4c) is the tricky one must have confused myself and got it wrong but I got A) and B) correct as I will attach my work in a picture below as well thank you.

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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4c) is the tricky one must have confused myself and got it wrong but I got A) and B) correct as I will attach my work in a picture below as well thank you.

### Chemical Reaction Problem Solving

**Problem Statement:**

A 50.0 mL of 0.250 M BaCl₂ solution were added to 50.0 mL of 0.160 M Al₂(SO₄)₃ solution. 

**Reaction Equation:**
\[ 3 \, \text{BaCl}_2 (\text{aq}) + 1 \, \text{Al}_2(\text{SO}_4)_3 (\text{aq}) \rightarrow 3 \, \text{BaSO}_4 (\text{s}) + 2 \, \text{AlCl}_3 (\text{aq}) \]

**(a) Determining the Limiting Reactant**

- Calculate moles of BaCl₂:
  \[
  \text{moles of BaCl}_2 = M \times V = (0.250 \, \text{M})(50.0 \times 10^{-3} \, \text{L}) = 0.0125 \, \text{mol}
  \]

- Calculate moles of Al₂(SO₄)₃:
  \[
  \text{moles of Al}_2(\text{SO}_4)_3 = M \times V = (0.160 \, \text{M})(50.0 \times 10^{-3} \, \text{L}) = 0.008 \, \text{mol}
  \]

- Compare required moles:
  \[
  \frac{1 \, \text{mol Al}_2(\text{SO}_4)_3 }{3 \, \text{mol BaCl}_2} \Rightarrow 0.0125 \, \text{mol BaCl}_2 \Rightarrow 0.0042 \, \text{mol of Al}_2(\text{SO}_4)_3
  \]

  \[
  \text{Excess of Al}_2(\text{SO}_4)_3: 0.008 \, \text{mol} - 0.0042 \, \text{mol} = 0.0038 \, \text{mol}
  \]

- **Conclusion:** BaCl₂ is the limiting reactant.

**(b) Calculating Mass of BaSO₄ (Molar Mass = 233.4 g/mol)**
Transcribed Image Text:### Chemical Reaction Problem Solving **Problem Statement:** A 50.0 mL of 0.250 M BaCl₂ solution were added to 50.0 mL of 0.160 M Al₂(SO₄)₃ solution. **Reaction Equation:** \[ 3 \, \text{BaCl}_2 (\text{aq}) + 1 \, \text{Al}_2(\text{SO}_4)_3 (\text{aq}) \rightarrow 3 \, \text{BaSO}_4 (\text{s}) + 2 \, \text{AlCl}_3 (\text{aq}) \] **(a) Determining the Limiting Reactant** - Calculate moles of BaCl₂: \[ \text{moles of BaCl}_2 = M \times V = (0.250 \, \text{M})(50.0 \times 10^{-3} \, \text{L}) = 0.0125 \, \text{mol} \] - Calculate moles of Al₂(SO₄)₃: \[ \text{moles of Al}_2(\text{SO}_4)_3 = M \times V = (0.160 \, \text{M})(50.0 \times 10^{-3} \, \text{L}) = 0.008 \, \text{mol} \] - Compare required moles: \[ \frac{1 \, \text{mol Al}_2(\text{SO}_4)_3 }{3 \, \text{mol BaCl}_2} \Rightarrow 0.0125 \, \text{mol BaCl}_2 \Rightarrow 0.0042 \, \text{mol of Al}_2(\text{SO}_4)_3 \] \[ \text{Excess of Al}_2(\text{SO}_4)_3: 0.008 \, \text{mol} - 0.0042 \, \text{mol} = 0.0038 \, \text{mol} \] - **Conclusion:** BaCl₂ is the limiting reactant. **(b) Calculating Mass of BaSO₄ (Molar Mass = 233.4 g/mol)**
**Transcription for Educational Website**

### Chemical Reaction Problem

A 50.0 mL of 0.250 M BaCl₂ solution was added to 50.0 mL of 0.160 M Al₂(SO₄)₃ solution.

#### The Reaction Equation:

\[ 3 \text{BaCl}_2 (\text{aq}) + \text{Al}_2(\text{SO}_4)_3 (\text{aq}) \rightarrow 3 \text{BaSO}_4 (\text{s}) + 2 \text{AlCl}_3 (\text{aq}) \]

**(a) What is the limiting reactant?**  
**Answer:** _______________

**(b) Calculate the mass of BaSO₄ (233.4 g/mol).**  
**Answer:** _______________

**(c) What are the molar concentrations (molarities) of the remaining ions in the solution?**  
**Answer:** _______________

### Explanation

This exercise involves determining the limiting reactant when two solutions are mixed, calculating the mass of a precipitate formed, and finding the concentrations of ions remaining in the solution after the reaction. The reaction involves barium chloride and aluminum sulfate to form barium sulfate and aluminum chloride. Each question requires understanding stoichiometry and molarity concepts.
Transcribed Image Text:**Transcription for Educational Website** ### Chemical Reaction Problem A 50.0 mL of 0.250 M BaCl₂ solution was added to 50.0 mL of 0.160 M Al₂(SO₄)₃ solution. #### The Reaction Equation: \[ 3 \text{BaCl}_2 (\text{aq}) + \text{Al}_2(\text{SO}_4)_3 (\text{aq}) \rightarrow 3 \text{BaSO}_4 (\text{s}) + 2 \text{AlCl}_3 (\text{aq}) \] **(a) What is the limiting reactant?** **Answer:** _______________ **(b) Calculate the mass of BaSO₄ (233.4 g/mol).** **Answer:** _______________ **(c) What are the molar concentrations (molarities) of the remaining ions in the solution?** **Answer:** _______________ ### Explanation This exercise involves determining the limiting reactant when two solutions are mixed, calculating the mass of a precipitate formed, and finding the concentrations of ions remaining in the solution after the reaction. The reaction involves barium chloride and aluminum sulfate to form barium sulfate and aluminum chloride. Each question requires understanding stoichiometry and molarity concepts.
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