Question

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?

Answer #1

A tank contains 90 kg of salt and 2000 L of water: Pure water
enters a tank at the rate 8 L/min. The solution is mixed and drains
from the tank at the rate 8 L/min. What is the amount of salt in
the tank initially? Find the amount f salt in the tank after 4.5
hours. Find the concentration of salt in the solution in the tank
as the time approaches infinity. (Assume your tank is large enough
to...

A tank contains 100 kg of salt and 1000 L of water. Pure water
enters a tank at the rate 12 L/min. The solution is mixed and
drains from the tank at the rate 6 L/min.
(a) What is the amount of salt in the tank initially?
(b) Find the amount of salt in the tank after 4.5 hours.

1) A tank contains 10 kg of salt and 2000 L of water. A solution
of concentration 0.025 kg of salt per liter enters a tank at the
rate 7 L/min. The solution is mixed and drains from the tank at the
same rate. a) What is the concentration of our solution in the tank
initially? concentration = ___ (kg/L) b) Find the amount of salt in
the tank after 1.5 hours. amount = ____ (kg) c) Find the
concentration...

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=

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?
(b) How much salt...

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 contains 2100 L of pure water. Solution that contains
0.05 kg of sugar per liter enters the tank at the rate 4 L/min, and
is thoroughly mixed into it. The new solution drains out of the
tank at the same rate.
(b) Find the amount of sugar after t minutes.
y(t)=

(1 point) A tank contains 1520 L of pure water. A solution that
contains 0.04 kg of sugar per liter enters the tank at the rate 8
L/min. The solution is mixed and drains from the tank at the same
rate.
(a) How much sugar is in the tank at the beginning? y(0)=
(b)Find the amount of sugar (in kg) after t minutes. S(t)=
(c)Find the amount of the sugar after 90 minutes. S(90)=

A tank contains 20 kg of salt dissolve in 5000 L of water. Brine
that contain 0.03 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 salt remains in the
tank after 13 minutes? (Keep three decimal places.)

A tank contains 100 gallons of pure water. A salt solution with
concentration 2.5 lb/gal enters the tank at a rate of 4 gal/min.
Solution drains from the tank at a rate of 4 gal/min. Find the
eventual concentration of the salt solution using a qualitative
analysis rather than by actually solving the DE.

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