Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
To solve the problem of balancing the given unbalanced chemical equation [tex]\( \text{CO}_2 + \text{C} \rightarrow \text{CO} \)[/tex]:
We need to ensure that the number of each type of atom on the reactants side is equal to the number on the products side. Let's analyze each option given:
Option A: [tex]\( \text{CO}_2 + \text{C} \rightarrow 2 \text{CO} \)[/tex]
- Reactants:
- Carbon (C): [tex]\(1 \text{ C from CO}_2 + 1 \text{ C from C} = 2 \text{ C atoms}\)[/tex]
- Oxygen (O): [tex]\(2 \text{ O atoms from CO}_2\)[/tex]
- Products:
- Carbon (C): [tex]\(2 \text{ C atoms from 2 CO}\)[/tex]
- Oxygen (O): [tex]\(2 \text{ O atoms from 2 CO}\)[/tex]
Both sides have 2 carbon atoms and 2 oxygen atoms. Thus, this equation is balanced.
Option B: [tex]\(2 \text{CO}_2 + \text{C} \rightarrow \text{CO} \)[/tex]
- Reactants:
- Carbon (C): [tex]\(2 \text{ C atoms from 2 CO}_2 + 1 \text{ C from C} = 3 \text{ C atoms}\)[/tex]
- Oxygen (O): [tex]\(2 \text{ CO}_2 \cdot 2 = 4 \text{ O atoms}\)[/tex]
- Products:
- Carbon (C): [tex]\(1 \text{ C atom from CO}\)[/tex]
- Oxygen (O): [tex]\(1 \text{ O atom from CO}\)[/tex]
The number of carbon and oxygen atoms are not balanced. Thus, this equation is not balanced.
Option C: [tex]\( \text{CO}_2 + \text{C} \rightarrow \text{C}_2\text{O} \)[/tex]
- Reactants:
- Carbon (C): [tex]\(1 \text{ C from CO}_2 + 1 \text{ C from C} = 2 \text{ C atoms}\)[/tex]
- Oxygen (O): [tex]\(2 \text{ O atoms from CO}_2\)[/tex]
- Products:
- Carbon (C): [tex]\(2 \text{ C atoms from C}_2\text{O}\)[/tex]
- Oxygen (O): [tex]\(1 \text{ O atom from C}_2\text{O}\)[/tex]
The number of oxygen atoms are not balanced. Thus, this equation is not balanced.
Option D: [tex]\( \text{CO}_2 + \text{C}_2 \rightarrow \text{CO} \)[/tex]
- Reactants:
- Carbon (C): [tex]\(1 \text{ C from CO}_2 + 2 \text{ C atoms from C}_2 = 3 \text{ C atoms}\)[/tex]
- Oxygen (O): [tex]\(2 \text{ O atoms from CO}_2\)[/tex]
- Products:
- Carbon (C): [tex]\(1 \text{ C atom from CO}\)[/tex]
- Oxygen (O): [tex]\(1 \text{ O atom from CO}\)[/tex]
The number of carbon and oxygen atoms are not balanced. Thus, this equation is not balanced.
After examining all options, we conclude that:
The correct balanced form of the equation is:
Option A: [tex]\( \text{CO}_2 + \text{C} \rightarrow 2 \text{CO} \)[/tex]
We need to ensure that the number of each type of atom on the reactants side is equal to the number on the products side. Let's analyze each option given:
Option A: [tex]\( \text{CO}_2 + \text{C} \rightarrow 2 \text{CO} \)[/tex]
- Reactants:
- Carbon (C): [tex]\(1 \text{ C from CO}_2 + 1 \text{ C from C} = 2 \text{ C atoms}\)[/tex]
- Oxygen (O): [tex]\(2 \text{ O atoms from CO}_2\)[/tex]
- Products:
- Carbon (C): [tex]\(2 \text{ C atoms from 2 CO}\)[/tex]
- Oxygen (O): [tex]\(2 \text{ O atoms from 2 CO}\)[/tex]
Both sides have 2 carbon atoms and 2 oxygen atoms. Thus, this equation is balanced.
Option B: [tex]\(2 \text{CO}_2 + \text{C} \rightarrow \text{CO} \)[/tex]
- Reactants:
- Carbon (C): [tex]\(2 \text{ C atoms from 2 CO}_2 + 1 \text{ C from C} = 3 \text{ C atoms}\)[/tex]
- Oxygen (O): [tex]\(2 \text{ CO}_2 \cdot 2 = 4 \text{ O atoms}\)[/tex]
- Products:
- Carbon (C): [tex]\(1 \text{ C atom from CO}\)[/tex]
- Oxygen (O): [tex]\(1 \text{ O atom from CO}\)[/tex]
The number of carbon and oxygen atoms are not balanced. Thus, this equation is not balanced.
Option C: [tex]\( \text{CO}_2 + \text{C} \rightarrow \text{C}_2\text{O} \)[/tex]
- Reactants:
- Carbon (C): [tex]\(1 \text{ C from CO}_2 + 1 \text{ C from C} = 2 \text{ C atoms}\)[/tex]
- Oxygen (O): [tex]\(2 \text{ O atoms from CO}_2\)[/tex]
- Products:
- Carbon (C): [tex]\(2 \text{ C atoms from C}_2\text{O}\)[/tex]
- Oxygen (O): [tex]\(1 \text{ O atom from C}_2\text{O}\)[/tex]
The number of oxygen atoms are not balanced. Thus, this equation is not balanced.
Option D: [tex]\( \text{CO}_2 + \text{C}_2 \rightarrow \text{CO} \)[/tex]
- Reactants:
- Carbon (C): [tex]\(1 \text{ C from CO}_2 + 2 \text{ C atoms from C}_2 = 3 \text{ C atoms}\)[/tex]
- Oxygen (O): [tex]\(2 \text{ O atoms from CO}_2\)[/tex]
- Products:
- Carbon (C): [tex]\(1 \text{ C atom from CO}\)[/tex]
- Oxygen (O): [tex]\(1 \text{ O atom from CO}\)[/tex]
The number of carbon and oxygen atoms are not balanced. Thus, this equation is not balanced.
After examining all options, we conclude that:
The correct balanced form of the equation is:
Option A: [tex]\( \text{CO}_2 + \text{C} \rightarrow 2 \text{CO} \)[/tex]
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.