Answer: The balanced chemical equation is given below.
Step-by-step explanation:
A balanced chemical equation is defined as the equation in which total mass of the reactants is equal to the total mass of the products. The number of individual atoms on the reactant side is equal to the number of individual atoms on the product side. These equations follow Law of conservation of mass.
The balanced chemical equation for the reaction of phosphorous and chlorine gas follows:

By Stoichiometry of the reaction:
1 mole of solid phosphorus reacts with 6 moles of chlorine gas to produce 4 moles of phosphorus trichloride gas.