Question

A 300-gal capacity tank contains a solution of 200 gal of water and 50 lb of salt. A solution containing 3 lb of salt per gal is allowed to flow into the tank at the rate of 4 gal/min. The mixture flows from the tank at the rate of 2 gal/min. How many pounds of salt are in the tank at the end of 30 min? When does the tank start to overflow? How much salt is in the tank at the end of 60 min? Ans.: 357 lb, 50 min, 579 lb

Answer #1

A 100-gallon tank initially contains pure water. A solution of
dye containing 0.3 lb/gal flows into the tank at the rate of 5
gal/min and the resulting mixture flows out at the same rate. After
15 min, the process is stopped and fresh water flows into the tank
at the same rate. Find the concentration of dye in the tank at the
end of 30 min. Ans.: 0.075 lb/gal

a full tank with a capacity of 500 gal originally
contains water with 200lb of salt. water containing 1lb of salt per
gallon is entering at a rate of 4 gal/min and the mixture is
allowed to flow out at a rate of 6 gal/min thus the tank is
draining. how much salt is in the tank when it is half full?

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 3 gal/min,with the mixture again leaving at
the same rate. Find the amount of salt in the tank at the...

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 5 gal/min, with the mixture again
leaving at the same rate. Find the amount of salt in the tank at
the...

A tank contains 70 lb of salt dissolved in 200 gallons of water.
A brine solution is pumped into the tank at a rate of 2 gal/min; it
mixes with the solution there, and then the mixture is pumped out
at a rate of 2 gal/min. Determine A(t), the amount of salt in the
tank at time t, if the concentration of salt in the inflow is
variable and given by cin(t) = 2 + sin(t/4) lb/gal.

suppose a large tank has 300 gallon of brine solution. Brine
sol. was being pumped into the tank at a rate of 3 gal/min. it
mixed with the solution there and then the mixture was pumped out
at the rate of 2 gal/min. the concentraion of salt in the inflo or
solution entering was 2 lb/gal. initially, 50 pounds of salt were
dissolved in the 300 gallons.
find the amount of salt in tank at time t.
if the tank...

A tank initially contains 150 gal of brine in which 60 lb of
salt are dissolved. A brine containing 4 lb/gal of salt runs into
the tank at the rate of 6 gal/min. The mixture is kept uniform by
stirring and flows out of the tank at the rate of 5 gal/min. Let y
represent the amount of salt at time t. Complete parts a through
f.
a. At what rate (pounds per minute) does salt enter the tank
at...

suppose a large tank has 300 gallon of brine solution. Brine
sol. was being pumped into the tank at a rate of 3 gal/min. it
mixed with the solution there and then the mixture was pumped out
at the rate of 2 gal/min. the concentraion of salt in the inflo or
solution entering was 2 lb/gal. initially, 50 pounds of salt were
dissolved in the 300 gallons. Please answer clearly. Thank u.
a find the amount of salt in tank...

A tank initially holds 100 gal of brine solution. At t = 0,
fresh water is poured into the tank at the rate of 5 gal/min, while
the well-stirred mixture leaves the tank at the same rate. After 20
min, the tank contains 20/e lb of salt. Find the initial
concentration of the brine solution inside the tank. Ans.: 0.20
lb/gal

A tank initially contains 100 gal of a salt-water solution
containing 0.05 lb of salt for each gallon of water. At time zero,
pure water is poured into the tank at a rate of 2 gal per minute.
Simultaneously, a drain is opened at the bottom of the tank that
allows the salt-water solution to leave the tank at a rate of 3 gal
per minute. What will be the salt content in the tank when
precisely 50 gal of...

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