Question

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.)

Answer #1

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
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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 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

A tank contains 2100 L of pure water. Solution that contains
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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) A tank contains 10 kg of salt and 2000 L of water. A solution
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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
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A tank contains 80 kg of salt and 1000 L of water. Pure water
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from the tank at the rate 3 L/min. Find the amount of salt in the
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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.

A Tank contains 100g of salt and 500L of water. Water that
contains (5/2)g of salt per liter enters the tank at a rate of 2
(L/min). The solution is mixed and drains from the tank at a rate
of 3 (L/min). Let y be the number of g of salt in the tank after t
minutes. a). What is the differential equation for this scenario?
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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...

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