Am i doing this right? please help

Will a 340cfm inline fan connected to a can 50 carbon filter be good exaust for a 4.5x4.5x6.5 grow tent? I have a boster fan taking the heat out of my 600watt hps lamp but its not exausting air from in the room its just sucking air from outside the tent through the lamp back outside the tent.:-?I need help with the intake also but we will get to that after i know that the 340cfm inline fan is good enough.
 
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