A centrifugal pump takes brine from the bottom of a supply tank and delivers it into the bottom of another tank. The brine level in the discharge tank is 150 ft above that in the supply tank. The line between the tanks is 600 ft of 4-in. Schedule 40 commercial steel pipe. The flow rate is 400 gal/min. In the line are two gate valves, four standard tees, and four ells. The specific gravity of brine is 1.18, the viscosity of brine is 1.2 cP, and the energy cost is $400 per horsepower-year on a basis of 300 days per year. The overall efficiency of pump and motor is 60 %. i. What is the equation for skin friction loss, Fs? ii. What is the total form friction head loss in ft is? iii. Setting our reference points on the surface of the brine in the two tanks and using the mechanical energy balance, the theoretical shaft work needed (in lbf*ft/lbm) is ?

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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A centrifugal pump takes brine from the bottom of a supply tank and delivers it into the bottom of another tank. The brine level in the discharge tank is 150 ft above that in the supply tank. The line between the tanks is 600 ft of 4-in. Schedule 40 commercial steel pipe. The flow rate is 400 gal/min. In the line are two gate valves, four standard tees, and four ells. The specific gravity of brine is 1.18, the viscosity of brine is 1.2 cP, and the energy cost is $400 per horsepower-year on a basis of 300 days per year. The overall efficiency of pump and motor is 60 %.

i. What is the equation for skin friction loss, Fs?

ii. What is the total form friction head loss in ft is?

iii. Setting our reference points on the surface of the brine in the two tanks and using the mechanical energy balance, the theoretical shaft work needed (in lbf*ft/lbm) is ? 

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