The balanced equation for the reaction between lead chloride (PbCl₂) and sodium nitrate (NaNO₃) to form lead nitrate (Pb(NO₃)₂) and sodium chloride (NaCl) is:

PbCl₂(aq) + 2NaNO₃(aq) → Pb(NO₃)₂(aq) + 2NaCl(aq)

Here's a breakdown of the equation:

* PbCl₂(aq): Lead chloride, dissolved in water (aqueous).

* NaNO₃(aq): Sodium nitrate, dissolved in water (aqueous).

* Pb(NO₃)₂(aq): Lead nitrate, dissolved in water (aqueous).

* NaCl(aq): Sodium chloride, dissolved in water (aqueous).

The equation is balanced because there are the same number of atoms of each element on both sides of the equation:

* Lead (Pb): 1 on each side

* Chlorine (Cl): 2 on each side

* Sodium (Na): 2 on each side

* Nitrogen (N): 2 on each side

* Oxygen (O): 6 on each side

This reaction is a double displacement reaction, where the positive and negative ions of the reactants switch partners to form new products.