Question

Calculate the density of fluid having an absolute viscosity of 0.89 Ns/m^2 and kinematic viscosity of 2 m^2/s.

(a) 0.445 kg/m^3

(b) 0.440 kg/m^3

(c) 0.544 kg/m^3

(d) 0.550 kg/m^3

I had been asked this question by my college professor while I was bunking the class.

My enquiry is from Factors Affecting Broth Viscosity in portion Fluid Flow and Mixing of Bioprocess Engineering

Answer 1

The correct option is (a) 0.445 kg/m^3

To explain I would say: Known: Absolute viscosity μ = 0.89 Ns/m^2, kinematic viscosity ν = 2 m^3/s.

The density is given by,

\(p=\frac{u}{v}\)

\(p=\frac{0.89 Ns^2}{2 m^2}\)

p = 0.445kg/m^3

Therefore, the density of fluid is 0.445kg/m^3.