What is the Formula for Dilution with a Full Tank and Only Fresh Water Inflow?

  • Thread starter neshepard
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In summary, the conversation discusses the formula for calculating dilution in a tank with fresh water flowing in and salt remaining. The formula is dy/dt=rate in - rate out, and the question arises about whether the rate in should be considered zero if only fresh water is flowing in. It is concluded that if y represents the amount of salt at time t, then the rate in is indeed zero. The only time the formula would have a nonzero rate in is if there is salt flowing in.
  • #1
neshepard
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I have a problem I finally answered, but it made me think. The formula is dy/dt=rate in - rate out for dilution. If a tank is full of salt and only fresh water flows in, are we treating rate in as 0 if we are looking to find how much salt is left at any time t?
 
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  • #2
It depends on what y represents. If y is the amount of salt or concentration of salt at time t, then yes, the rate in is zero.
 
  • #3
Yes, y represents the amount of salt and t is the time. So the only time there is a rate in for the formula is if there is actually, in this case salt, flowing in?
 
  • #4
Yes.
 

Related to What is the Formula for Dilution with a Full Tank and Only Fresh Water Inflow?

1. What is dilution?

Dilution is a process of reducing the concentration of a solution by adding more solvent to it.

2. Why is dilution important in science?

Dilution is important in science because it allows for more accurate and precise measurements of substances in a solution. It also helps to control the concentration of a solution for different experiments.

3. How do you calculate dilution?

Dilution can be calculated using the formula: C1V1 = C2V2, where C1 is the initial concentration, V1 is the initial volume, C2 is the final concentration, and V2 is the final volume.

4. What are the different methods of dilution?

The most common methods of dilution include serial dilution, where a solution is repeatedly diluted by a specific factor, and parallel dilution, where multiple solutions are prepared with different concentrations from the same initial solution.

5. How do you prepare a dilution solution?

To prepare a dilution solution, you will need to measure the initial volume of the solution you want to dilute, calculate the final volume and concentration desired, and then add the appropriate amount of solvent to reach the desired dilution. It is important to mix the solution thoroughly after each dilution step.

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