Question

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.

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A tank contains 40 lb of salt dissolved in 400 gallons of water.
A brine solution is pumped into the tank at a rate of 4 gal/min; it
mixes with the solution there, and then the mixture is pumped out
at a rate of 4 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.

A tank contains 30 gallons of brine solution containing 10 lb of
salt. Another brine solution of concentration of 3 lb/gallon is
poured into the tank at the rate of 2 gallons/min. The well stirred
solution in the tank is drained out at the rate of 2 gallons/min.
Let the amount of salt in the tank at time ? be ?(?).
Write the differential equation for A(t) and solve it.

A large tank contains 800 gal of water in which 42 lb of salt
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4 gal per minute, and the mixture, kept uniform by stirring, is
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the same rate.
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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
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dissolved in the 300 gallons.
find the amount of salt in tank at time t.
if the tank...

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
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a find the amount of salt in tank...

A tank contains 100 gal of brine made by dissolving 80 lb of
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Solution drains from the tank at a rate of 4 gal/min. Find the
eventual concentration of the salt solution using a qualitative
analysis rather than by actually solving the DE.

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