Answer:
Fe₂O₃ + 3 CO → 2 Fe + 3 CO₂
Step-by-step explanation:
There are many ways to balance a chemical equation. In this case, I will show you the algebraic method:
The first step is assign a letter to each compound:
a Fe₂O₃ + b CO → c Fe + d CO₂
Then, you must write the balance equations for each atom, thus:
Fe: 2a = c
C: b = d
O: 3a + b = 2d
The last step is assign a value to a letter. I, for example, will say that a is 1, and then find the values for the others letters, thus:
Fe: 2a = c if a=1; c=2
O: 3a + b = 2d if a=1 → 3+b = 2d
As b = d → 3+d = 2d; 3 = 2d - d; 3=d and 3=b
Thus, the balanced equation is:
Fe₂O₃ + 3 CO → 2 Fe + 3 CO₂
I hope it helps!