A tank has 72 gallons of water. Brine solution with 2lbs of salt per gallon of solution enters at a rate of 2.5 gal/min and the well-stirred mixture is also withdrawn at the same rate. When will the concentration be 0.5lb/gal of solution?

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A: Solution

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A: Let S be pounds of salt in tank at time t, so: or Rewritting the equation above we get:…

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A: We will find out the required time.

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A: Schematic diagram of the given situation:…

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A: Solve by making differential equation

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Q: A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 2 grams…

A: A tank contains 200 liters of fluid with 30 gm salt is dissolved.2 gm of salt per liter is pumped…

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Q: with 2.60 moles of oxygen at 39.3 degrees Celcius?

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A: Given: r1=2 galsmin., r2=2 galsmin.,  c1=2 lbsgal,, v0=80 gallons, x0=0

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Q: gallon is poured into the tank at a rate of 2 gal/min, while the well-stirred mixture leaves the…

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Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

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Q: The side of a cube decreases at a rate of 9 m/sec. Find the rate at which the volume changes, when…

A: To find the rate of change of volume

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A: Given:   Equation data is given

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A: Form the differential equation of first order and solve to get the answer.

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A: Given, A large mixing tank initially contains 500 gallons of water in which 40 pounds of salt have…

Q: A 300 gallon tank initially contains 90 gallons of brine containing 400 Ibs. of salt. Brine…

A: Given the tank contains 90 gallons of brine containing 400 lbs of salt.  The above figure shows the…

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Q: At a constant pressure, what temperature must be reached to increase the volume of a 100mL samples…

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Q: A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram…

A: Question is solved.

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A: The function f(t) is a rule that associates or fixes a number to the particular point t. The…

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A: Given that, the number of germs in a certain culture increases at a rate proportional to the number…

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A: Dividing the volume by discharge rate, answer is obtained

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A:

Q: We have a mixing tank that contains 100 gallons of water into which 5 pounds of sugar have been…

A: According to question. Initial amount of water in tank= 100gallons Initial amount of sugar = 5 pound

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A: Given information Length of the section L=15 ft=15×12=180 in Hence, L=180 in Diameter of the pipe is…

Q: A 150 mg per L solution of drug is administered intravenously at a rate of 30 mL per hr to a patient…

A: Given that: A 150 mg per L solution of drug is administered intravenously at a rate of 30 mL per hr…

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A: The answer is 32kg

Q: A process tank is being filled at a rate of 1200 GPM. If the tank is completely full, how much is…

A: In flow rate is 1200 GPM. Out flow rate is 320 GPM.

Q: A large mixing tank currently contains 300 gallons of water, into which 8 pounds of sugar have been…

A: given: Capacity of tank = 300 gallon Amount of sugar = 8 pounds Rate of pouring of water = 20…