Answer:
The Growth rate constant (k) will be = per minute or 0.308 per hour.
Explanation:
Given,
N₀ = 4596 cells / ml
N = 206104972 cells / ml
t = 15 hours
We know that,
n =
Where,
n = no. of generation during the period of exponential growth.
∴ n =
=
= 3.3 × 44844.42
∴ n = 15.350
We know that,
g =
Where,
g = generation time
t = duration of exponential growth
∴ g = or ∴ g =
= = 15 / 15.350
= 900 / 15.350 ∴ g = 0.977 hours
∴ g = 58.63 minutes
We know that,
k =
Where, k = specific growth rate
∴ k = or ∴ k =
= 0.301 / 58.63 = 0.301 / 0.977
∴ k = per minutes ∴ k = 0.308 per hour