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.

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

Problem 1P

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Concept explainers

Temperature related material properties

Temperature-related properties of materials are the properties that change or show any variation with temperature variations. Various properties of materials include physical properties, mechanical properties, chemical properties, electrical properties, magnetic properties, etc. The chemical, electrical, and magnetic properties of materials are important, but the physical and mechanical properties are more important. Based on their composition and chemical bonding, materials are classified as metals, ceramics, polymers, and composites.

Question

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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