Answer: The mass of phosphorus trichloride produced is 58.1 grams.
Step-by-step explanation:
To calculate the number of moles, we use the equation:
......(1)
Given mass of chlorine gas = 30.0 g
Molar mass of chlorine gas = 71 g/mol
Putting values in equation 1, we get:

The given chemical equation follows:

By Stoichiometry of the reaction:
6 moles of chlorine gas produces 4 moles of phosphorus trichloride
So, 0.422 moles of chlorine gas will produce =
of phosphorus trichloride
Now, calculating the mass of phosphorus trichloride from equation 1, we get:
Molar mass of phosphorus trichloride = 137.33 g/mol
Moles of phosphorus trichloride = 0.422 moles
Putting values in equation 1, we get:

Hence, the mass of phosphorus trichloride produced is 58.1 grams.