ANSWER
[tex]\text{ 2Fe}_{(s)}\text{ + 3H}_2SO_{4(aq)}\text{ }\rightarrow\text{ Fe}_2(SO_4)_{3(s)}\text{ + 3H}_{2(g)}[/tex]
EXPLANATION
Given equation
[tex]\text{ Fe + H}_2SO_4\text{ }\rightarrow\text{ Fe}_2(SO_4)_3\text{ + H}_2[/tex]
To balance the equation above, apply the law of conversation of mass
Law of conversation mass states that matter can neither be created nor destroyed but can be transformed from one point to another
On the reactants side
Fe has 1 atom
H has 2 atoms
S has 1 atom
O has 4 atoms
On the product side;
Fe has 2 atoms
S has 3 atoms
O has 12 atoms
H has 2 atoms
To balance the equation above, we need 2 moles Fe to react with 3 moles H2SO4, then we have the following reaction
[tex]\text{ 2Fe}_{(s)}\text{ + 3H}_2SO_{4(aq)}\text{ }\rightarrow\text{ Fe}_2(SO_4)_3\text{ + 3H}_{2(g)}[/tex]