Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
To determine which of the given equations is balanced, we must ensure that the number of each type of atom on the reactants side is equal to the number of the same type of atom on the products side. Let's analyze each equation step by step.
1. [tex]\(2 \text{Al} + 3 \text{O}_2 \rightarrow \text{Al}_2 \text{O}_3\)[/tex]
- Reactants:
- Aluminum: [tex]\(2 \text{Al}\)[/tex]
- Oxygen: [tex]\(3 \text{O}_2 = 3 \times 2 = 6 \text{O}\)[/tex]
- Products:
- Aluminum in [tex]\(\text{Al}_2 \text{O}_3\)[/tex]: [tex]\(2 \text{Al}\)[/tex]
- Oxygen in [tex]\(\text{Al}_2 \text{O}_3\)[/tex]: [tex]\(3 \text{O}\)[/tex]
Clearly, the number of oxygens is not balanced:
- Reactants: 6 O
- Products: 3 O
Thus, this equation is not balanced.
2. [tex]\(\text{N}_2 + 2 \text{H}_2 \rightarrow 2 \text{NH}_3\)[/tex]
- Reactants:
- Nitrogen: [tex]\(1 \text{N}_2 = 2 \text{N}\)[/tex]
- Hydrogen: [tex]\(2 \text{H}_2 = 2 \times 2 = 4 \text{H}\)[/tex]
- Products:
- Nitrogen in [tex]\(2 \text{NH}_3\)[/tex]: [tex]\(2 \times 1 = 2 \text{N}\)[/tex]
- Hydrogen in [tex]\(2 \text{NH}_3\)[/tex]: [tex]\(2 \times 3 = 6 \text{H}\)[/tex]
The number of hydrogen atoms is not balanced:
- Reactants: 4 H
- Products: 6 H
Thus, this equation is not balanced.
3. [tex]\(\text{CH}_4 + 3 \text{O}_2 \rightarrow \text{CO}_2 + 2 \text{H}_2 \text{O}\)[/tex]
- Reactants:
- Carbon: [tex]\(1 \text{C}\)[/tex]
- Hydrogen: [tex]\(4 \text{H}\)[/tex]
- Oxygen: [tex]\(3 \text{O}_2 = 3 \times 2 = 6 \text{O}\)[/tex]
- Products:
- Carbon in [tex]\(\text{CO}_2\)[/tex]: [tex]\(1 \text{C}\)[/tex]
- Hydrogen in [tex]\(2 \text{H}_2 \text{O}\)[/tex]: [tex]\(2 \times 2 = 4 \text{H}\)[/tex]
- Oxygen in [tex]\(\text{CO}_2 + 2 \text{H}_2 \text{O}\)[/tex]:
[tex]\(\text{CO}_2 = 2 \text{O}\)[/tex]
[tex]\(2 \text{H}_2 \text{O} = 2 \times 1 = 2 \text{O}\)[/tex]
Total Oxygen = [tex]\(1 \times 2 + 2 \times 1 = 2 + 4 = 4 \text{O}\)[/tex]
The number of oxygen atoms is not balanced:
- Reactants: 6 O
- Products: 4 O
Thus, this equation is not balanced.
4. [tex]\(2 \text{Fe}_2 \text{O}_3 + 3 \text{C} \rightarrow 4 \text{Fe} + 3 \text{CO}_2\)[/tex]
- Reactants:
- Iron: [tex]\(2 \times 2 = 4 \text{Fe}\)[/tex]
- Oxygen: [tex]\(2 \times 3 = 6 \text{O}\)[/tex]
- Carbon: [tex]\(3 \text{C}\)[/tex]
- Products:
- Iron: [tex]\(4 \text{Fe}\)[/tex]
- Oxygen in [tex]\(3 \text{CO}_2\)[/tex]:
[tex]\(3 \times 2 = 6 \text{O}\)[/tex]
- Carbon in [tex]\(3 \text{CO}_2\)[/tex]:
[tex]\(3 \times 1 = 3 \text{C}\)[/tex]
Here, the counts match perfectly:
- Iron: 4 Fe = 4 Fe
- Oxygen: 6 O = 6 O
- Carbon: 3 C = 3 C
This equation is balanced.
Thus, the only balanced equation among the options is:
[tex]\[ 2 \text{Fe}_2 \text{O}_3 + 3 \text{C} \rightarrow 4 \text{Fe} + 3 \text{CO}_2 \][/tex]
Therefore, the correct answer is 4.
