Question

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 hold the solution.)

Answer #1

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?

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?

(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 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.

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)=

A tank contains 50 kg of salt dissolved and thoroughly mixed in
5,000 L of water, and zero salt concentration water enters the tank
at a steady rate of 1,000 L per hour. The solution kept thoroughly
mixed and drains from the tank at the same rate. Water can be used
for gardening when salt concentration is 0.4 g/L or less. How long
will it take for water in tank to reach that

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