Final answer:
To determine the volume of a 40% acid solution to be mixed with 8 liters of a 25% acid solution for a 30% acid solution, we set up an equation but found 4 liters as the answer, which doesn't match the given options. There may be an error in the options or question phrasing.
Step-by-step explanation:
To find out how many liters of a 40% acid solution should be mixed with 8 liters of a 25% acid solution to get a solution that is 30% acid, we can set up an equation using the concept of concentrations and volumes. Let x be the volume of the 40% solution needed.
The total weight of the acid in the final solution is the sum of the acid from both solutions:
0.40x (from the 40% solution) + 0.25(8) (from the 25% solution) = 0.30(x + 8) (from the 30% final solution)
Solving the equation:
0.40x + 2 = 0.30x + 2.4
0.10x = 0.4
x = 4 liters
However, this does not match any of the options provided. Thus, it seems there might be a mistake in the option set or in the phrasing of the problem. Normally, the solution process would follow these steps to determine the correct volume that would have to match one of the given answer choices.