Question

A tank contains 180 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 6 L/min; the well-mixed solution is pumped out at the same rate. Find the number

* A*(

of grams of salt in the tank at time *t*

Answer #1

A tank contains 210 liters of fluid in which 20 grams of salt is
dissolved. Brine containing 1 gram of salt per liter is then pumped
into the tank at a rate of 3 L/min; the well-mixed solution is
pumped out at the same rate. Find the number A(t) of grams of salt
in the tank at time t.

A tank contains 350 liters of fluid in which 50 grams of salt is
dissolved. Brine containing 1 gram of salt per liter is then pumped
into the tank at a rate of 5 L/min; the well-mixed solution is
pumped out at the same rate. Find the number
A(t)
of grams of salt in the tank at time t.

A tank contains 120 liters of fluid in which 50 grams of salt is
dissolved. Brine containing 1 gram of salt per liter is then pumped
into the tank at a rate of 4 L/min; the well-mixed solution is
pumped out at the same rate. Find the number
A(t) of grams of salt in the
tank at time t.
A(t) =
__________________

A tank contains 420 liters of fluid in which 10 grams of salt is
dissolved. Pure water is then pumped into the tank at a rate of 6
L/min; the well-mixed solution is pumped out at the same rate. Find
the number A(t) of grams of
salt in the tank at time t.
A(t) =_______g

A tank initially contains 100 liters of water in which 50 grams
of salt are dissolved. A salt solution containing 10 grams of salt
per liter is pumped into the tank at the rate of 4 liters per
minute, and the well-mixed solution is pumped out of the tank at
the rate of 6 liters per minute. Let t denote time (in minutes),
and let Q denote the amount of salt in the tank at time t (in
grams). Write...

A 500-liter tank initially contains 200 liters of a liquid in
which 150 g of salt have been dissolved. Brine that has 5 g of salt
per liter enters the tank at a rate of 15 L / min; the well mixed
solution leaves the tank at a rate of 10 L / min.
Find the amount A (t) grams of salt in the tank at time t.
Determine the amount of salt in the tank when it is full.

Initially 5 grams of salt are dissolved in 20 liters of water.
Brine with concentration of salt 2 grams of salt per liter is added
at a rate of 4 liters a minute. The tank is mixed well and is
drained at 3 liters a minute. Set up a diff equation for y(t), the
number of grams of salt in the tank at time t.Do not solve fory(t).
Your answer should look like:y0(t) = you ll in this side

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 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.

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