The following data were observed in a constant-pressure filtration unit for filt

Question

The following data were observed in a constant-pressure filtration unit for filtration of a yeast suspension. T (min)120 V (L filtrate) 1130 Characteristics of the filter are as follows: , , , a) Determine the pressure drop across the filter. Assume medium resistance is negligible. The cake formed is incompressible. b) Determine the size of filter for the same pressure drop to process 4000 L of cell suspension in 20 minutes. c) Your pump is set to expire soon. You have the option of purchasing a new pump that will deliver a pressure drop of 0.05 Pa. From a monetary standpoint, should you buy the new pump, or replace your current one? Why or why not? The new pump would cost $3,500 + $1/hr to run A replacement of your old pump costs $2,500 + $0.70/hr to run A pump is expected to last 6 months (assume month = 30.5 days for convenience). You need to collect 20 m^3of filtrate each day. Use the parameters you solved for in part b). The following data were observed in a constant-pressure filtration unit for filtration of a yeast suspension. T (min)120 V (L filtrate) 1130 Characteristics of the filter are as follows: , , , a) Determine the pressure drop across the filter. Assume medium resistance is negligible. The cake formed is incompressible. b) Determine the size of filter for the same pressure drop to process 4000 L of cell suspension in 20 minutes. c) Your pump is set to expire soon. You have the option of purchasing a new pump that will deliver a pressure drop of 0.05 Pa. From a monetary standpoint, should you buy the new pump, or replace your current one? Why or why not? The new pump would cost $3,500 + $1/hr to run A replacement of your old pump costs $2,500 + $0.70/hr to run A pump is expected to last 6 months (assume month = 30.5 days for convenience). You need to collect 20 m^3of filtrate each day. Use the parameters you solved for in part b). The following data were observed in a constant-pressure filtration unit for filtration of a yeast suspension. T (min)120 V (L filtrate) 1130 Characteristics of the filter are as follows: , , , a) Determine the pressure drop across the filter. Assume medium resistance is negligible. The cake formed is incompressible. b) Determine the size of filter for the same pressure drop to process 4000 L of cell suspension in 20 minutes. c) Your pump is set to expire soon. You have the option of purchasing a new pump that will deliver a pressure drop of 0.05 Pa. From a monetary standpoint, should you buy the new pump, or replace your current one? Why or why not? The new pump would cost $3,500 + $1/hr to run A replacement of your old pump costs $2,500 + $0.70/hr to run A pump is expected to last 6 months (assume month = 30.5 days for convenience). You need to collect 20 m^3of filtrate each day. Use the parameters you solved for in part b).

Explanation / Answer

a) Using the Darcy's law flow we know that k/.p/L =Q/A where k= cake permiability, = water viscocity,p =pressure drop, L=cake thickness, Q=volumetric flow rate and A = area of the filter

Now Q =dV/dt = 1130^3/120, L=1130,( we take standard value of) k and =8.90*10^-3dyne.s/cm^2

considering medium resistance negligible we use p =QL/A* =1130^3/120*1130/1130^2 *8.90*10^-3= 94.70 dyne

b) using p= 94.70 dyne, Q= 4000^3/20, L=?, A=L^2 and =8.90*10^-3dyne.s/cm^2

p =QL/A*

or 94.70 =4000^3/20 L/L^2 *8.90*10^-3

or L= 3.007*10^3 units

c)

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