Particle Technology

Filtration

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Problems 4.10

Question 2.viii

The specific resistance of the cake is 6.7x10¹⁰ m kg^-1, the dry cake mass per unit volume of filtrate is 116 kg m^-3, the liquid viscosity is 0.001 Pa s and the filter area is 0.0314 m²

The general filtration equation is You will need to integrate this equation under conditions of constant pressure; i.e. only V and t vary. You will also need to convert the pressure drop into SI units using depth x density x g.

The time taken to filter the suspension, if the medium resistance can be neglected and the differential pressure forming the cake was 36 cm of mercury (density 13600 kg m^-3), was (s):

	a) 55 b) 998 c) 1572 d) 1747
The only variables in the filtration equation are V and t, and Rm = 0.

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