How can the amount of salt in a tank be maintained while adding more solution?

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SUMMARY

The discussion centers on maintaining a constant amount of salt in a tank while adding a new saltwater solution. The tank has a maximum volume V, initially containing water mixed with salt S. When adding the new solution, an equivalent volume of the existing solution must escape to keep the salt concentration unchanged. The critical distinction lies in understanding that the escaping solution must match the volume of the added solution to maintain the salt level.

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Miguel Guerrero
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1. The problem statement, all variables and given/known d
Let's say there's a tank filled with a solution to its maximum volume V. Initially, the solution in V is water mixed with some amount of salt S. The objective is to add more of a solution also consisting of water and salt such that the amount of salt S is the same after the added solution is in the tank. Note: because the tank is filled to its maximum volume, as the solution is added, water of the same volume escapes from the tank.

How would you go about solving this?

Homework Equations


None, I confess I am stumped.

The Attempt at a Solution


See above.
 
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"water of the same volume escapes from the tank", or "an equivalent amount of the current solution escapes from the tank" ?

Are you sure you are stating the problem correctly? Do you understand why those two problem statements are radically different?
 

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