3. A certain obstruction-type flowmeter (orifice, venture, nozzle), shown in the figure below, is used to measure the flow of air at low velocities. PT The relation describing the flow rate is Flow m = CA 2gP Ap RT Where C is an empirical-discharge coefficient, 4 is the flow area, Ap is the pressure difference between p (upstream pressure) and P: (downstream pressure), T is the upstream temperature, g is the gravitational acceleration, and R is the gas constant for air. Calculate the uncertainty in the mass flow rate using the non-analytical and the analytical methods for the following uncertainties: C = 0.92 0.005 P 172,4003500 Pa Ap 9,653 34.5 Pa A=0.065+ 0.000065 m T = 38.91.1 K The rest of the parameters are: g=9.81- m R 286- J kg. K Hint: the mass flow rate is function of the following variables: m = f(C, A, p, Ap,T)