A NASA colleague recently showed me that the differential equation for pressure and temperature versus time for gas venting from a vessel can sometimes be separated and integrated to closed form solutions for pressure or temperature versus time. I haven't worked through all the details yet, but when I get to it, I'll post the equations for your review. Also, they may be a bit complicated for posting in this text format. Is there a better way available to post equations with exponents and square roots and exponents inside square roots?