Answer: The chemical equation for the given reaction is given below.
Step-by-step explanation:
A single displacement reaction is defined as the reaction in which more reactive element displaces the less reactive element from its chemical reaction.

Element A is more reactive than element B.
The chemical equation for the reaction of sodium bromide with chlorine gas follows:

By Stoichiometry of the reaction:
2 moles of sodium bromide reacts with 1 mole of chlorine to produce 2 moles of sodium chloride and 1 mole of bromine gas.