Final answer:
To balance the equation C(s) + H2(g) -> CH4(g), a coefficient of 2 is added in front of the formula for hydrogen to ensure the same number of atoms of each element on both sides of the equation.
Step-by-step explanation:
When we count the number of atoms of both elements, shown under the equation, we see that the equation is not balanced. There are only 2 atoms of hydrogen on the reactant side of the equation, while there are 4 atoms of hydrogen on the product side. We can balance the above equation by adding a coefficient of 2 in front of the formula for hydrogen.
C(s) + 2H₂(g) → CH₄(g)
A coefficient is a small whole number placed in front of a formula in an equation in order to balance it. The 2 in front of the H₂ means that there are a total of 2 × 2 = 4 atoms of hydrogen as reactants.