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Which of the following equations if correctly balanced?(1 point)

Responses

C
8
H
8
+
10
O
2
→
3
C
O
2
+
4
H
2
O
cap c sub 8 cap h sub 8 plus 10 cap o sub 2 rightarrow 3 cap c cap o sub 2 plus 4 cap h sub 2 cap o

C
8
H
8
+
2
O
2
→
C
O
2
+
4
H
2
O
C
8
H
8
+
2
O
2
→
C
O
2
+
4
H
2
O

C
8
H
8
+
3
O
2
→
3
C
O
2
+
4
H
2
O
cap c sub 8 cap h sub 8 plus 3 cap o sub 2 rightarrow 3 cap c cap o sub 2 plus 4 cap h sub 2 cap o

C
8
H
8
+
4
O
2
→
3
C
O
2
+
3
H
2
O

1 answer

To determine which equation is correctly balanced, we need to check the number of atoms of each element on both sides of the equations. The chemical equation for the combustion of octane (C₈H₈) is shown below for each option:

  1. C₈H₈ + 10 O₂ → 3 CO₂ + 4 H₂O

    • Left side: 8 C, 8 H, 20 O
    • Right side: 3 C, 8 O (from CO₂), 4 H, 4 O (from H₂O) → Total: 3 C, 8 H, 12 O
    • Not balanced (O and C do not match)

  2. C₈H₈ + 2 O₂ → CO₂ + 4 H₂O

    • Left side: 8 C, 8 H, 4 O
    • Right side: 1 C, 2 O (from CO₂), 4 H, 4 O (from H₂O) → Total: 1 C, 4 H, 6 O
    • Not balanced (C and O do not match)

  3. C₈H₈ + 3 O₂ → 3 CO₂ + 4 H₂O

    • Left side: 8 C, 8 H, 6 O
    • Right side: 3 C, 8 O (from CO₂), 4 H, 4 O (from H₂O) → Total: 3 C, 8 H, 12 O
    • Not balanced (C and O do not match)

  4. C₈H₈ + 4 O₂ → 3 CO₂ + 3 H₂O

    • Left side: 8 C, 8 H, 8 O
    • Right side: 3 C, 6 O (from CO₂), 3 H, 3 O (from H₂O) → Total: 3 C, 6 H, 9 O
    • Not balanced (C, H, and O do not match)

None of the equations provided are balanced.

To find the correct balanced equation for combustion of octane (C₈H₈), the correct stoichiometric equation is:

\[ \text{C}_8\text{H}_8 + 10 \text{O}_2 \rightarrow 8 \text{CO}_2 + 4 \text{H}_2\text{O} \]

You may want to double-check with the correct combustion equation based on stoichiometry for C₈H₈.