Grow Closet ventilation and set Up Questions?

Hello! I moved this from "grow room design and setup" since i'm a newbie. I'm in the process of building a 5x8 closet in my storage room15x8. My goal is to keep it a storage room but the back part will be my grow room. Just finished hanging drywall and installing the door. I'm so pumped about it because I'm not what you call a carpenter! I plan on building another short wall to partition off the veg area as well. So far i have a 400cfm 6" Active Air fan with a carbon scrubber, a 600w HPS with an 6" air cooled hood and CFL's for the veg area (T5 fixtures hopefully coming soon).
I plan to use a window AC in the storage room and pull that cool air into the grow room through a passive intake in the veg area. I will then pull all hot air through my scrubber, 600w hps, around a short bend and then down 10 feet of the smooth sheet metal air ducting to the outside. Will the fan that i have be enough for the scrubber and that extra ten feet of ducting? I went ahead and attached a floor plan I drew up. Let me know what you think? Thanks!

Help, I'm new to this, doing a lot of research but still can't find the answer to this one. Any info or suggestion will be greatly appreciated!

Hello, anyone there?

Bumpity bumps

bump....bump

Watch your temps. That is a big light in a small room. I am also setting up a 4'x5' flower closet and I decided not to vent the 1000w light. Instead I am removing the warm air via the filter duct and decided to place an a/c duct from a portable going directly into the chamber. That way i can have a little more control over the temp. just my 2 cents