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When we talk about concentration in mixture problems, we refer to how much of a certain substance is present in a given volume of solution. In the exercise, we started with a brine solution with a concentration of 120 grams per liter (g/L). This means for every liter of the solution, there are 120 grams of salt. Understanding concentration is crucial because it allows us to relate the amount of solute (in this case, salt) to the total volume of the solution.

• Concentration is often expressed in g/L, indicating the grams of solute present per liter of solution.
• In practical terms, this concept helps in preparing solutions with desired properties by accurately measuring both the solute and solvent.

You calculated concentration using the formula:\[ ext{Concentration} = rac{ ext{Amount of solute}}{ ext{Volume of solution}}\]In our problem, the aim was to increase this concentration to 200 g/L by reducing the amount of water in the solution without changing the amount of salt.

Volume calculation is essential when working with mixtures, especially in determining changes to concentration. Initially, the solution had a volume of 6 liters. To change the concentration, we needed to find the final volume after boiling off some water. This required solving a simple equation.Here's a breakdown:

• By knowing the initial salt content and the desired concentration, we set the equation: \[200 = \frac{720}{V_f}\]
• Rearrange to solve for the final volume \(V_f\): \[V_f = \frac{720}{200} = 3.6\, \text{L}\]

This calculation showed that to reach a concentration of 200 g/L, the volume of the brine had to be reduced to 3.6 liters. Volume calculations help us understand how much we need to adjust the solvent to achieve a target concentration.

Boiling off water is a simple but effective method to increase the concentration of a solution. The process involves evaporating the solvent, reducing the total volume without altering the solute amount. In this exercise, you needed to boil off water to achieve a specific concentration of salt in the brine.Here's how it worked:

• After determining the necessary final volume (3.6 L), calculate the amount of water to evaporate by subtracting it from the initial volume.
• The initial volume was 6 L. Thus, the amount of water to boil off: \[6 \text{ L} - 3.6 \text{ L} = 2.4 \text{ L} \]

This shows you need to remove 2.4 liters of water. The technique exemplifies a practical approach to adjusting solution concentrations in various applications.