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## Main Question or Discussion Point

I'm interested in modelling the effect of a chamber of ideal gas at a high pressure passing through subsequent chambers of lower pressure gas - each subsequent chamber joined to the previous via a thin plate oriface.

I'm looking at at an iterative solution (i don't do integrals) and i am happy that i can calculate the instantaneous flow of gas through an orifice between chambers - whether chocked or not.

I can not find how to calculate the temperature change of the gas in each of the chambers either side of the orifice as a result of the flow (assuming no 'velocity' of gas remains in any of the chambers).

There is no work being done in the system and I know during a free adiabatic expansion the temperature is constant but this scenario is different - I assume temperature/internal energy will drop in the high pressure side and increase in the low pressure side as the gas passes through the orifice - but by how much - can someone point me to a formula or another way of looking at the problem?

I'm looking at at an iterative solution (i don't do integrals) and i am happy that i can calculate the instantaneous flow of gas through an orifice between chambers - whether chocked or not.

I can not find how to calculate the temperature change of the gas in each of the chambers either side of the orifice as a result of the flow (assuming no 'velocity' of gas remains in any of the chambers).

There is no work being done in the system and I know during a free adiabatic expansion the temperature is constant but this scenario is different - I assume temperature/internal energy will drop in the high pressure side and increase in the low pressure side as the gas passes through the orifice - but by how much - can someone point me to a formula or another way of looking at the problem?