Consider a homogeneous spherical bacterium with a radius of 10 cm . A substance A bacteria diffuses into it, where a

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(a), using the boundary conditions given below solve it. (Reaction rate constant, k=0.8 min -1 and diffusion coefficient, D=0.2 cm 2 /min) Boundary Conditions; SK1: r = 0.01 cm C A = 0 mol/cm 3 SK2: r = 1cm C A = 10 mol/cm 3

Consider a homogeneous spherical bacterium with a radius of 10 cm . A substance A bacteria diffuses into it, where a first-order reaction takes place. In the steady state , ignoring the term convective transfer; a) Derive the differential equation giving the change in substance A concentration. b) Using the differential equation you found in part (a), using the boundary conditions given below solve it. (Reaction rate constant, k=0.8 min -1 and diffusion coefficient, D=0.2 cm 2 /min) Boundary Conditions; SK1: r = 0.01 cm C A = 0 mol/cm 3 SK2: r = 1cm C A = 10 mol/cm 3

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