Please show the calculation steps. Thanks

6. A slurry is filtered so that the initial period of filtration is carried out at a constant rate with the feed pump at full capacity until the pressure reaches 4 bar. Thereafter the filtration is carried out at constant pressure maintained at this value until the end of filtration. The constant rate operation requires 1200 s and 30% of the total filtrate is obtained during this period. Neglect the resistance of the filter medium. 8/ 8 [EKC 313] [a] Determine the total filtration time. [8 marks] [b] Determine the filtration time with the existing pump for the maximum daily capacity. Consider time for removing the cake, washing and reassembling the press is 1000s. [Assume constant pressure filtration for this case]. Useful formula given: dVdt=AP(ACV+RM) for filtration. Where: tVARMCP=timeoffiltration=Volumeoffiltrateatatime,t=Areaoffiltration=Resistanceofthefiltermedium=specificresistanceofthecake=Viscosityoffitrate=Pressuredrop [12 marks]