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

Question

C_{8}*H_{8} + 2O_{2} -> C*O_{2} + 4H_{2}*O

C_{8}*H_{8} + 4O_{2} -> 3C*O_{2} + 3H_{2}*O

C_{8}*H_{8} + 5O_{2} -> 3C*O_{2} + 4H_{2}*O

C_{8}*H_{8} + 3O_{2} -> 3C*O_{2} + 4H_{2}*O

Answer 1

To determine which of the given equations is correctly balanced, we need to check each one for the conservation of mass, ensuring the same number of each atom appears on both the reactant and product sides.

1. Equation 1: \[ C_{8}H_{8} + 2O_{2} \rightarrow C_{2}O_{2} + 4H_{2}O \]

   • Reactants:
     • C = 8, H = 8, O = 4
   • Products:
     • C = 2, H = 8, O = 4
   • Not balanced.

2. Equation 2: \[ C_{8}H_{8} + 4O_{2} \rightarrow 3C_{2}O_{2} + 3H_{2}O \]

   • Reactants:
     • C = 8, H = 8, O = 8
   • Products:
     • C = 6, H = 6, O = 9
   • Not balanced.

3. Equation 3: \[ C_{8}H_{8} + 5O_{2} \rightarrow 3C_{2}O_{2} + 4H_{2}O \]

   • Reactants:
     • C = 8, H = 8, O = 10
   • Products:
     • C = 6, H = 8, O = 10
   • Not balanced.

4. Equation 4: \[ C_{8}H_{8} + 3O_{2} \rightarrow 3C_{2}O_{2} + 4H_{2}O \]

   • Reactants:
     • C = 8, H = 8, O = 6
   • Products:
     • C = 6, H = 8, O = 10
   • Not balanced.

After analyzing all equations, none of them are balanced correctly. Note that, for the complete combustion of octane (C8H18), a generally accepted balanced equation is: \[ C_{8}H_{18} + 12.5O_{2} \rightarrow 8CO_{2} + 9H_{2}O \]

This shows that there might be an error in the options provided. If there are more specific options or further information, I can help clarify.