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.