1. [tex]\(2 \text{Al} + 3 \text{O}_2 \rightarrow \text{Al}_2 \text{O}_3\)[/tex]
- Reactants:
- Aluminum: [tex]\(2 \text{Al}\)[/tex]
- Oxygen: [tex]\(3 \text{O}_2 = 3 \times 2 = 6 \text{O}\)[/tex]
- Products:
- Aluminum in [tex]\(\text{Al}_2 \text{O}_3\)[/tex]: [tex]\(2 \text{Al}\)[/tex]
- Oxygen in [tex]\(\text{Al}_2 \text{O}_3\)[/tex]: [tex]\(3 \text{O}\)[/tex]
Clearly, the number of oxygens is not balanced:
- Reactants: 6 O
- Products: 3 O
Thus, this equation is not balanced.
2. [tex]\(\text{N}_2 + 2 \text{H}_2 \rightarrow 2 \text{NH}_3\)[/tex]
- Reactants:
- Nitrogen: [tex]\(1 \text{N}_2 = 2 \text{N}\)[/tex]
- Hydrogen: [tex]\(2 \text{H}_2 = 2 \times 2 = 4 \text{H}\)[/tex]
- Products:
- Nitrogen in [tex]\(2 \text{NH}_3\)[/tex]: [tex]\(2 \times 1 = 2 \text{N}\)[/tex]
- Hydrogen in [tex]\(2 \text{NH}_3\)[/tex]: [tex]\(2 \times 3 = 6 \text{H}\)[/tex]
The number of hydrogen atoms is not balanced:
- Reactants: 4 H
- Products: 6 H
Thus, this equation is not balanced.
3. [tex]\(\text{CH}_4 + 3 \text{O}_2 \rightarrow \text{CO}_2 + 2 \text{H}_2 \text{O}\)[/tex]
- Reactants:
- Carbon: [tex]\(1 \text{C}\)[/tex]
- Hydrogen: [tex]\(4 \text{H}\)[/tex]
- Oxygen: [tex]\(3 \text{O}_2 = 3 \times 2 = 6 \text{O}\)[/tex]
- Products:
- Carbon in [tex]\(\text{CO}_2\)[/tex]: [tex]\(1 \text{C}\)[/tex]
- Hydrogen in [tex]\(2 \text{H}_2 \text{O}\)[/tex]: [tex]\(2 \times 2 = 4 \text{H}\)[/tex]
- Oxygen in [tex]\(\text{CO}_2 + 2 \text{H}_2 \text{O}\)[/tex]:
[tex]\(\text{CO}_2 = 2 \text{O}\)[/tex]
[tex]\(2 \text{H}_2 \text{O} = 2 \times 1 = 2 \text{O}\)[/tex]
Total Oxygen = [tex]\(1 \times 2 + 2 \times 1 = 2 + 4 = 4 \text{O}\)[/tex]
The number of oxygen atoms is not balanced:
- Reactants: 6 O
- Products: 4 O
Thus, this equation is not balanced.
4. [tex]\(2 \text{Fe}_2 \text{O}_3 + 3 \text{C} \rightarrow 4 \text{Fe} + 3 \text{CO}_2\)[/tex]
- Reactants:
- Iron: [tex]\(2 \times 2 = 4 \text{Fe}\)[/tex]
- Oxygen: [tex]\(2 \times 3 = 6 \text{O}\)[/tex]
- Carbon: [tex]\(3 \text{C}\)[/tex]
- Products:
- Iron: [tex]\(4 \text{Fe}\)[/tex]
- Oxygen in [tex]\(3 \text{CO}_2\)[/tex]:
[tex]\(3 \times 2 = 6 \text{O}\)[/tex]
- Carbon in [tex]\(3 \text{CO}_2\)[/tex]:
[tex]\(3 \times 1 = 3 \text{C}\)[/tex]
Here, the counts match perfectly:
- Iron: 4 Fe = 4 Fe
- Oxygen: 6 O = 6 O
- Carbon: 3 C = 3 C
This equation is balanced.
Thus, the only balanced equation among the options is:
[tex]\[ 2 \text{Fe}_2 \text{O}_3 + 3 \text{C} \rightarrow 4 \text{Fe} + 3 \text{CO}_2 \][/tex]
Therefore, the correct answer is 4.
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.
