EG-203 Equations Flashcards
(Active Enzyme) [E]_active =
[E]_active = ([E]_0)(e^(-kdt))
(Half Life) t_1/2 =
t_(1/2) = ln(2) / k_d
rate, r
r = ((V_m)*[S]) / ((K_m) + [S])
k =
k = A * e^(-E_a/RT)
V_m =
V_m = (k_2) * [E]_0
K_m =
K_m = ((k_-1) + (k_2)) / (k_1)
X =
X = (X_0) * (e^(μ*t))
t_d =
t_d = ln2 / μ
μ =
μ = ((μ_m) * [S]) / (k_s + [S])
Y_x/s =
Y_x/s = (-)(X - X_0) / ([S] - [S]_0)
(batch) (n_t) / (n_0) =
(batch) (n_t) / (n_0) = e^((-k_d) * (t))
(continuous) (n_t) / (n_0) =
(continuous) (n_t) / (n_0) = e^((-k_d) * (τ_hold))
dV_f / dt =
dV_f / dt = (A * ∆P) / (μ_f (r_c + r_m))
r_c =
r_c = (α) * ((c * V_f) / (A))
α =
α = (α’) * (∆P)^(S)
OTR =
OTR = (k_La) * ((C*) - (C_L))
OUR =
OUR = (q_o2) * (X) = (μ * X) / (Y_x/o2)
Y_x/o2 =
Y_x/o2 = (-) ((X) - (X_0)) / ([O2] - [O2]_0)
(Integration) ∫ x^(n) dx =
∫ x^(n) dx = (1 / (n + 1)) * (x^(n+1))
(Integration) ∫ (1 / x) dx =
∫ (1 / x) dx = ln ( x )
(Integration) ∫ e^(ax) dx =
∫ e^(ax) dx = (1 / a) * (e^(ax))
(Integration) ∫ 1 / (ax + b) dx =
∫ 1 / (ax + b) dx = (1 / a) * (ln(ax+b))
Circumference of a Circle
pi * Diameter
Area of Circle
pi * Radius^2
Volume of Cylinder
pi * Radius^2 * Height
(scale up/ down) - Constant mixing time
Constant Parameter = N
(scale up/ down) - Constant shear (tip speed)
Constant Parameter = (N) (D_i)
(scale up/ down) - Constant Re number
Constant Parameter = (N) (D_i)^2
(scale up/ down) - Constant Oxygen Transfer Rate
Constant Parameter = (N)^3 (D_i)^2
