The neutralization reactions give as products a salt and water.
For the first reaction, the resulting salt will be CaSO4 and for the second NaCl reaction, the reactions obtained are the following:
[tex]H_2SO_4+Ca(OH_)_2\rightarrow CaSO_4+H_2O[/tex][tex]HCl+NaOH\rightarrow NaCl+H_2O[/tex]We must count the atoms of each element on both sides of each reaction to check that they are balanced.
For the reaction between H2SO4 and Ca(OH)2 we have:
Reactants side:
H=4atoms
S=1 atoms
O=6atoms
Ca=1 atom
Products side:
H=2atoms
S=1 atoms
O=5atoms
Ca=1 atom
We must balance the hydrogen and oxygen, we place the coefficient two in the water molecule and we will have the equation of the balanced reaction.
[tex]H_2SO_4+Ca(OH)_2\rightarrow CaSO_4+2H_2O[/tex]On both sides of the reaction we have:
H=4atoms
S=1 atoms
O=6atoms
Ca=1 atom
For the second reaction, the number of atoms on each side of the reaction is:
H=2atoms
Cl=1atom
Na=1atom
O=1 atom
This equation is already balanced
In summary, we have that the balanced chemical equation for the reactions is:
H2SO4 (aq) + Ca(OH)2 (s) → CaSO4 (s) + 2 H2O (l)
NaOH (aq) + HCl (aq) → NaCl (aq) + H2O (l)
