The capacity of a certain filtering equipment is defined as the volume of the filtrate (Vt) per totaltime per run. The total time of run istf + tw + tcwhere t is the total time per runt =tę is the filtration timetw is the washing time, normally 1/5 of tfte is the assembling and dismantling time, constant at 7 hrsper runThe volume of the filtrate (V;) is a function of tf, is given by:V; = 150 /tf + 0.15Find the maximum capacity of the filtering equipment with respect to the filtration time tr.

Given that, vf=150tf+0.15 Now take the derivative for vf with respect to tf…

The capacity of a certain filtering equipment is defined as the volume of the filtrate (Vt) per total time per run. The total time of run is tf + tw + tc where t is the total time per run t = tf is the filtration time tw is the washing time, normally 1/5 of tf t, is the assembling and dismantling time, constant at 7 hrs per run The volume of the filtrate (V¢) is a function of tf, is given by: Vf = 150,/t, + 0.15 Find the maximum capacity of the filtering equipment with respect to the filtration time t.

The capacity of a certain filtering equipment is defined as the volume of the filtrate (Vt) per total time per run. The total time of run is tf + tw + tc where t is the total time per run t = tf is the filtration time tw is the washing time, normally 1/5 of tf t, is the assembling and dismantling time, constant at 7 hrs per run The volume of the filtrate (V¢) is a function of tf, is given by: Vf = 150,/t, + 0.15 Find the maximum capacity of the filtering equipment with respect to the filtration time t.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

The capacity of a certain filtering equipment is defined as the volume of the filtrate (Vt) per total
time per run. The total time of run is
tf + tw + tc
where t is the total time per run
t =
tę is the filtration time
tw is the washing time, normally 1/5 of tf
te is the assembling and dismantling time, constant at 7 hrs
per run
The volume of the filtrate (V;) is a function of tf, is given by:
V; = 150 /tf + 0.15
Find the maximum capacity of the filtering equipment with respect to the filtration time tr.

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