Study the given chemical reaction and find the values of x, y and z , respectively.

​$$xFe(s) + yH_2O(g) \rightarrow Fe_3O_4 + zH_2(g)$$​​

Correct option is C

To balance the given chemical reaction:

​$$x \, \text{Fe}(s) + y \, \text{H}_2\text{O}(g) \rightarrow \text{Fe}_3\text{O}_4 + z \, \text{H}_2(g)$$​​

Step 1: Balance the iron atoms (Fe)

On the product side, Fe₃O₄ has 3 Fe atoms. So, to balance Fe on the reactant side, we need 3 Fe atoms.

Thus, x=3.

​$$3 \, \text{Fe}(s) + y \, \text{H}_2\text{O}(g) \rightarrow \text{Fe}_3\text{O}_4 + z \, \text{H}_2(g)$$​​

Step 2: Balance the oxygen atoms (O)

On the product side, Fe₃O₄ has 4 oxygen atoms. To balance oxygen on the reactant side, we need 4 molecules of H₂O, because each H₂O molecule contains 1 oxygen atom.

Thus, y=4.

​$$3\, \text{Fe}(s) + 4 \, \text{H}_2\text{O}(g) \rightarrow \text{Fe}_3\text{O}_4 + z \, \text{H}_2(g)$$​​

On the reactant side, we have 4 molecules of H₂O, each contributing 2 hydrogen atoms, so we have a total of 8 hydrogen atoms.

On the product side, H₂ contains 2 hydrogen atoms per molecule. To balance the hydrogen atoms, we need 4 molecules of H₂.

Thus, z=4.

​$$3 \, \text{Fe}(s) + 4 \, \text{H}_2\text{O}(g) \rightarrow \text{Fe}_3\text{O}_4 + 4 \, \text{H}_2(g)$$​​

Final Answer:

The values of x, y, and z are 3, 4, and 4, respectively.

So, the correct answer is:

C. 3, 4, 4.