Suncourt Inductor In Line Duct Fan - 4 in.: Allergy Relief Superstore

i'm looking at a fan like this or similar. they are obviously cheaper and flow less air than the centrifugal? type fans- but i have seen people get moderate success using them on this forum.

my question is this- can i feasibly vent a medium sized closet using this fan THROUGH a diy carbon filter and a 400 hps sealed light reflector to my attic?

or would i need something with more cfm to push all that?

thanks guys.