Solid aluminum (Al)and chlorine (C1₂) gas react to form solid aluminum chloride (AIC13). Suppose you have 7.0 mol of Al and 1.0 mol of Cl₂ in a reactor. Calculate the largest amount of AlCl3 that could be produced. Round your answer to the nearest 0.1 mol. mol 1.0 X S ?
Solid aluminum (Al)and chlorine (C1₂) gas react to form solid aluminum chloride (AIC13). Suppose you have 7.0 mol of Al and 1.0 mol of Cl₂ in a reactor. Calculate the largest amount of AlCl3 that could be produced. Round your answer to the nearest 0.1 mol. mol 1.0 X S ?
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![## Chemical Reaction and Stoichiometry Problem
### Problem Statement:
Solid aluminum (Al) and chlorine (Cl₂) gas react to form solid aluminum chloride (AlCl₃). Suppose you have 7.0 mol of Al and 1.0 mol of Cl₂ in a reactor.
Calculate the largest amount of AlCl₃ that could be produced. Round your answer to the nearest 0.1 mol.
### Input Fields:
- A text box labeled "mol" for entering the answer.
### Interactive Elements:
- A small input dialog box featuring a checkbox for some function (labeled with a "10^n" symbol, potentially indicating scientific notation).
- Buttons for multiplication (×), backspace (⟲), and a help button (?).
### Bottom Navigation:
- Buttons labeled "Explanation" and "Check" for navigating through the problem-solving process.
### Detailed Diagram/Calculation Instructions:
To solve the problem, we must use stoichiometry based on the balanced chemical equation:
\[ 2 Al(s) + 3 Cl_2(g) \rightarrow 2 AlCl_3(s) \]
From the balanced equation, we can deduce the mole ratios:
- 2 moles of Al reacts with 3 moles of Cl₂ to produce 2 moles of AlCl₃.
Given:
- 7.0 moles of Al
- 1.0 moles of Cl₂
**Step-by-Step Solution:**
1. **Determine the Limiting Reactant:**
- Calculate the amount of Cl₂ needed to react with 7.0 moles of Al:
\[ 7.0 \text{ moles Al} \times \frac{3 \text{ moles Cl}_2}{2 \text{ moles Al}} = 10.5 \text{ moles Cl}_2 \]
- We only have 1.0 mole of Cl₂.
Since we need 10.5 moles of Cl₂ but only have 1.0 mole, Cl₂ is the limiting reactant.
2. **Calculate the Amount of AlCl₃ Produced:**
- Using the mole ratio between Cl₂ and AlCl₃ from the balanced equation:
\[ 1.0 \text{ moles Cl}_2 \times \frac{2 \text{ moles AlCl}_3}{3 \text{ moles Cl](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F621954ed-ec20-4c07-b25b-e8811e0f0e49%2Fc1c412b4-517b-4afc-9ba6-acc65fc91834%2Fn12vaz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Chemical Reaction and Stoichiometry Problem
### Problem Statement:
Solid aluminum (Al) and chlorine (Cl₂) gas react to form solid aluminum chloride (AlCl₃). Suppose you have 7.0 mol of Al and 1.0 mol of Cl₂ in a reactor.
Calculate the largest amount of AlCl₃ that could be produced. Round your answer to the nearest 0.1 mol.
### Input Fields:
- A text box labeled "mol" for entering the answer.
### Interactive Elements:
- A small input dialog box featuring a checkbox for some function (labeled with a "10^n" symbol, potentially indicating scientific notation).
- Buttons for multiplication (×), backspace (⟲), and a help button (?).
### Bottom Navigation:
- Buttons labeled "Explanation" and "Check" for navigating through the problem-solving process.
### Detailed Diagram/Calculation Instructions:
To solve the problem, we must use stoichiometry based on the balanced chemical equation:
\[ 2 Al(s) + 3 Cl_2(g) \rightarrow 2 AlCl_3(s) \]
From the balanced equation, we can deduce the mole ratios:
- 2 moles of Al reacts with 3 moles of Cl₂ to produce 2 moles of AlCl₃.
Given:
- 7.0 moles of Al
- 1.0 moles of Cl₂
**Step-by-Step Solution:**
1. **Determine the Limiting Reactant:**
- Calculate the amount of Cl₂ needed to react with 7.0 moles of Al:
\[ 7.0 \text{ moles Al} \times \frac{3 \text{ moles Cl}_2}{2 \text{ moles Al}} = 10.5 \text{ moles Cl}_2 \]
- We only have 1.0 mole of Cl₂.
Since we need 10.5 moles of Cl₂ but only have 1.0 mole, Cl₂ is the limiting reactant.
2. **Calculate the Amount of AlCl₃ Produced:**
- Using the mole ratio between Cl₂ and AlCl₃ from the balanced equation:
\[ 1.0 \text{ moles Cl}_2 \times \frac{2 \text{ moles AlCl}_3}{3 \text{ moles Cl
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