Choked-flow nozzles are often used to meter the flow of gases through piping systems. The mass flow rate of gas is thought to depend on nozzle area \(A\), pressure \(p\), and temperature \(T\) upstream of the meter, and the gas constant \(R\). Determine how many independent \(\Pi\) parameters can be formed for this problem. State the functional relationship for the mass flow rate in terms of the dimensionless parameters.