Final answer:
To make a 25.0 ml 2.0 M HCl solution, 7.69 ml of a 6.5 M HCl solution is needed.
Step-by-step explanation:
To find the volume of a 6.5 M HCl solution needed to make a 25.0 ml 2.0 M HCl solution, we can use the formula C₁V₁ = C₂V₂. In this case, C₁ is 6.5 M, C₂ is 2.0 M, V₂ is 25.0 ml, and we need to find V₁. Rearranging the formula to isolate V₁, we have V₁ = (C₂V₂)/C₁. Substituting the values, we get V₁ = (2.0 M * 25.0 ml)/6.5 M = 7.69 ml. Therefore, 7.69 ml of the 6.5 M HCl solution is required to make a 25.0 ml 2.0 M HCl solution.