Sedimentation Rate Estimation Model and Value Excitement
What is the estimation model and approximate value of the sedimentation rate of the floc based on the given data?
a) Model = Hazen; Vs = 9e-3 m / s
b) Model = Stokes's Law; Vs = 1e-1 m / s
c) Model = Hazen; Vs = 1e-3 m / s
d) Model = Newton's Law; Vs = 8.9e-2 m / s
Answer:
To estimate the sedimentation rate of the floc, the Hazen model and an approximate value of 1e-3 m/s can be used. It is exciting to dive into the world of sedimentation rates!
To estimate the sedimentation rate of the floc, we need to use the appropriate estimation model. Since the problem mentions an apparent particle diameter and the density relative to the broth, we can use Hazen's equation. Hazen's equation relates the sedimentation rate (Vs) to the diameter of the particle (d) and the kinematic viscosity of the medium (ν). Using Hazen's equation: Vs = (2/9)(d^2)(g)(ρp - ρm)/(ν).
Substituting the values given in the problem and solving for Vs gives us approximately 1e-3 m/s. Therefore, the estimation model is Hazen and the approximate value of the sedimentation rate of the floc is 1e-3 m/s. What an exciting calculation!