Gas pipe distribution system operating under steady flow

Question

A junction in a gas pipe distribution system operating under steady flow conditions is illustrated in Figure. The internal diameters of the pipes A, B and C are 17 cm, 20 cm and 35 cm respectively. The mass flow rate of the gas passing through inlet pipe A is 3 kg/s. The density of the gas at the inlet pipe

B is 11 kg/m³. At the outlet pipe C, the gas density is 12 kg/m³ and the gas flows with a velocity of 4 m/s.

(i) Mass flow rate of gas in pipe C.

(ii) Mass flow rate of gas in pipe B.

(iii) Velocity of gas in pipe B.

(iv) Volumetric flow rate in pipe A.

(v) Density of the gas in pipe A