Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
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]
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.
