Engineering, 25.02.2020 19:22, finesser16

It takes 45 minutes to filter 0.2 m³ suspension of Bacillus subtilis cells under p = 20 psi, for recovery of protease. The filter area is 0.25 m2, and the filtrate viscosity is 15 cP. The cell suspension deposits 50 g cake per liter of filtrate and forms a compressible cake.
If α' = 0.35 [min/m²⋅Cₚ⋅psiˢ⁻¹(g/L)], and resistance due to filter medium is negligible.
(a) What is the compressibility factor s'?
(b) Find the time required to filter a volume of filtrate such that V/A ratio is increased by a factor of 5 (i. e. V/A 5 times the initial VA)

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It takes 45 minutes to filter 0.2 m³ suspension of Bacillus subtilis cells under p = 20 psi, for rec...