Question
In: Math
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?
Solutions
milcah answered 2 years agoRelated Solutions
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 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 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 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 originally contains 100 gal of fresh water. Then water containing 1 2 lb of...
A tank originally contains 100 gal of fresh water. Then water
containing 1 2 lb of salt per gallon is poured into the tank at a
rate of 2 gal/min, and the mixture is allowed to leave at the same
rate. After 10 min the process is stopped, and fresh water is
poured into the tank at a rate of 4 gal/min, with the mixture again
leaving at the same rate. Find the amount of salt in the tank at...
A tank originally contains 100 gal of fresh water. Then water containing 1 2 lb of...
A tank originally contains 100 gal of fresh water. Then water
containing
1
2
lb of salt per gallon is poured into the tank at a rate of 2
gal/min, and the mixture is allowed to leave at the same rate.
After 10 min the process is stopped, and fresh water is poured into
the tank at a rate of
6 gal/min,
with the mixture again leaving at the same rate. Find the amount
of salt in the tank at...
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?
1. A 100-gallon tank initially holds 50 gal of brine containing 5 pounds of salt. Brine...
1. A 100-gallon tank initially holds 50 gal of brine containing
5 pounds of salt. Brine
containing 1 pound of salt per gallon enters the tank at the rate
of 4 gal/s, and the
well-mixed brine in the tank flows out at the rate of 3
gal/s.
(a) How much salt will the tank contain at the time when the tank
is full of brine?
(b) If the tank had an infinite capacity, what is the maximum
amount of salt...
Consider a large tank holding 50 gal of pure water into which a brine solution of...
Consider a large tank holding 50 gal of pure water
into which a brine solution of salt begins to flow at a constant
rate of 6 gal/min. the brine leaves the tank at a rate of 5
gal/min. If the concentration of salt in the brine entering the
tank is 0.1 lbs per gallon, determine the function X that will
determine the amount of brine in the tank at any time t.
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.)
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