The balanced equation for the reaction between magnesium bromide (MgBr₂) and chlorine (Cl₂) is:

MgBr₂ + Cl₂ → MgCl₂ + Br₂

Here's why:

* Reactants:

* Magnesium bromide (MgBr₂) is a solid ionic compound.

* Chlorine (Cl₂) is a diatomic gas.

* Products:

* Magnesium chloride (MgCl₂) is a solid ionic compound.

* Bromine (Br₂) is a diatomic liquid.

* Balancing:

* The equation is balanced because there are equal numbers of each type of atom on both sides of the equation:

* 1 Magnesium (Mg)

* 2 Bromine (Br)

* 2 Chlorine (Cl)

This reaction is a single displacement reaction, where chlorine, being more reactive than bromine, displaces bromine from magnesium bromide.