Question
In: Math
A large tank holds 1000 L of water into which flows a brine solution with concentration...
A large tank holds 1000 L of water into which flows a brine solution with concentration of 1 kg / L at a rate of 6 L / min. The solution in the tank is kept well stirred and is flowing out of the tank at a rate of 5 L / min. Determine when the concentration of salt will reach 0.5 kg / L.
Solutions
milcah answered 2 years agoRelated Solutions
Consider a large tank holding 50 gal of pure water into which a brine solution of...
Consider a large tank holding 50 gal of pure water
into which a brine solution of salt begins to flow at a constant
rate of 6 gal/min. the brine leaves the tank at a rate of 5
gal/min. If the concentration of salt in the brine entering the
tank is 0.1 lbs per gallon, determine the function X that will
determine the amount of brine in the tank at any time t.
A brine solution of salt flows at a constant rate of 8 L/min into a large...
A brine solution of salt flows at a constant rate of 8 L/min
into a large tank that initially held 100 L of brine solution in
which was dissolved 0.15 kg of salt. The solution inside the tank
is kept well stirred and flows out of the tank at the same rate. If
the concentration of salt in the brine entering the tank is 0.03
kg/L, determine the mass of salt in the tank after t min. When
will the...
A brine solution of salt flows at a constant rate of 4 L/min into a large...
A brine solution of salt flows at a constant rate of 4 L/min
into a large tank that initially held 100 L of pure water. The
solution flows out of the tank at a rate of 3 L/min. Set up a DE
that governs this situation in terms of the mass of salt in the
tank. Solve it.
A brine solution of salt flows at a constant rate of 4 L/min into a large...
A brine solution of salt flows at a constant rate of 4 L/min
into a large tank that initially held 100 L of pure water. The
solution inside the tank is kept well stirred and flows out of the
tank at a rate of 3 L/min. If the concentration of salt in the
brine entering the tank is 0.6 kg/L, determine the mass of salt in
the tank after t min. When will the concentration of salt in the
tank...
A tank contains 20 kg of salt dissolve in 7000 L of water. Brine that contain...
A tank contains 20 kg of salt dissolve in 7000 L of water. Brine
that contain 0.041 kg of salt per liter of water enters the tank at
a rate of 25 L/min. The solution is kept thoroughly mixed and
drains from the tank at the same rate. How much Kg salt remains in
the tank if as time approaches to infinite?
(1 point) A tank is filled with 1000 liters of pure water. Brine containing 0.05 kg...
(1 point) A tank is filled with 1000 liters of pure water. Brine
containing 0.05 kg of salt per liter enters the tank at 6 liters
per minute. Another brine solution containing 0.07 kg of salt per
liter enters the tank at 9 liters per minute. The contents of the
tank are kept thoroughly mixed and the drains from the tank at 15
liters per minute. A. Determine the differential equation which
describes this system. Let S(t) denote the number...
(62). (Transient Behavior of a Mixing tank): A tank initially holds 80 gal of a brine...
(62). (Transient Behavior of a Mixing tank): A tank initially
holds 80 gal of a brine solution containing 0.125 lb of salt per
gallon. At t=0, another brine solution containing 1 lb of salt per
gallon is poured into the tank at a rate of 4 gal/min, while the
well-stirred mixture leaves the tank at a rate of 8 gal/min. (a)
Formulate a model for describing the transient behavior of the tank
(b) Find the amount of salt in the...
A tank contains 40 lb of salt dissolved in 400 gallons of water. A brine solution...
A tank contains 40 lb of salt dissolved in 400 gallons of water.
A brine solution is pumped into the tank at a rate of 4 gal/min; it
mixes with the solution there, and then the mixture is pumped out
at a rate of 4 gal/min. Determine
A(t),
the amount of salt in the tank at time t, if the
concentration of salt in the inflow is variable and given by
cin(t)
= 2 + sin(t/4) lb/gal.
A(t) =
Suppose that a large mixing tank initially holds 500 gallons of water in which 50 pounds...
Suppose that a large mixing tank initially holds 500 gallons of
water in which 50 pounds of salt have been dissolved. Another brine
solution is pumped into the tank at a rate of 3 gal/min, and when
the solution is well stirred, it is then pumped out at a
slower rate of 2 gal/min. If the concentration of the
solution entering is 2 lb/gal, determine a differential equation
(in lb/min) for the amount of salt A(t) (in lb)
in the...
Suppose that a large mixing tank initially holds 400 gallons of water in which 65 pounds...
Suppose that a large mixing tank initially holds 400 gallons of
water in which 65 pounds of salt have been dissolved. Another brine
solution is pumped into the tank at a rate of 6 gal/min, and when
the solution is well stirred, it is pumped out at a slower rate of
5 gal/min. If the concentration of the solution entering is 3
lb/gal, find the amount of salt in the tank after 10 minutes.
PLEASE SHOW ALL WORK AND USE...
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