so...given your scenario. here's what i would do.
since you're in apartment and apartment normally comes with bath tub. so i would get a shower hose something like this
http://www.homedepot.com/p/RINSE-ACE-Assisted-Bather-with-8-ft-Extra-Long-Quick-Connect-Detachable-Hose-and-3-Setting-Sprayer-Pause-Mode-3520/202340030 long one, used one from garage sale for a buck may be? remove the handle.
get a children's plastic play chair so you can sit comfortably in the bath tub while working?
http://www.ikea.com/us/en/catalog/products/30267559/ may be a buck at garage sale again???
take your tank with you into shower tub, pretending you're taking shower with your tank
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just kidding flip the tank upside down, then hose the !@$!@$!#$ out of the tank from the petcock hole so it drains down through the filler hole. or i think it's better to stick the hose into filler hole, then flip tank upside down, then blast inside the tank. good thing about being in apartment is that water is already prepaid in the rent, so no worry on water bills, but still do try to conserve water though
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we're going through drought here in CA lol
once done with water flush, then use your chemical of choice, i had only used evaporust and CLR, and non others (can't seem to find them at garage sale???) so i can't comment on other products. fill the tank with chemical, along with some rusty nuts and bolts from the bike, shake it around, let it sit, shake it around, let it sit, repeat the process. evaporust is slow process, CLR is much quicker and you see result in like an hour or so.....
by this time, you can flush again with water, but i don't, pour in some small amount of denatured alcohol like calj said, and do this couple of times.
then follow by wd40
then follow by atf, mmo, 2 stroke oil, or other light weight oil
i know this is long write up, but when actually doing it, time goes by fairly quick, especially if you have everything you need right next to you by your bath tub
if this works out for you, please be kind to send 3 cents my way
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