MaNaTMoS:
"Normal conditions" as I have been given to understand it, is the continental way to say "standard conditions". Standard conditions are defined conditions depending upon the system of units you utilize. That is to say, that in the English system they are different than in either the SI or cgs systems. Felder and Rousseau define it as follows:
SI & cgs 273K 1 atm
American 492 R 1 atm.
However, you have to watch it, especially in American unit texts because "standard" conditions are sometimes defined as 60F or 72F, etc. So, despite the fact that "normal" means "standard", they are often in fact neither one! Confusing eh? Shows you why correct referencing is so important!