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 the end of an additional 10 min. (Round your answer to two decimal places.)

Solutions

Expert Solution

if satisfied with the explanation, please rate it up..

milcah answered 1 year ago

Next > < Previous

Related Solutions

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 originally contains 120 gal of fresh water. Then water containing 1/2 lb of salt...

A tank originally contains 120 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 11 min the process is stopped, and fresh water is poured into the tank at a rate of 2 gal/min, with the mixture again leaving at the same rate. Find the amount of salt Q(11) in the tank at...

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 200 gal of water and 50oz of salt. Water containing a salt concentration...

A tank contains 200 gal of water and 50oz of salt. Water containing a salt concentration of 1/8(1+1/2 sint) oz/gal flows into the tank at a rate of 4 gal/min, the mixture flows out at the same rate. A) find the amount of salt in the tank at any moment. Q(t) = B) the amplitude of oscillation is C) level of the amplitude is

A 100 gallon tank initially contains 10 gallons of fresh water. At t=0 a brine solution...

A 100 gallon tank initially contains 10 gallons of fresh water. At t=0 a brine solution containing 1 pound of salt per gallon is poured into the tank at the rate of 4 gal/min., while the well-stirred mixture leaves the tank at the rate of 2 gal/min. Find the amount of salt in the tank at the moment of overflow. Enter answer as numerical decimal correct to two decimal places. pounds.

Two tanks each contain 100 gal of water and tank 2 initially has 50 lbs of...

Two tanks each contain 100 gal of water and tank 2 initially has 50 lbs of salt uniformly dissolved in it. An external flow brings adds 5 gal/min to tank 1 with 5 lbs of salt in it. Tank 1 feeds tank 2 at 10 gal/min, and tank 2 feeds back to tank 1 at 5 gal/min. Finally, an exit stream leaves tank 2 at 5 gal/min. 1) Use Laplace transforms to solve the system of ODEs modeling this system...

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...

A piston–cylinder assembly contains 2 lb of water, initially at 100 lbf/in.2 and 600°F. The water...

A piston–cylinder assembly contains 2 lb of water, initially at 100 lbf/in.2 and 600°F. The water undergoes two processes in series: a constant-pressure process followed by a constant volume process. At the end of the constant-volume process, the temperature is 300°F and the water is a two-phase liquid–vapor mixture with a quality of 50%. Neglect kinetic and potential energy effects. Determine the work and heat transfer for each process, all in Btu.

2. A tank initially contains 120 L of pure water. A salt mixture containing a concentration of...

2. A tank initially contains 120 L of pure water. A salt mixture containing a concentration of 1.5 g/L enters the tank at a rate of 2 L/min, and the well-stirred mixture leaves the tank at the same rate. Find an expression for the amount of salt in the tank at any time t. Also, find the limiting amount of salt in the tank as t →∞.

Subjects