Question

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*(

* A*(

Answer #1

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(t)
of grams of salt in the tank at time t

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 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.

A tank contains 1000 L of brine (saltwater) with 15 kg of
dissolved salt. Pure water enters the tank at a rate of 10 L/min.
The solution is kept thoroughly mixed and drains from the tank at
the same rate. How much salt is in the tank after t minutes?

A tank that holds 2000 liters initially contains 150 liters of
water into which 30 grams of salt has been dissolved. Water is
flowing into the tank at a rate of 20 liters/minute with a
concentration of sin^2(πt) at any time, t. The liquid is well
mixed, and flows out at a rate of 10 liters/minute. Set up, do not
solve, a 1st order IVP to find the amount of salt in the tank at
any time, t, after t...

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 80 kg of salt and 1000 L of water. Pure water
enters a tank at the rate 6 L/min. The solution is mixed and drains
from the tank at the rate 3 L/min. Find the amount of salt in the
tank after 2 hours. What is the concentration of salt in the
solution in the tank as time approaches infinity?

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