Help on Mixing solution from two tanks problem

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In summary, the conversation discusses the addition of 150 gal of a chemical to two tanks, A and B, each containing 5K gal of water. However, due to an error, the entire 300 gal is poured into tank A. The pumps are set to circulate the liquid through both tanks at a rate of 100 gal/min. The question posed is how long it will take for tank A to contain 200 gal of the chemical and tank B to contain 100 gal. Additionally, the question asks if it is theoretically possible for each tank to contain 150 gal. The problem is related to Ordinary Differential Equations and involves finding a differential equation by considering a short interval of time. The change in a quantity of interest
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romario2223
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Two tanks, A and B, each contain 5K gal of water. To each tank 150 gal of a chemical should be added, but in error the entire 300 gal are poured into tank A. Pumps are set to work to circulate the liquid through the two tanks at the rate of 100 gal/min (a) How long will it take for tank A to contain 200 gal of the chemical and tank B to contain 100 gal? (b) IS it theoretically possible for each tank to contain 150 gal?
Reference: Ordinary Differential Equations by Morris Tenenbaum and Harry Pollar Lesson 15, problem 10
 
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To get started on this, think of a very short interval of time dt, short enough that the bulk numbers will not change much, and work out what will happen in that short interval. You should find that the change in some quantity of interest is proportional to dt. Then you can divide by dt to get a differential equation.
 
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1) Why is this not in homework section?

2) What have you tried?
 

Related to Help on Mixing solution from two tanks problem

1. How do I calculate the amount of solution needed from two tanks?

To calculate the amount of solution needed from two tanks, you will need to take into account the volume and concentration of the solution in each tank. You can use the formula: Volume of Solution A x Concentration of Solution A + Volume of Solution B x Concentration of Solution B = Total Volume of Solution Needed x Desired Concentration. This will give you the volume of each solution that needs to be mixed together to achieve the desired concentration.

2. What is the best way to mix solutions from two tanks?

The best way to mix solutions from two tanks is to use a controlled mixing process, such as a stirrer or a pump. This will ensure that the solutions are evenly mixed and the desired concentration is achieved. It is important to also consider the compatibility of the two solutions and any potential reactions that may occur during mixing.

3. How do I know if the resulting solution is the correct concentration?

To determine the concentration of the resulting solution, you can use a variety of methods such as titration or spectrophotometry. It is important to carefully measure and record the volumes and concentrations of the solutions used to ensure accuracy in the final result.

4. Can I mix solutions of different viscosities?

In most cases, solutions of different viscosities can be mixed together. However, it is important to consider the impact of viscosity on the mixing process and adjust accordingly. Solutions with significantly different viscosities may require a longer mixing time or a different mixing method to ensure proper blending.

5. What precautions should I take when mixing solutions from two tanks?

Some precautions to take when mixing solutions from two tanks include wearing appropriate personal protective equipment, ensuring proper ventilation in the mixing area, and carefully handling and measuring the solutions to prevent spills or contamination. It is also important to be aware of any potential chemical reactions between the solutions and take necessary precautions to avoid them.

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