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

  • Thread starter Thread starter Miguel Guerrero
  • Start date Start date
  • Tags Tags
    Tank
Miguel Guerrero
Messages
16
Reaction score
0
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.
 
Physics news on Phys.org
"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?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top