250w HPS tent NEED HELP

Im planning on starting a closet grow that will be inside a grow tent thats 36''x20''x62''. Is this enough space to use a 250 watt HPS if I have a 4'' intake using a cheap inline fan from home depot plus a cooltube for the lamp? And can I just leave one end of the cooltube open inside and have it pulling air out through a carbon filter as my exhaust? or do i need to add another exhaust aswell as the cootube? Also, how much of a yield can I expect from this setup?

I've been trying to plan this out for quite a while now so any input that will help me get this up and running as soon as possible will be much appreciated.
-stay high... peace.

as long as you dont fuck up i.e. no over watering, under watering, heat stress, ph, proper feeding with nutrients, proper soil, fan blowing on plants, etc.. you can achieve up to an oz approximately per plant. 4 plants max.

its big enough for 250 for sure... 400 with cooltube is even possible with seperate exaust for room/ one for cooltube .... as for yeild to many factors to determine... general rule is if your doing everything right and using ur space 1 gram/per watt is a good yeild... experienced growers could pull 1.5... expect around .5 grams per watt if u do everything correct and use ur space... if u get more good for you