QuestionJune 5, 2025

When the following equation is balanced with simplest whole numbers what is the coefficient for O_(2) C_(2)H_(5)OH+O_(2)arrow CO_(2)+H_(2)O 1 2 3 4 5 6 7 s 9

When the following equation is balanced with simplest whole numbers what is the coefficient for O_(2) C_(2)H_(5)OH+O_(2)arrow CO_(2)+H_(2)O 1 2 3 4 5 6 7 s 9
When the following equation is balanced with simplest whole numbers what is the coefficient for
O_(2)
C_(2)H_(5)OH+O_(2)arrow CO_(2)+H_(2)O
1
2
3
4
5
6
7
s
9

Solution
4.1(170 votes)

Answer

3 Explanation 1. Write the unbalanced equation \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH} + \mathrm{O}_{2} \rightarrow \mathrm{CO}_{2} + \mathrm{H}_{2} \mathrm{O} 2. Balance carbon atoms 2 carbon atoms in \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}, so place 2 in front of \mathrm{CO}_{2}: \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH} + \mathrm{O}_{2} \rightarrow 2\mathrm{CO}_{2} + \mathrm{H}_{2} \mathrm{O} 3. Balance hydrogen atoms 6 hydrogen atoms in \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}, so place 3 in front of \mathrm{H}_{2} \mathrm{O}: \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH} + \mathrm{O}_{2} \rightarrow 2\mathrm{CO}_{2} + 3\mathrm{H}_{2} \mathrm{O} 4. Balance oxygen atoms Total oxygen needed on the right: 2 \times 2 + 3 = 7. Oxygen from \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH} is 1, so 6 more are needed from \mathrm{O}_{2}. Place 3 in front of \mathrm{O}_{2}: \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH} + 3\mathrm{O}_{2} \rightarrow 2\mathrm{CO}_{2} + 3\mathrm{H}_{2} \mathrm{O}

Explanation

1. Write the unbalanced equation<br /> $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH} + \mathrm{O}_{2} \rightarrow \mathrm{CO}_{2} + \mathrm{H}_{2} \mathrm{O}$<br /><br />2. Balance carbon atoms<br /> 2 carbon atoms in $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}$, so place 2 in front of $\mathrm{CO}_{2}$: <br /> $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH} + \mathrm{O}_{2} \rightarrow 2\mathrm{CO}_{2} + \mathrm{H}_{2} \mathrm{O}$<br /><br />3. Balance hydrogen atoms<br /> 6 hydrogen atoms in $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}$, so place 3 in front of $\mathrm{H}_{2} \mathrm{O}$:<br /> $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH} + \mathrm{O}_{2} \rightarrow 2\mathrm{CO}_{2} + 3\mathrm{H}_{2} \mathrm{O}$<br /><br />4. Balance oxygen atoms<br /> Total oxygen needed on the right: $2 \times 2 + 3 = 7$. Oxygen from $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}$ is 1, so 6 more are needed from $\mathrm{O}_{2}$.<br /> Place 3 in front of $\mathrm{O}_{2}$: <br /> $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH} + 3\mathrm{O}_{2} \rightarrow 2\mathrm{CO}_{2} + 3\mathrm{H}_{2} \mathrm{O}$
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