State if the given statement is true or false.

Given below are balanced equations :

$\mathrm{A}) {\mathrm{CaCO}}_3+\mathrm{HCl}\to {\mathrm{CaCl}}_2+{\mathrm{H}}_2\mathrm{O}+{\mathrm{CO}}_2$

$\mathrm{B}) \mathrm{Na}+{\mathrm{H}}_2\mathrm{O}\to \mathrm{NaOH}+{\mathrm{H}}_2$

$\mathrm{C}) {\left({\mathrm{NH}}_4\right)}_2{\mathrm{SO}}_4+\mathrm{Ca}{\left(\mathrm{OH}\right)}_2\to {\mathrm{CaSO}}_4+{\mathrm{NH}}_3+{\mathrm{H}}_2\mathrm{O}$

$\mathrm{D}) \mathrm{Hg}{\left({\mathrm{NO}}_3\right)}_2\to \mathrm{Hg}+{\mathrm{NO}}_2+{\mathrm{O}}_2$

$\mathrm{E})\hspace{0.17em}{\mathrm{Pb}}_3{\mathrm{O}}_4+\mathrm{HCl}\to {\mathrm{PbCl}}_2+{\mathrm{Cl}}_2+{\mathrm{H}}_2\mathrm{O}$

Balanced equations are reactions in which a number of moles of reactants and products are the same on both sides of the arrow. 

Thus, to balance the equation, we keep the count of the elements balanced on both sides of the reaction which maintains the same total mass of elements on both sides. An unbalanced reaction can be balanced by multiplying by appropriate coefficients. 

In the equation ${\mathrm{CaCO}}_3+\mathrm{HCl}\to {\mathrm{CaCl}}_2+{\mathrm{H}}_2\mathrm{O}+{\mathrm{CO}}_2$, Hydrogen (H) is not balanced.

In equation B, $\mathrm{Na}+{\mathrm{H}}_2\mathrm{O}\to \mathrm{NaOH}+{\mathrm{H}}_2$, Hydrogen (H) is not balanced.

In equation C, ${\left({\mathrm{NH}}_4\right)}_2{\mathrm{SO}}_4+\mathrm{Ca}{\left(\mathrm{OH}\right)}_2\to {\mathrm{CaSO}}_4+{\mathrm{NH}}_3+{\mathrm{H}}_2\mathrm{O}$, Nitrogen (N), Hydrogen (H), and Oxygen (O) are not balanced.

In equation D, $\mathrm{Hg}{\left({\mathrm{NO}}_3\right)}_2\to \mathrm{Hg}+{\mathrm{NO}}_2+{\mathrm{O}}_2$, Nitrogen (N), and Oxygen (O) are not balanced.

In equation E, ${\mathrm{Pb}}_3{\mathrm{O}}_4+\mathrm{HCl}\to {\mathrm{PbCl}}_2+{\mathrm{Cl}}_2+{\mathrm{H}}_2\mathrm{O}$, all atoms are not balanced.

Therefore,

All of the given equations are unbalanced and they are balanced as-

$\mathrm{A}) {\mathrm{CaCO}}_3+2\mathrm{HCl}\to {\mathrm{CaCl}}_2+{\mathrm{H}}_2\mathrm{O}+{\mathrm{CO}}_2$

$\mathrm{B}) 2\mathrm{Na}+2{\mathrm{H}}_2\mathrm{O}\to 2\mathrm{NaOH}+{\mathrm{H}}_2$

$\mathrm{C}) {\left({\mathrm{NH}}_4\right)}_2{\mathrm{SO}}_4+\mathrm{Ca}{\left(\mathrm{OH}\right)}_2\to {\mathrm{CaSO}}_4+2{\mathrm{NH}}_3+2{\mathrm{H}}_2\mathrm{O}$

$\mathrm{D}) \mathrm{Hg}{\left({\mathrm{NO}}_3\right)}_2\to \mathrm{Hg}+2{\mathrm{NO}}_2+{\mathrm{O}}_2$

$\mathrm{E})\hspace{0.17em}{\mathrm{Pb}}_3{\mathrm{O}}_4+8\mathrm{HCl}\to {\mathrm{PbCl}}_2+3{\mathrm{Cl}}_2+4{\mathrm{H}}_2\mathrm{O}$

Hence, the correct option is (B) FALSE.