{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

che361_hw6

# che361_hw6 - Homework#6 ChE 361 Fall 2010 Consider a...

This preview shows pages 1–2. Sign up to view the full content.

Homework #6 ChE 361 Fall 2010 Consider a biochemical reactor where biomass and a desired product are produced by microbial growth from a single, rate limiting substrate. Denote the biomass concentration as X , the sub- strate concentration as S , and the product concentration as P . The substrate is continuously supplied to the bioreactor at volumetric flow rate F and concentration S i . A liquid stream is continuously removed from the bioreactor at volumetric flow rate F such that the liquid volume V remains constant. The specific growth rate has the form: μ ( S, P ) = μ m 1 - P P m · S K m + S + S 2 K i where the constants K i and P m reflect growth inhibition by high concentrations of substrate and product, respectively. The bioreactor is described by the following mass balance equations: dX dt = - DX + μ ( S, P ) X = f 1 ( X, S, P ) dS dt = D ( S f - S ) - 1 Y X/S μ ( S, P ) X = f 2 ( X, S, P ) dP dt = - DP + ( αμ ( S, P ) + β ) X = f 3 ( X, S, P ) where D = F/V . Consider the following parameter values: Y X/S = 0.4 g/g, α = 2.0 g/g, β = 0.2 hr - 1 , μ m = 0.50 hr - 1 , P m = 50 g/L, K m = 1.0 g/L, K i

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern