Well, if you solve the equation, you'll be able to determine the amount of liters in Cl₂ gas.
First, lets convert 32g of Cl₂ to moles.
To convert to moles, we would find the GFM.
The GFM of Cl₂ is 70g/mol.
Since we are given the grams, we could find the moles by dividing
32g
--------= .457mol
70g/mol
After converting to moles, we could now convert the number of moles to liters.
(.457mol)(22.4L)= 10.23L
After finding the answer and analyzing the student's steps, we could determine that the student is incorrect because the amount of moles in Cl₂ is .457 moles not, 716.8 moles.