To balance the chemical equation Fe + HCl -> FeCl3 + H2, follow these steps:1. Identify the number of atoms for each element on both sides of the equation. Reactants: 1 Fe, 1 H, 1 Cl Products: 1 Fe, 2 H, 3 Cl2. Balance the elements one by one, starting with the element that appears the least number of times in the equation. In this case, we'll start with Cl chlorine .3. There are 3 Cl atoms in FeCl3 on the product side, but only 1 Cl atom in HCl on the reactant side. To balance the Cl atoms, we need to multiply HCl by 3: Fe + 3HCl -> FeCl3 + H2 Now, the Cl atoms are balanced: Reactants: 1 Fe, 3 H, 3 Cl Products: 1 Fe, 2 H, 3 Cl4. Next, balance the H hydrogen atoms. There are 3 H atoms on the reactant side and 2 H atoms on the product side. To balance the H atoms, we need to find the lowest common multiple LCM of 3 and 2, which is 6. Multiply both HCl and H2 by the appropriate coefficients to get 6 H atoms on both sides: Fe + 6HCl -> 2FeCl3 + 3H2 Now, the H atoms are balanced: Reactants: 1 Fe, 6 H, 6 Cl Products: 2 Fe, 6 H, 6 Cl5. Finally, balance the Fe iron atoms. There are 2 Fe atoms on the product side but only 1 Fe atom on the reactant side. To balance the Fe atoms, multiply Fe by 2: 2Fe + 6HCl -> 2FeCl3 + 3H2 Now, all the elements are balanced: Reactants: 2 Fe, 6 H, 6 Cl Products: 2 Fe, 6 H, 6 ClThe balanced chemical equation is:2Fe + 6HCl -> 2FeCl3 + 3H2