A tank initially contains 200 gallons of water in which 50 lbs of salt are dissolved. A salt solution containing 0.5 lb of salt per gallon is poured into the tank at a rate of 1 gal/min. The mixture in the tank is stirred and drained off at the rate of 2 gal/min. a) Find the amount of salt in the tank until the tank is empty. b) Find the concentration of salt in the tank until the tank is empty.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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A tank initially contains 200 gallons of water in
which 50 lbs of salt are dissolved. A salt solution
containing 0.5 lb of salt per gallon is poured into
the tank at a rate of 1 gal/min. The mixture in the
tank is stirred and drained off at the rate of 2
gal/min.
a) Find the amount of salt in the tank until the
tank is empty.
b) Find the concentration of salt in the tank until
the tank is empty.
Where:
x (t) = amount of substance dissolve in the
solution at any time t
ri
=
container
SHOW FBD
flow rate of the solution coming in the
C₁ = concentration of the solution coming into
the container
dx
dt
ro =
flow rate of the solution coming out from
the container
Co
= concentration of the solution coming out
from the container
||
r¡Ci - roCo
Transcribed Image Text:A tank initially contains 200 gallons of water in which 50 lbs of salt are dissolved. A salt solution containing 0.5 lb of salt per gallon is poured into the tank at a rate of 1 gal/min. The mixture in the tank is stirred and drained off at the rate of 2 gal/min. a) Find the amount of salt in the tank until the tank is empty. b) Find the concentration of salt in the tank until the tank is empty. Where: x (t) = amount of substance dissolve in the solution at any time t ri = container SHOW FBD flow rate of the solution coming in the C₁ = concentration of the solution coming into the container dx dt ro = flow rate of the solution coming out from the container Co = concentration of the solution coming out from the container || r¡Ci - roCo
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