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In preparation for a polymerization process atank of volume ( V ) and cross sectional area ( A ) is fed through a horizontal pipeline

In preparation for a polymerization process atank of volume (V) and cross sectional area (A)is fed through a horizontal pipeline at a constant mass flow rate Min* To adiust the level ofthe fluid U the tank, a valve located at the bottom of the tank allows to control the outflow;Tiout' also pawunsseto be constant.(a) Write a balance equation to derive a general expression for the variation of the fluidheight, knowing that itis initily (ho).Assume the fluid to be incompressible(b) What: should be the discharge volumetric flow rate if wewant the tank to fill in exactlyone hour? The following information is given: A=1m^2, h_0-=0.2m, total height of the tank isH=2m and the inlet flow from the pipe is 11/s.(c) What is the shortest time to fill completely the tank whichwas initially empty whileensuring that the flow in the pipe remains laminar? The following information is supplied:A=1m^2 H=2m, Gout=0.5 m^3/h. The pipe Cross sectionalarea is a=0.04m and the kinematicviscosity of the fluid lisv=10-6m /s

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