Answer to Question #127991 in General Chemistry for mary

Question

A rotary vacuum filter is available with an area of 200 m2 and vacuum pressure of 75
kPa. Filter leaf tests have been performed on a cell broth with a viscosity of 5 cP.
The leaf tests gave a specific cake resistance of 1×1011 cm/g and medium
resistance of 1×108 cm-1. The cake solids (dry basis) per volume of filtrate was 15
g/L. It is desired to operate the large filter with cycle time of 45 s and a cake
formation time of 10 s. What is the filtration rate expected for the rotary vacuum
filter? How significant is the resistance medium?

Answer 1

$$Wash Rate = {V_w \over At_w}$$

$$FiltrationRate = {1 \over A}{dV \over dT}$$