A 400-gallon capacity tank initially contains salt solutions consisting 150 gallon of water and 25 Ibs of salt. The salt solution containing 2 lb of salt per gallon is allowed to enter the tank at a rate of 10 gal/min and leaves at a rate of 5 gal/min. Find the amount of salt in the tank at the end of 30 minutes.    ans: Q(30)= 462.5

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A 400-gallon capacity tank initially contains salt solutions consisting 150 gallon of water and 25 Ibs of salt. The salt solution containing 2 lb of salt per gallon is allowed to enter the tank at a rate of 10 gal/min and leaves at a rate of 5 gal/min. Find the amount of salt in the tank at the end of 30 minutes. 

 

ans: Q(30)= 462.5

 

Mixing and Flow
dQ
dt
Q = amount of solute
• IN
= IN - OUT
=
Rin Cin
• OUT = Rout Cout
R = volumetric flowrate
L gal
, etc.
min' hr
• C = concentration of solute
●
Assumption: well-mixed tank
(concentration is uniform
throughout the tank)
Q (t)
V (t)
V(t) = V(0) + Vin - Vout
Cout
Qout
Vout
=
Transcribed Image Text:Mixing and Flow dQ dt Q = amount of solute • IN = IN - OUT = Rin Cin • OUT = Rout Cout R = volumetric flowrate L gal , etc. min' hr • C = concentration of solute ● Assumption: well-mixed tank (concentration is uniform throughout the tank) Q (t) V (t) V(t) = V(0) + Vin - Vout Cout Qout Vout =
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