{ moles} \)
  
2. **Determine the limiting reactant:**
    - From the balanced equation: 1 mole of CaCl₂ reacts with 2 moles of AgNO₃.
    - Required moles of AgNO₃ for 0.00450 moles of CaCl₂:
      \( 0.00450 \text{ moles} \times 2 = 0.00900 \text{ moles} \)
    - Since we only have 0.00150 moles of AgNO₃, AgNO₃ is the limiting reactant.

3. **Calculate the moles of AgCl produced:**
   - From the balanced equation, 2 moles of AgNO₃ produce 2 moles of AgCl.
   - Therefore, 0.00150 moles of AgNO₃ will produce 0.00150 moles of AgCl.

4. **Calculate the mass of AgCl precipitated:**
    - Mass of AgCl = moles of AgCl × molar mass of AgCl
Transcribed Image Text:### Precipitation Reaction: Calculating the Mass of AgCl Formed #### Problem Statement: If 30.0 mL of 0.150 M CaCl₂ is added to 15.0 mL of 0.100 M AgNO₃, what is the mass in grams of AgCl that precipitates? Express your answer in decimal notation rounded to three significant figures. #### Reaction Equation: \[ \text{CaCl}_2(\text{aq}) + 2\text{AgNO}_3 (\text{aq}) \rightarrow 2\text{AgCl}(\text{s}) + \text{Ca(NO}_3\text{)}_2(\text{aq}) \] #### Molar Mass: Molecular Mass (MM) of AgCl = 143.5 g/mol ### Steps: 1. **Calculate the moles of each reactant:** - Moles of CaCl₂: \( \frac{0.0300 \text{ L} \times 0.150 \text{ M}} = 0.00450 \text{ moles} \) - Moles of AgNO₃: \( \frac{0.0150 \text{ L} \times 0.100 \text{ M}} = 0.00150 \text{ moles} \) 2. **Determine the limiting reactant:** - From the balanced equation: 1 mole of CaCl₂ reacts with 2 moles of AgNO₃. - Required moles of AgNO₃ for 0.00450 moles of CaCl₂: \( 0.00450 \text{ moles} \times 2 = 0.00900 \text{ moles} \) - Since we only have 0.00150 moles of AgNO₃, AgNO₃ is the limiting reactant. 3. **Calculate the moles of AgCl produced:** - From the balanced equation, 2 moles of AgNO₃ produce 2 moles of AgCl. - Therefore, 0.00150 moles of AgNO₃ will produce 0.00150 moles of AgCl. 4. **Calculate the mass of AgCl precipitated:** - Mass of AgCl = moles of AgCl × molar mass of AgCl
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