a) assuming we are meant to write the formulas for the compounds in the question, we want to write the formula for methane. Methane is compouded by 1 carbon atom and 4 hydrogen atoms, so it has the formula: CH₄.
b) we know it is a complete combustion. A complete combustion of some compound is always its reaction with oxygen (O₂) to form only water (H₂O) and carbon dioxide (CO₂).
So, the incomplete and unbalanced equation is:
[tex]CH_4+O_2\to CO_2+H_2O[/tex]c) The combustion occurs in high temperature and in gaseous form. Thus, all compounds are in gaseous form (g).
The unbalcend equation is then:
[tex]CH_4\, (g)+O_2\, (g)\to CO_2\, (g)+H_2O\, (g)[/tex]d) To balance the equation, we can leave CH₄ unchanged and balance the others base on it.
The carbon, C, only appears in CH₄ and CO₂, and in both we have only 1, so it is balanced.
The hydrogen, H, appears in CH₄ and H₂O. We have 4 on the left side and 2 on the right side, so we can double H₂O to fix it:
[tex]CH_4\, (g)+O_2\, (g)\to CO_2\, (g)+2H_2O\, (g)[/tex]Now, we have 2 oxygen, O, on the left side and 4 on the right side, so we also need to double O₂ to get it right.
So, the balanced equation is:
[tex]CH_4\, (g)+2O_2\, (g)\to CO_2\, (g)+2H_2O\, (g)[/tex]