Get detailed and accurate responses to your questions on IDNLearn.com. Get accurate and timely answers to your queries from our extensive network of experienced professionals.
Sagot :
To determine the balanced combustion reaction for cyclohexane ([tex]$\text{C}_6\text{H}_{12}$[/tex]), we need to ensure that the number of atoms of each element (carbon, hydrogen, and oxygen) is the same on both the reactant and product sides of the equation.
### Step-by-Step Solution:
1. Write the general formula for combustion:
Combustion of an organic compound typically involves the compound reacting with oxygen ([tex]$\text{O}_2$[/tex]), resulting in the formation of carbon dioxide ([tex]$\text{CO}_2$[/tex]) and water ([tex]$\text{H}_2\text{O}$[/tex]), along with the release of heat.
[tex]\[ \text{C}_6\text{H}_{12} + \text{O}_2 \rightarrow \text{CO}_2 + \text{H}_2\text{O} + \text{heat} \][/tex]
2. Balance the carbon atoms:
Cyclohexane has 6 carbon atoms. Therefore, we need 6 molecules of [tex]$\text{CO}_2$[/tex] to balance the carbon atoms:
[tex]\[ \text{C}_6\text{H}_{12} + \text{O}_2 \rightarrow 6 \text{CO}_2 + \text{H}_2\text{O} + \text{heat} \][/tex]
3. Balance the hydrogen atoms:
Cyclohexane has 12 hydrogen atoms. Therefore, we need 6 molecules of [tex]$\text{H}_2\text{O}$[/tex] to balance the hydrogen atoms (since each [tex]$\text{H}_2\text{O}$[/tex] molecule has 2 hydrogen atoms):
[tex]\[ \text{C}_6\text{H}_{12} + \text{O}_2 \rightarrow 6 \text{CO}_2 + 6 \text{H}_2\text{O} + \text{heat} \][/tex]
4. Balance the oxygen atoms:
- On the product side, there are 6 molecules of [tex]$\text{CO}_2$[/tex] and 6 molecules of [tex]$\text{H}_2\text{O}$[/tex].
- Each [tex]$\text{CO}_2$[/tex] molecule has 2 oxygen atoms, so 6 [tex]$\text{CO}_2$[/tex] molecules have [tex]\(6 \times 2 = 12\)[/tex] oxygen atoms.
- Each [tex]$\text{H}_2\text{O}$[/tex] molecule has 1 oxygen atom, so 6 [tex]$\text{H}_2\text{O}$[/tex] molecules have 6 oxygen atoms.
- In total, we need [tex]\(12 + 6 = 18\)[/tex] oxygen atoms on the product side.
Since each [tex]$\text{O}_2$[/tex] molecule has 2 oxygen atoms, we need [tex]\(18 \div 2 = 9\)[/tex] [tex]$\text{O}_2$[/tex] molecules:
[tex]\[ \text{C}_6\text{H}_{12} + 9 \text{O}_2 \rightarrow 6 \text{CO}_2 + 6 \text{H}_2\text{O} + \text{heat} \][/tex]
Thus, the balanced combustion reaction for cyclohexane is:
[tex]\[ \text{C}_6\text{H}_{12} + 9 \text{O}_2 \rightarrow 6 \text{CO}_2 + 6 \text{H}_2\text{O} + \text{heat} \][/tex]
Therefore, the correct answer is:
C. [tex]$\text{C}_6\text{H}_{12} + 9 \text{O}_2 \rightarrow 6 \text{CO}_2 + 6 \text{H}_2\text{O} + \text{heat}$[/tex]
### Step-by-Step Solution:
1. Write the general formula for combustion:
Combustion of an organic compound typically involves the compound reacting with oxygen ([tex]$\text{O}_2$[/tex]), resulting in the formation of carbon dioxide ([tex]$\text{CO}_2$[/tex]) and water ([tex]$\text{H}_2\text{O}$[/tex]), along with the release of heat.
[tex]\[ \text{C}_6\text{H}_{12} + \text{O}_2 \rightarrow \text{CO}_2 + \text{H}_2\text{O} + \text{heat} \][/tex]
2. Balance the carbon atoms:
Cyclohexane has 6 carbon atoms. Therefore, we need 6 molecules of [tex]$\text{CO}_2$[/tex] to balance the carbon atoms:
[tex]\[ \text{C}_6\text{H}_{12} + \text{O}_2 \rightarrow 6 \text{CO}_2 + \text{H}_2\text{O} + \text{heat} \][/tex]
3. Balance the hydrogen atoms:
Cyclohexane has 12 hydrogen atoms. Therefore, we need 6 molecules of [tex]$\text{H}_2\text{O}$[/tex] to balance the hydrogen atoms (since each [tex]$\text{H}_2\text{O}$[/tex] molecule has 2 hydrogen atoms):
[tex]\[ \text{C}_6\text{H}_{12} + \text{O}_2 \rightarrow 6 \text{CO}_2 + 6 \text{H}_2\text{O} + \text{heat} \][/tex]
4. Balance the oxygen atoms:
- On the product side, there are 6 molecules of [tex]$\text{CO}_2$[/tex] and 6 molecules of [tex]$\text{H}_2\text{O}$[/tex].
- Each [tex]$\text{CO}_2$[/tex] molecule has 2 oxygen atoms, so 6 [tex]$\text{CO}_2$[/tex] molecules have [tex]\(6 \times 2 = 12\)[/tex] oxygen atoms.
- Each [tex]$\text{H}_2\text{O}$[/tex] molecule has 1 oxygen atom, so 6 [tex]$\text{H}_2\text{O}$[/tex] molecules have 6 oxygen atoms.
- In total, we need [tex]\(12 + 6 = 18\)[/tex] oxygen atoms on the product side.
Since each [tex]$\text{O}_2$[/tex] molecule has 2 oxygen atoms, we need [tex]\(18 \div 2 = 9\)[/tex] [tex]$\text{O}_2$[/tex] molecules:
[tex]\[ \text{C}_6\text{H}_{12} + 9 \text{O}_2 \rightarrow 6 \text{CO}_2 + 6 \text{H}_2\text{O} + \text{heat} \][/tex]
Thus, the balanced combustion reaction for cyclohexane is:
[tex]\[ \text{C}_6\text{H}_{12} + 9 \text{O}_2 \rightarrow 6 \text{CO}_2 + 6 \text{H}_2\text{O} + \text{heat} \][/tex]
Therefore, the correct answer is:
C. [tex]$\text{C}_6\text{H}_{12} + 9 \text{O}_2 \rightarrow 6 \text{CO}_2 + 6 \text{H}_2\text{O} + \text{heat}$[/tex]
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.
