Question
In: Math
A tank contains 20 kg of salt dissolve in 7000 L of water. Brine that contain...
A tank contains 20 kg of salt dissolve in 7000 L of water. Brine that contain 0.041 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 Kg salt remains in the tank if as time approaches to infinite?
Solutions
milcah answered 2 years agoRelated Solutions
A tank contains 9,000 L of brine with 11 kg of dissolved salt. Pure water enters...
A tank contains 9,000 L of brine with 11 kg of dissolved salt.
Pure water enters the tank at a rate of 90 L/min. The solution is
kept thoroughly mixed and drains from the tank at the same rate.
(a) How much salt is in the tank after t minutes?
(b) How much salt is in the tank after 10 minutes? (Round your
answer to one decimal place.)
A tank contains 70 kg of salt and 2000 L of water. Water containing 0.4kg/L of...
A tank contains 70 kg of salt and 2000 L of water. Water
containing 0.4kg/L of salt enters the tank at the rate 16L/min. The
solution is mixed and drains from the tank at the rate 4L/min. A(t)
is the amount of salt in the tank at time t measured in
kilograms.
(a) A(0) = (kg)
(b) A differential equation for the amount of salt in the tank
is =0=0. (Use t,A, A', A'', for your variables, not
A(t), and move everything...
A tank contains 60 kg of salt and 1000 L of water. Pure water enters a...
A tank contains 60 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?
amount = (kg)
(b) Find the amount of salt in the tank after 3 hours.
amount = (kg)
(c) Find the concentration of salt in the solution in the tank as
time approaches infinity. (Assume...
A tank contains 90 kg of salt and 2000 L of water: Pure water enters a...
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 4 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 1000L of pure water. Brine that contains 0.05kg of salt per liter enters...
A tank contains 1000L of pure water. Brine that contains 0.05kg
of salt per liter enters the tank at a rate of 5L/min. Also, brine
that contains 0.09kg of salt per liter enters the tank at a rate of
10L/min. The solution is kept thoroughly mixed and drains from the
tank at a rate of 15L/min. Answer the following questions.
1. How much salt is in the tank after t minutes? Answer (in
kilograms):
S(t)=
2. How much salt is...
A 4,500 litre tank contains 2,500 litres of brine. There is 50 kg of salt initially...
A 4,500 litre tank contains 2,500 litres of brine. There is 50
kg of salt initially present. Pure water is being put into the tank
at 20 litres/min. Brine solution is draining away at a rate of 15
litres/min.
a)Create a mathematical model of the dissolved salt in the
solution. Give amount of salt in terms of time (t).
b)Calculate how much salt is in the system after 15 minutes. State
all of the assumptions that you are using.
c)Create...
A tank contains 400 gallons of brine (salt in solution) in which 125 pounds of salt...
A tank contains 400 gallons of brine (salt in solution) in which
125 pounds of salt has been dissolved. Freshwater (with no salt
added) runs into the tank at a rate of 4 gallons per minute, and
the stirred mixture is drained from the tank at the same rate. (1)
Find the amount of salt in the tank after an hour. (2) How long
does it take to reduce the amount of salt in the tank to 10
pounds?
A tank initially contains 80gal of pure water. Brine containing 2lb of salt per gallon enters...
A tank initially contains 80gal of pure water. Brine containing
2lb of salt per gallon enters the tank at 2gal/min, and the
(perfectly mixed) solution leaves the tank at 3 gal/min. Thus the
tank is empty after exactly 80 min.
(A) Find the amount of salt in the tank after t minutes.
(b) What is the maximum amount of salt ever in the tank?
A tank contains 100 gal of water. Brine enters the tank at the rate of 3...
A
tank contains 100 gal of water. Brine enters the tank at the rate
of 3 gal/min. The mixture, thoroughly stirred, leaves the tank at
the rate of 2 gal/min. If the salt concentration in the brine at
the end of 20 minutes is to be 2 lb/gal, what should be the salt
concentration in the brine entering the tank?
A tank contains 100 gal of water. Brine enters the tank at the rate of 3...
A
tank contains 100 gal of water. Brine enters the tank at the rate
of 3 gal/min. The mixture, thoroughly stirred, leaves the tank at
the rate of 2 gal/min. If the salt concentration in the brine at
the end of 20 minutes is to be 2 lb/gal, what should be the salt
concentration in the brine entering the tank?
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