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;

(d) explain why an orifice plate would be suitable to measure the mass flow rate of the gas. (e) 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).