A pitot tube is used to measure the mean velocity of high pressure gas in a 0.15 m diameter pipe. At maximum flow rate the mean pitot differential pressure is 250 Pa. Use the data given below to: (a) calculate the mean velocity of the gas at maximum flow rate; (b) estimate the maximum mass flow rate; (c) estimate the Reynolds number at maximum flow; (e) (d) explain why an orifice plate would be suitable to measure the mass flow rate of the gas. Given that a differential pressure transmitter of range 0 to 3 × 104 Pa is available, estimate the required diameter of the orifice plate hole (assume coefficient of discharge = 0.6, expansibility factor and velocity of approach factor = 1.0). Data Density of gas 5.0 kg m³ -3 = Viscosity of gas = 5.0 × 10-5 Pas