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

Question

Responses

C8H8+3O2→3CO2+4H2O
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

C8H8+4O2→3CO2+3H2O
cap c sub 8 cap h sub 8 plus 4 cap o sub 2 rightarrow 3 cap c cap o sub 2 plus 3 cap h sub 2 cap o

C8H8+2O2→CO2+4H2O
C8H8+2O2→CO2+4H2O

C8H8+5O2→3CO2+4H2O
cap c sub 8 cap h sub 8 plus 5 cap o sub 2 rightarrow 3 cap c cap o sub 2 plus 4 cap h sub 2 cap o

Answer 1

To determine which equation is balanced, we need to check the number of atoms of each element on both sides of the equation.

1. Equation 1: \(C_8H_8 + 3O_2 \rightarrow 3CO_2 + 4H_2O\)

   • Left side:
     • C: 8
     • H: 8
     • O: 3 × 2 = 6
   • Right side:
     • C: 3 × 1 = 3
     • H: 4 × 2 = 8
     • O: 3 × 2 + 4 × 1 = 6
   • Not balanced (C is not balanced).

2. Equation 2: \(C_8H_8 + 4O_2 \rightarrow 3CO_2 + 3H_2O\)

   • Left side:
     • C: 8
     • H: 8
     • O: 4 × 2 = 8
   • Right side:
     • C: 3 × 1 = 3
     • H: 3 × 2 = 6
     • O: 3 × 2 + 3 × 1 = 9
   • Not balanced (C and O are not balanced).

3. Equation 3: \(C_8H_8 + 2O_2 \rightarrow CO_2 + 4H_2O\)

   • Left side:
     • C: 8
     • H: 8
     • O: 2 × 2 = 4
   • Right side:
     • C: 1
     • H: 4 × 2 = 8
     • O: 1 × 2 + 4 × 1 = 6
   • Not balanced (C and O are not balanced).

4. Equation 4: \(C_8H_8 + 5O_2 \rightarrow 3CO_2 + 4H_2O\)

   • Left side:
     • C: 8
     • H: 8
     • O: 5 × 2 = 10
   • Right side:
     • C: 3 × 1 = 3
     • H: 4 × 2 = 8
     • O: 3 × 2 + 4 × 1 = 10
   • Not balanced (C is not balanced).

After checking all four equations, none of them are correctly balanced.

The correct balanced equation for the combustion of octane \(C_8H_8\) should be: \[ C_8H_8 + 9O_2 \rightarrow 8CO_2 + 4H_2O \]

If all four equations provided are the only options, then none of them are balanced.