Find the best answers to your questions with the help of IDNLearn.com's knowledgeable users. Discover prompt and accurate responses from our experts, ensuring you get the information you need quickly.
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]
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.
