Apple juice (viscosity 1.6 cP) is filtered through a 2 m² filter at constant pressure; solid concentration in filtrate = 0.04 g/mL; total pressure drop = 325.33 kPa; cake resistance α = 1.85×10¹¹ m/kg, filter-medium resistance Rm = 3.50×10¹¹ m⁻¹. Find the time to filter 800 L (hour). (Answer in integer)
Official Answer Key:
1
Step-by-Step Solution & Explanation
Constant-pressure filtration equation: t = (μαc)/(2A²ΔP)·V² + (μRm)/(AΔP)·V, with μ=1.6×10⁻³ Pa·s, c=40 kg/m³, A=2 m², ΔP=325330 Pa, V=0.8 m³. Substituting gives t ≈ 3600 s = 1.00 hour.
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