Question

it is well know that the coffee brewed in Seattle, WA is far superior in flavor to the coffee brewed in Oklahoma City. Therefore it has been proposed to build a pipeline from Seattle to OKC to deliver fresh brewed coffee. The proposed pipeline will be 2000 miles long. There are about 333,000 coffee drinkers in the OKC area and they drink, on average, 3 cups per day. The pipeline will be made of smooth tubing with an inner diameter of Scm. The maximum pressure for this type of tubing is about 300 m of water head. How many pumping stations will be required for the entire pipeline? (You may assume that the physical properties of coffee are identical to water.)

Answer 1

There is no mention about the volume of coffee cup.

Let volume of each cup=150 mL

This can be varies according to data.

length of Pipe line = 2.000 miles L= 2000 miles x 1609.304 m = 3218 6880 m mule drameter of pipe 8 cm = 0.08m =D Maximum heada 30om water of water = 1x100 para AP= 300mx looo kg x 9.81 m3 a OP = 2 943000 pa - © station Volumetric flow Rate Required No. of person = cups per day= 3/day let coffee cup volume = 150 ML= 0.150 L= lisxiohm3 333000 80 Total flow Rate - 1.5x10 m3 x 3 cup cup x 333,000 pusony day day-person (24x3600) q= 1.734X103 m² According to Hagen posuellis equator Ap= 128 4 L.Q TDY op=128x 1x 16% pa-xx 32186880m x 1-734 xío ml T (0.00m) 4 Ap= 55529279 pa station Required= AP Apperstarono 55529279 pa 2943000 pepump 2- 19

So station are

Nearly 19