Bioseparations Science And Engineering Solution Manual < SIMPLE | HOW-TO >

where ρ_c = cell density, ρ_m = medium density, d = cell diameter, ω = angular velocity, and μ = medium viscosity.

where V_t = total volume, V_0 = void volume, and V_c = column volume.

V_r = 10 + 1 * (50 - 10) = 40 mL Problem 2 : A cell suspension has a cell concentration of 10^6 cells/mL. The cells have a diameter of 10 μm and a density of 1.05 g/cm^3. Calculate the centrifugal acceleration required to achieve a 90% separation of cells from the suspension in 10 minutes. bioseparations science and engineering solution manual

Solving for ω and a_c:

ΔP = μ * R_m * J

Assuming ρ_m = 1 g/cm^3 and μ = 0.01 Pa·s:

ω = 104 rad/s

J = 10^5 / (0.01 * 10^12) = 10^-5 m/s

For 90% separation in 10 minutes, the required terminal velocity is: where ρ_c = cell density, ρ_m = medium