Pressure drop across the orifice is significant to your problem. If the flow is choked as in the gas has reached sonic in the throat area the flow rate can be determined from gas dynamics tables. But you will need to know some entrance values such as T to determine the rho, density. This sets your m.dot for the flow rate., m.dot = rho*. A * V (velocity)
Once thats known your throat conditions can be determined and hence your pressure drop across the device from further calcs. In practice its easier to instrument the upstream or down stream conditions as the flowing temp of the gas to set conditions to determine rho is often difficult.
Good luck,
Bill
Bill Swain
Ultra Electronics Precison Air Systems
Technical Coordination Manager-US Programs
swainw@asme.org