Hello, Kambri,
Could you explain which part of this problem is the most confusing? There are a lot of steps, beginning with finding the formulas for the compounds and balancing the equation. It would help if you could ask specific questions about what you'd like help on.
We need to balance the equation, so I'll offer that as a start. I'll assume this was the reason for your post. If you need more, please let me know.
I come up with the following:
1 Zn3N2 + 3 Cl2 = 3 ZnCl2 + 1 N2
Check it, but I think it is balanced.
From this we know that we need 3 moles of Cl2 for every 1 mole of Zn3N2. We have the mass for Zn3N2 (14.7g), so we can calculate the moles by dividing 14.7g by Zn3N2's molar mass (g/mole). Multiply that number by 3 to obtain the number of moles of chlorine gas needed.
I'd be glad to help if you need more guidance,
Bob