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  • Calculating Acid Solution Dilution: Step-by-Step Guide
    Step 1: Calculate the amount of acid in 4 liters of 30% solution

    Amount of acid = Volume of solution × Concentration of acid

    Amount of acid = 4 liters × 30%

    Amount of acid = 1.2 liters

    Step 2: Determine the desired amount of acid in the 25% solution

    Let x be the amount of water that needs to be added. The total volume of the solution after adding water will be (4 + x) liters.

    Desired amount of acid = Total volume of solution × Desired concentration

    Desired amount of acid = (4 + x) liters × 25%

    Desired amount of acid = 0.25(4 + x) liters

    Step 3: Set up an equation and solve for x

    Since the amount of acid remains the same before and after adding water, we can set up the following equation:

    Amount of acid in the 30% solution = Desired amount of acid in the 25% solution

    1.2 liters = 0.25(4 + x) liters

    Solving for x, we get:

    1.2 liters = liter + 0.25x liters

    0.25x liters = 1.2 liters - liter

    0.25x = 0.2 liters

    x = 0.8 liters

    Therefore, Jorge needs to add 0.8 liters of water to make the 25% acid solution.

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