M₁V₁ = M₂V₂
where:
- M₁ is the concentration of the initial solution (in this case, 1.0N HCl)
- V₁ is the volume of the initial solution you need to use
- M₂ is the concentration of the desired solution (in this case, 0.2N HCl)
- V₂ is the final volume of the desired solution
Rearranging the formula to solve for V₁, we get:
V₁ = (M₂V₂) / M₁
Substituting the values, we get:
V₁ = (0.2N * V₂) / 1.0N
For example, if you want to prepare 100mL of 0.2N HCl solution, you can calculate the volume of 1.0N HCl needed as follows:
V₁ = (0.2N * 100mL) / 1.0N = 20mL
So, you would need to take 20mL of 1.0N HCl and add it to enough water to make a final volume of 100mL. This will give you a 0.2N HCl solution.
