Question
In: Math
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.)
Solutions
milcah answered 2 years agoRelated Solutions
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S(t)=
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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
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A tank initially contains 80gal of pure water. Brine containing 2lb of salt per gallon enters...
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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 100kg of salt and 2000L of water. Pure water enters a tank at...
A tank contains 100kg of salt and 2000L of water. Pure water
enters a tank at the rate 6L/min. The solution is mixed and drains
from the tank at the rate 3L/min. ) Find the concentration(kg/L) of
salt in the solution in the tank as time approaches infinity.
(Assume your tank is large enough to hold all the solution.)
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
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(a) A(0) = (kg)
(b) A differential equation for the amount of salt in the tank
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A(t), and move everything...
A tank initially contains 150 gal of brine in which 20lb of salt are dissolved. A...
A tank initially contains 150 gal of brine in which 20lb of salt
are dissolved. A brine containing 3 lb/gal of salt runs into the
tank at the rate of 4 gal/min.The mixture is kept uniform by
stirring and flows out of the tank at the rate of 3 gal/min. Let y
represent the amount of salt at time t. Complete parts a through
e.
a. At what rate (pounds per minute) does salt enter the tank
at time t?...
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
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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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