Prepare 50g of vanishing cream. Density of rose oil 0.964 g/mL; Density of glycerin 1.26 g/mL. Calculate the quantities needed.
Understand the Problem
The question is asking for the preparation of 50g of vanishing cream, indicating the required components and their quantities. It mentions the densities of rose oil and glycerin, which may be necessary for calculating the appropriate volumes to be used to achieve the correct total weight. The user needs assistance with the calculations involved in preparing the cream.
Answer
To prepare 50g of vanishing cream, use 17g Stearic acid, 0.7g KOH, 5g glycerin (3.97 mL), 2g rose oil (2.08 mL), and 75.3g water.
Answer for screen readers
The quantities to prepare 50g of vanishing cream are as follows:
- Stearic acid: 17g
- Potassium Hydroxide: 0.7g
- Glycerin: 5g (3.97 mL)
- Rose oil: 2g (2.08 mL)
- Water: 75.3g
Steps to Solve
- Identify the components and their quantities We need to prepare 50g of vanishing cream with the following components:
- Stearic acid: 17g
- Potassium Hydroxide (KOH): 0.7g
- Glycerin: 5g
- Rose oil: 2g
- Water: QS (to make up to 100g)
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Calculate the total weight of the active ingredients Add the weights of all components except water to find out how much more weight is needed to reach 100g: $$ \text{Total weight of ingredients} = 17g + 0.7g + 5g + 2g = 24.7g $$
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Calculate the required weight of water Find the amount of water needed to reach 100g: $$ \text{Weight of water} = 100g - 24.7g = 75.3g $$
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Calculate volumes of glycerin and rose oil Using their densities, calculate the volumes required:
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For Glycerin: $$ \text{Volume of Glycerin} = \frac{5g}{1.26 \text{g/mL}} = 3.97 \text{ mL} $$
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For Rose Oil: $$ \text{Volume of Rose Oil} = \frac{2g}{0.964 \text{g/mL}} = 2.08 \text{ mL} $$
- Prepare the vanishing cream Combine all ingredients in the following proportions:
- 17g of Stearic acid
- 0.7g of Potassium Hydroxide
- 5g of Glycerin (3.97 mL)
- 2g of Rose oil (2.08 mL)
- 75.3g of Water
The quantities to prepare 50g of vanishing cream are as follows:
- Stearic acid: 17g
- Potassium Hydroxide: 0.7g
- Glycerin: 5g (3.97 mL)
- Rose oil: 2g (2.08 mL)
- Water: 75.3g
More Information
Vanishing cream is a type of cosmetic product often used for its moisturizing properties. The importance of calculating correct proportions ensures effectiveness and stability of the cream.
Tips
- Forgetting to include the water weight in the total calculations.
- Confusing the densities and calculating volumes incorrectly.
- Not checking the final weight to ensure it adds up to 100g.
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