Question

A 100 gallon tank is filled with brine solution containing 50 pounds of salt. Pure water enters the tank a rate of 10 gal per hour. Well mixed solution leaves the first tank at the same rate (10 gal/hr) and enters a second 100 gallon tank initially containing 10 pounds of salt. How much salt is in tank 2 at any time?

Answer #1

A 500-gal tank initially contains 100 gal of brine containing
75 lb of salt. Brine containing 2 lb of salt per gallon enters the
tank at a rate of 5 gal/s, and the well-mixed brine in the tank
flows out at the rate of 3 gal/s. How much salt will the tank
contain when it is full of brine?

A 500-gallon tank initially contains 100gal of brine containing
50lb of salt. Brine containing 2lb of salt per gallon enters the
tank at the rate of 4gal per minute and the well stirred solution
leaves the tank at a rate of 8gal per minute.
(a) How long will it be before the tank is empty
(b) Determine the differential equation that gives the amount
A(t) of salt (in pounds) in the tank at any time t before it is
emptied....

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
differential equations to solve this problem and please put the
answer in decimal form. I did this...

A tank initially contains 100 gal of a salt-water solution
containing 0.05 lb of salt for each gallon of water. At time zero,
pure water is poured into the tank at a rate of 2 gal per minute.
Simultaneously, a drain is opened at the bottom of the tank that
allows the salt-water solution to leave the tank at a rate of 3 gal
per minute. What will be the salt content in the tank when
precisely 50 gal of...

A large tank is filled with 80 gallons of fluid in
which 2 pounds of salt are dissolved. Brine containing 1/2 pound of
salt per gallon is pumped into the tank at a rate of 3 gal/min. The
well-mixed solution is then pumped out at the same rate of 3
gal/min. Find the concentration of salt in the tank after 30
minutes.

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
pumped out at the same rate. (a) Find the amount of salt in the
tank at any time t. (b) How much salt is in the tank after 10
minutes? (c) How much salt is in the tank after...

A tank initially holds 100 gal of brine solution. At t = 0,
fresh water is poured into the tank at the rate of 5 gal/min, while
the well-stirred mixture leaves the tank at the same rate. After 20
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

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...

A tank contains 1000 L of pure water. Brine that contains 0.05
kg of salt per liter of water enters the tank at a rate of 5 L/min.
Brine that contains 0.04 kg of salt per liter of water enters the
tank at a rate of 10 L/min. The solution is kept thoroughly mixed
and drains from the tank at a rate of 15 L/min.
(a) How much salt is in the tank after t minutes?
y=

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