Which one of the following equations is the balanced chemical equation

Which one of the following equations is the balanced chemical equation for the given reaction ?
$\text{Fe + H}_2\text{O} \rightarrow \text{Fe}_3\text{O}_4\text{ + H}_2$

$ ext{Fe + 4H}_2 ext{O} ightarrow ext{Fe}_3 ext{O}_4 ext{ + H}_2$
$ ext{3Fe + H}_2 ext{O} ightarrow ext{Fe}_3 ext{O}_4 ext{ + 2H}_2$
$ ext{3Fe + 4H}_2 ext{O} ightarrow ext{Fe}_3 ext{O}_4 ext{ + 4H}_2$
$ ext{3Fe + 4H}_2 ext{O} ightarrow ext{Fe}_3 ext{O}_4 ext{ + H}_2$
This question was previously asked in
UPSC CDS-2 – 2023
A balanced chemical equation must have the same number of atoms of each element on both the reactant side and the product side. The given unbalanced equation is Fe + H2O $\rightarrow$ Fe3O4 + H2. To balance this equation, we can follow these steps:
1. Balance Fe: There are 3 Fe atoms on the right (in Fe3O4) and 1 on the left. Multiply Fe on the left by 3: 3Fe + H2O $\rightarrow$ Fe3O4 + H2.
2. Balance O: There are 4 O atoms on the right (in Fe3O4) and 1 on the left (in H2O). Multiply H2O on the left by 4: 3Fe + 4H2O $\rightarrow$ Fe3O4 + H2.
3. Balance H: Now there are 4 * 2 = 8 H atoms on the left. There are 2 H atoms on the right (in H2). Multiply H2 on the right by 4: 3Fe + 4H2O $\rightarrow$ Fe3O4 + 4H2.
Checking the balanced equation:
Left side: Fe = 3, H = 4 * 2 = 8, O = 4 * 1 = 4
Right side: Fe = 3, H = 4 * 2 = 8, O = 4
The number of atoms of each element is equal on both sides.
Balancing chemical equations adheres to the Law of Conservation of Mass, which states that matter cannot be created or destroyed in a chemical reaction. Option C is the only option that shows the coefficients 3, 4, 1, and 4 respectively, which correctly balance the atoms on both sides of the equation.