The balanced chemical equation for the given reaction is:
Fe2(C2O4)3 → 2FeC2O4 + 3CO2
In this equation, we have two Fe atoms and six C atoms on both sides, and also six O atoms on both sides. To balance the equation, we can first start with the Fe atoms and balance them by adding a coefficient of 2 in front of FeC2O4:
Fe2(C2O4)3 → 2FeC2O4 + ...
Now we have two Fe atoms on both sides. Next, we can balance the C atoms by adding a coefficient of 3 in front of CO2:
Fe2(C2O4)3 → 2FeC2O4 + 3CO2
Finally, we can check that the equation is balanced by counting the number of atoms on both sides:
Fe2(C2O4)3: 2 Fe, 6 C, 12 O
2FeC2O4: 2 Fe, 6 C, 12 O
3CO2: 0 Fe, 3 C, 6 O
The number of atoms is the same on both sides, so the equation is balanced.