Question
Balance the following equation stepwise.
$H_2S_2O_{7(l)} + H2O_{(l)}\rightarrow H_2SO_{4(l)}$

Answer

Step $1:$ Write the equation and then count the number of atoms of each element on the $R.H.S.$ and $L.H.S.$ of the arrow.
$H_2S_2O_7+ H_2O \rightarrow H_2SO_4$_______________$(1)$
Elements No. of atoms in reactants (L.H.S.) No. of atoms in products (R.H.S.)
$H$ $4$ $2$
$S$ $2$ $1$
$Ο$ $8$ $4$
Step $2:$ Check whether no. of atoms on both sides is equal. It is seen from the above table number of atoms of all the elements on the two sides are not the same.
Step $3:$ To balance the number of atom on both sides. We write coefficient $2$ for $H_2SO_4$.
Now the equation becomes.
$H_2S_2O_{7(l)} + H_2O_{(l)} \rightarrow 2H_2SO_{4(l)}$_______________$(2)$
Now see that the number of atoms of each. elements are equal on both sides.
Elements No. of atoms in reactants No. of atoms in products
$H$ $4$ $4$
$S$ $2$ $2$
$O$ $8$ $8$
Hence, the equation $(2)$ is a balanced equation.

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