Which of the following statement are correct?

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#Question id: 14627

#Section 5: Bioprocess Engineering and Process Biotechnology

In a batch production of penicillin, 40 m³ capacity of the plant, sterile air is required to be supplied. The bioreactor requires 1 vvm (volume of air/volume of broth. min). The incoming air contains 3000 cells/m³of air, for 100 hours operation. Calculate the depth of filter if the penetration of bacteria is 1 in 1 million. 

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#Question id: 14628

#Section 5: Bioprocess Engineering and Process Biotechnology

Microbial cells are separated from a culture broth at a flow rate of 3.35 x10^-3m3/5. Assume the cells are spherical with average diameter of 111m. Select a centrifuge that can perform this separation. Given data: p_cell =1.1, P_water,=997 kgm^-1 at 25 °C; P_broth = 3p_water, and the viscosity of water is 0.9 x 10^-3 N.s/m² 

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#Question id: 14629

#Section 5: Bioprocess Engineering and Process Biotechnology

Microbial cell recovery is carried out in a continuous disc-stack centrifuge. The centrifuge is operated at 5000 rpm for separation of baker's yeast. At a feed rate of 60 1/min, 50% of the cells are recovered. At constant speed, solid recovery is inversely proportional to flow rate. What flow rate is required to recover 90% of cells if the centrifuge speed is fixed at 5000 rpm? 

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#Question id: 14630

#Section 1: Engineering Mathematics

The series whose n^th term is sin 1/n is

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#Question id: 14631

#Section 1: Engineering Mathematics

The series 

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#Question id: 14632

#Section 1: Engineering Mathematics

The interval in which Lagrange’s theorem is applicable for function