{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

ps_4 - DOWNSTREAM PROCESSING Problem Set#4 Problem 1...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
D OWNSTREAM P ROCESSING Problem Set #4 Problem 1 Streptomycin is an antibiotic used in combination with other drugs to treat tuberculosis (TB), which is a chronic bacterial infection. Suppose that you are running a fungal fermentation to produce this antibiotic and that the biomass titer at harvest is 20 g/L. To separate the biomass from the streptomycin product, you will harvest the fermentation broth, add filter aid to a concentration of 150 g/L, and proceed to perform the primary separation using a rotary vacuum filter. In pilot studies using a filter having 1.5 m 2 area, the pressure drop across the filter is 12 psi and the data shown in Table 1 are collected. Table 1: Filtration Time and Volume of Filtrate Collected Filtration Time (min) Total Volume Collected (L) 3 5.0 28 20.0 293 65.0 375 75.0 512 85.0 The viscosity of the filtrate is 2.69 x 10 -4 lb/ft-s and the cake is compressible with a resistance (R c ) that can be expressed as follows: c o V R A = αρ where α = specific cake resistance (length/mass) ρ o = mass of cake solids per volume of filtrate V = filtrate volume A = filter area 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
a) Derive an equation that relates area (A), time (t), and volume (V) to area and volume in the following functional form (f means function of): At V f V A = b) Use your answer from part a to determine the value of α (in units of ft/lb) and the filter resistance R m
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}