Calculating Water Amount for 15% Vitamin C Solution

Asked by: kitchai_104 On: May 29, 2017 Product Type: Cosmetics

Question

How much distilled water should be mixed with 2 grams of Vitamin C powder to create a 15% solution? Please provide the calculation method.

Answer

Calculation for 15% Vitamin C Solution

To create a 15% Vitamin C solution using 2 grams of Vitamin C powder, you need to mix the powder with distilled water. The calculation is based on the percentage by weight:

(Weight of Vitamin C / Total Weight of Solution) * 100 = Percentage

Where Total Weight of Solution = Weight of Vitamin C + Weight of Distilled Water.

Using your example of 2 grams of Vitamin C powder to achieve a 15% concentration:

(2 grams / (2 grams + Weight of Distilled Water)) * 100 = 15

Solving for the Weight of Distilled Water:

2 / (2 + Weight of Distilled Water) = 15 / 100 = 0.15
2 = 0.15 * (2 + Weight of Distilled Water)
2 = 0.3 + 0.15 * Weight of Distilled Water
1.7 = 0.15 * Weight of Distilled Water
Weight of Distilled Water = 1.7 / 0.15 ≈ 11.33 grams

Since the density of water is approximately 1 gram/mL, 11.33 grams of water is approximately 11.33 mL.

Therefore, mix 2 grams of Vitamin C powder with approximately 11.33 mL of distilled water to get a 15% solution.

As the staff mentioned, it is crucial to mix this solution right before each use because L-ascorbic acid is unstable when dissolved in water over time.

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