To obtain the equation for the overall reaction by adding the given chemical equations, follow these steps:
1. Write Down the Given Equations:
\(CH_4(g) + 2 O_2(g) \rightarrow CO_2(g) + 2 H_2O(g)\)
\(2 H_2O(g) \rightarrow 2 H_2O(l)\)
2. Identify the Common Terms:
In this case, the term \(2 H_2O(g)\) appears on the product side of the first equation and on the reactant side of the second equation.
3. Combine the Equations:
- The \(2 H_2O(g)\) on both sides will cancel out.
- Sum up the remaining reactants and products.
Adding the equations, we get:
\(CH_4(g) + 2 O_2(g) + 2 H_2O(g) \rightarrow CO_2(g) + 2 H_2O(g) + 2 H_2O(l)\)
4. Cancel Out the Common Terms:
After canceling \(2 H_2O(g)\) from both sides (as they appear on both the reactant and product side), the equation simplifies to:
\(CH_4(g) + 2 O_2(g) \rightarrow CO_2(g) + 2 H_2O(l)\)
5. Write Down the Final Balanced Equation:
The overall reaction obtained by adding these equations is:
[tex]\[
CH_4(g) + 2 O_2(g) \rightarrow CO_2(g) + 2 H_2O(l)
\][/tex]
Therefore, the equation for the overall reaction is:
[tex]\[
CH_4(g) + 2 O_2(g) \rightarrow CO_2(g) + 2 H_2O(l)
\][/tex]
