Final answer:
To dilute a solution, you can use the equation (C₁V₁ = C₂V₂), where C₁ is the initial concentration, V₁ is the initial volume, C₂ is the final concentration, and V₂ is the final volume. In this case, you need to add 25 cm³ of distilled water to the 25 cm³ of 0.125 moldm³ HCl solution in order to dilute it 10 times.
Step-by-step explanation:
To calculate the volume of water needed to dilute a solution, you can use the equation (C₁V₁ = C₂V₂), where C₁ is the initial concentration, V₁ is the initial volume, C₂ is the final concentration, and V₂ is the final volume.
In this case, the initial concentration (C₁) of the HCl solution is 0.125 moldm-3 and the initial volume (V₁) is 25 cm³. To dilute it 10 times, the final concentration (C₂) will be 0.125 moldm-3 / 10 = 0.0125 moldm-3. We can substitute these values into the equation to solve for V₂:
(0.125 moldm-3) × (25 cm³) = (0.0125 moldm-3) × (V₂ cm³)
V₂ = (0.125 moldm-3) × (25 cm³) / (0.0125 moldm-3)
V₂ = 25 cm³
Therefore, you need to add 25 cm³ of distilled water to the 25 cm³ of 0.125 moldm-3 HCl solution in order to dilute it 10 times.