Word Problem: Increasing Solution Strength to 30%

In summary, to achieve a final solution strength of 30%, 15 liters of the 20% solution should be drained and replaced with an 80% solution. This will result in a total chemical amount of 15 liters in the final 90 liters of solution.
  • #1
Diced Tofu
3
0
1. A tank holds 90 L of chemical solution. Currently the solution has a strength of 20%. How much of this should be drained and replaced with an 80% solution to have a final strength of 30%?
 
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  • #2
Suppose you "drain and replace" X liters of the 20% solution. That leaves 90- X liters of 20% solution. The X liters of the 80% solution will contain 0.8X L of the chemical. The remaining 90-X liters will contain 0.2(90- X) L of the chemical so you will now have 0.8X+ 0.2(90-X) L of the chemical in the final result. How much chemical will there be in 90 L of 30% solution? Set those equal and solve for X.
 
  • #3
Answer is 15 L.

thx :D
 

1. What does increasing solution strength to 30% mean?

Increasing solution strength to 30% refers to adding more of a solute (such as salt or sugar) to a given amount of solvent (such as water) to create a solution with a concentration of 30%. This means that for every 100 parts of the solution, 30 parts are the solute and 70 parts are the solvent.

2. Why would someone want to increase solution strength to 30%?

Increasing solution strength to 30% may be desired for various reasons, such as to make the solution more effective in a particular application or to meet a specific requirement or target concentration.

3. How is the strength of a solution measured?

The strength of a solution is typically measured in terms of its concentration, which is the amount of solute dissolved in a given amount of solvent. This can be expressed as a percentage, parts per million (ppm), or molarity (moles per liter).

4. What factors can affect the strength of a solution?

The strength of a solution can be affected by various factors, including the amount of solute added, the temperature of the solution, and the type and purity of the solute and solvent used.

5. Is increasing solution strength to 30% always the best option?

Not necessarily. The optimal solution strength will depend on the specific application and desired outcome. In some cases, a lower or higher concentration may be more effective or necessary.

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