A solution of 0.2M nitric acid is to be prepared from a 4.5M solution. How much nitric acid needs to be diluted in a50ml volumetric flask?
mL1 x M1 = mL2 x M2
50 mLx 0.2 M = mL2 x 4.5 M.
Solve for mL 2.
To determine how much nitric acid needs to be diluted in a 50ml volumetric flask, we need to establish the relationship between the concentration and volume of the two solutions.
The formula to calculate the dilution of a solution is:
C₁V₁ = C₂V₂
Where:
C₁ = concentration of the initial solution
V₁ = volume of the initial solution
C₂ = concentration of the final solution
V₂ = volume of the final solution (in this case, the 50ml volumetric flask)
Let's plug in the values we know:
C₁ = 4.5M (concentration of the 4.5M solution)
V₁ = ?
C₂ = 0.2M (desired concentration of the final solution)
V₂ = 50ml (volume of the final solution)
Using the formula, we can calculate V₁:
C₁V₁ = C₂V₂
(4.5M)(V₁) = (0.2M)(50ml)
Divide both sides of the equation by 4.5M:
V₁ = (0.2M)(50ml) / 4.5M
Simplifying the expression:
V₁ = 11.1ml
Therefore, you need to dilute 11.1ml of the 4.5M nitric acid solution in a 50ml volumetric flask to prepare a 0.2M solution.