Question

suppose a large tank has 300 gallon of brine solution. Brine sol. was being pumped into the tank at a rate of 3 gal/min. it mixed with the solution there and then the mixture was pumped out at the rate of 2 gal/min. the concentraion of salt in the inflo or solution entering was 2 lb/gal. initially, 50 pounds of salt were dissolved in the 300 gallons.

find the amount of salt in tank at time t.

if the tank has an open top and a total capacity of 400 gallons. when will the tank overflow.

what will the number of salt in the tank at the instant it overflows

now assume that the mixture waspumped out at a rate of 4 gal/min. find the amount of salt in the tank at time t.

when will thw tank be empty.

Answer #1

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suppose a large tank has 300 gallon of brine solution. Brine
sol. was being pumped into the tank at a rate of 3 gal/min. it
mixed with the solution there and then the mixture was pumped out
at the rate of 2 gal/min. the concentraion of salt in the inflo or
solution entering was 2 lb/gal. initially, 50 pounds of salt were
dissolved in the 300 gallons. Please answer clearly. Thank u.
a find the amount of salt in tank...

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 tank contains 70 lb of salt dissolved in 200 gallons of water.
A brine solution is pumped into the tank at a rate of 2 gal/min; it
mixes with the solution there, and then the mixture is pumped out
at a rate of 2 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 tank contains 30 gallons of brine solution containing 10 lb of
salt. Another brine solution of concentration of 3 lb/gallon is
poured into the tank at the rate of 2 gallons/min. The well stirred
solution in the tank is drained out at the rate of 2 gallons/min.
Let the amount of salt in the tank at time ? be ?(?).
Write the differential equation for A(t) and solve it.

A tank is filled with 10 gallons of brine in which is dissolved
5 lb of salt. Brine containing 3 lb of salt per gallon enters the
tank at a rate of 2 gal per minute, and the well-stirred mixture is
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minutes? (c) How much salt is in the tank after...

A 110 gallon tank initially contains 5 lbs salt dissolved in 60
gallons of water. Brine containing 1 lb salt per gallon begins to
flow into the tank at the rate of 3 gal/min and the well-mixed
solution is drawn off at the rate of 1 gal/min. How much salt is in
the tank when it is about to overflow? (Round your answer to the
nearest integer.)

A 50-gallon tank initially contains 10 gallons of fresh water.
At t = 0, a brine solution containing 2 pounds of salt per gallon
is poured into the tank at a rate of 5 gal/min. The well-stirred
mixture drains from the tank at a rate of 3 gal/min. Find the
amount of salt in the tank at the moment of overflow. Please use
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answer in decimal form. I did this...

Using differential equation:
A 200- gallon tank initially contains 40 gallons of brine in
which 10 pounds of salt have been dissolved. Starting at t=0 ,
brine containing 5 pounds of salt per gallon flows into the tank at
rate of 6 gallons per minutes. At the same time, the well-stirred
mixture flows out of the tank at the slower rate of 4 gallons per
minute.
a)How much salt is in the tank at the end of t minutes?
b)...

A large tank contains 800 gal of water in which 42 lb of salt
are dissolved. Brine
containing 2 lb of of dissolved salt per gal is pumped into the
tank at a rate of
4 gal per minute, and the mixture, kept uniform by stirring, is
pumped out at
the same rate.
(a) Find the amount x(t) of salt in the tank, at time t.
(b) How long will it take for the amount of salt in the tank...

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min, the tank contains 20/e lb of salt. Find the initial
concentration of the brine solution inside the tank. Ans.: 0.20
lb/gal

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