Mechanical Operations
At low Reynold's number, the power (P) required for agitating a fluid in a stirred tank becomes independent of inertial forces. In this limit, indicate which of the following relations is satisfied: Po = ρ/ρN3 D5 : Power number Re = ρ N D2/μ: Reynold's number N is the impeller rotational speed, and D is the impeller diameter.

Po ∝ Re1.0
Po ∝ Re-1.0
Po ∝ Re0.0
Po ∝ Re0.5

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Mechanical Operations
A centrifugal filtration unit operating at a rotational speed of w has inner surface of the liquid (density ρL) located at a radial distance R from the axis of rotation. The thickness of the liquid film is δ and no cake is formed. The initial pressure drop during filtration is

½w² . R² . ρL
½w² . δ² . ρL
½w² . R . ρL(R + 2δ)
½w² . δρL (2R + δ)

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