Question
In: Math
A tank contains 420 litres of a solution, with 20 kilograms of salt in the solution....
A tank contains 420 litres of a solution, with 20 kilograms of salt in the solution. A solution with a concentration of 57 kilograms per litre enters the tank at a rate of 7 litres per minute. The well-stirred solution flows out of the tank at the same rate. Determine the mathematical model that gives the function y(t), the number of kilograms of salt in the tank after t minutes
Solutions
milcah answered 1 year agoRelated Solutions
A 4,500 litre tank contains 2,500 litres of brine. There is 50 kg of salt initially...
A 4,500 litre tank contains 2,500 litres of brine. There is 50
kg of salt initially present. Pure water is being put into the tank
at 20 litres/min. Brine solution is draining away at a rate of 15
litres/min.
a)Create a mathematical model of the dissolved salt in the
solution. Give amount of salt in terms of time (t).
b)Calculate how much salt is in the system after 15 minutes. State
all of the assumptions that you are using.
c)Create...
A rigid tank with a volume of 20 litres initially contains water at 0.1 degree of...
A rigid tank with a volume of 20 litres initially contains water
at 0.1 degree of dryness and a pressure of 175 KPA. A steam
disposal Valve is located at the top of the tank. Adding heat and
steam by throwing the final case degree of dryness 0.4 and pressure
150 kPa is desired to be made. How much mass is ejected and what is
the entropy produced. Heat source temperature 1000 K.
A tank contains a mixture of water and salt, and at all times the solution is...
A tank contains a mixture of water and salt, and at all times
the solution is kept will mixed. At time t = 0 there is 10 Liters
solution in the tank, with no salt. However, being poured into the
tank is a solution containing 2 grams of salt per liter, and it is
entering at a rate of 5 liters per minute. Simultaneously we drain
our tank at a rate of 3 liters per minute. Find the concentration
of...
A tank contains 400 gallons of brine (salt in solution) in which 125 pounds of salt...
A tank contains 400 gallons of brine (salt in solution) in which
125 pounds of salt has been dissolved. Freshwater (with no salt
added) runs into the tank at a rate of 4 gallons per minute, and
the stirred mixture is drained from the tank at the same rate. (1)
Find the amount of salt in the tank after an hour. (2) How long
does it take to reduce the amount of salt in the tank to 10
pounds?
A tank initially contains 300 gallons of a salt solution made by dissolving 30 pounds of...
A tank initially contains 300 gallons of a salt solution made by
dissolving 30 pounds of salt in water. A solution containing 0.6
pounds of salt per gallon enters the tank at a rate of 5 gallons
per minute. A drain is opened at the bottom of the tank through
which the well stirred solution leaves the tank at the same rate of
5 gallons per minute. Let y(t) denote the amount of salt (in
pounds) which is in the...
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
that contain 0.041 kg of salt per liter of water enters the tank at
a rate of 25 L/min. The solution is kept thoroughly mixed and
drains from the tank at the same rate. How much Kg salt remains in
the tank if as time approaches to infinite?
A 200 gallon tank initial contains 100 gallons of water and 20 pounds of dissolved salt....
A 200 gallon tank initial contains 100 gallons of water and 20
pounds of dissolved salt. Brine solution begins to enter the tank
at the rate of 2 gal/min with a salt concentration of 2 lb/gal. The
well mixed solution leaves the tank at the rate of 1 gal/min. Find
the amount of salt inside the tank 50 minutes after the process
starts?
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 365 gallons of water and 50 oz of salt. Water containing a salt...
A tank contains 365 gallons of water and 50 oz of
salt. Water containing a salt concentration of
1/6(1 + 1/4 sin t)
oz/gal flows into the tank at a rate of 8 gal/min, and the mixture
in the tank flows out at the same rate.
The long-term behavior of the solution is an oscillation about a
certain constant level.
a) What is this level?
b) What is the amplitude of the oscillation?
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
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- The Coronavirus outbreak in China has killed at least 360 people and infected more than 17,300...
- 2. Which gas has the lowest density at 25 °C and 1 atm? Select one: a....
- a worker applies a horizontal force to the top edge of a crate to get it...
- Two people, Baker and Cutler, play a game in which they choose and divide a prize....
- Briefly explain what is meant by the term "externality" and how it occurs.
- Watch one hour of prime-time television and answer the following questions. You will need a watch...
- You are standing street comerA truck belonging to the safety First Trucking (SFTC) carrying radioactive nuclear...
ADVERTISEMENT