Problem 11.90 Part A Impure water at 20° C enters the retention tank and rises t

Question

Problem 11.90 Part A Impure water at 20° C enters the retention tank and rises to a level of 8 = 1.6 m when it stops flowing in. Assume the density of the particles is -1.6 Mg/m" or greater For water at 20° C pw-9983 kg/m3 and Determine the shortest time needed for all sediment particles having a diameter of 0.05 mm or greater to settle to the bottom. Express your answer using three significant figures 1.00 (10-6) m2/s. Note: The volume of a sphene s Y = (Figure 1) t= 40.6 min Figure 1 4 of 1 Submit My Answers Give Up Incorrect; Try Again; 5 attempts remaining Continue 5 m

Explanation / Answer

kinematic viscosity of water = 1*10-6 m2/s

dynamic viscosity of water = 1*10-6*998.3=9.983*10-4 kg/m-s

settling velocity of particle is given by

vs = 2(1600-998.3)*9.8*(0.025*10-3)2/(9*9.983*10-4)=8.2*10-4 m/s

Depth of water = 1.6 m

Timem taken by particle to settle to bottom = 1.6/(8.2*10-4)=1950.3 seconds = 32.5 minutes

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