Sec Fig 88 In a chemical processing plant benzene at 50 degr

Sec Fig. 8.8. In a chemical processing plant, benzene at 50 degree C (sg = 0.86) must be delivered to point B with a pressure of 550 kPa. A pump is located at point A 21 m below point B, and the two points are connected by 240 m of plastic pipe having an inside diameter of 50 mm. If the volume flow rate is 110 L/min, calculate the required pressure at the outlet of the pump.

Solution

Neglect the friction in the pipe, so head is of 21 m

Eqn ( Pa-550 KPa)/rho + V²/2 = gH

where rho is density of benzene = 860 kg/m³

V = velocity of flow, find from Q rate and dia , =.934 m/s

sunstitute in eqn DP/860 = 21*9.81- .934*.934/2

DP = Pa-550000 =176790

P outlet = 726KPa approx