A batch centrifugal filter having a bowl diameter of 750 mm and a bowl height of 450 mm is used to filter a suspension having the following properties:

The final cake is washed with water under such conditions that the radius of the inner surface of the liquid is 200 mm. Assuming that the rate of flow of wash water equals the final rate of flow of filtrate, what is the rate of washing in cubic meters per hour?

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Liquid, water Temperature, 25°C Concentration of solid in feed. 60 g/L Porosity of cake, 0.435 Density of dry solid in cake, 2,000 kg/m³ Final thickness of cake, 150 mm Speed of centrifuge, 2,000 r/min Specific cake resistance, 9.5 x 1010 ft/lb Filter medium resistance, 2.6 x 1010 ft-¹