Prepare 50g of vanishing cream. What quantities should be added to reach a total of 100g, considering the given ingredient weights and densities?

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Understand the Problem

The question is asking how to prepare 50g of vanishing cream with specific ingredient quantities and additional calculations involving the densities of rose oil and glycerin. The goal is to determine quantities that should be added to reach a total weight of 100g.

Answer

To prepare 100 g of vanishing cream, use 17 g stearic acid, 0.7 g KOH, 5 g glycerin, 2 g rose oil, and 75.3 g water.
Answer for screen readers

To prepare 100 g of vanishing cream, the quantities of ingredients are:

  • Stearic acid: 17 g
  • Potassium Hydroxide (KOH): 0.7 g
  • Glycerin: 5 g
  • Rose oil: 2 g
  • Water: 75.3 g

Steps to Solve

  1. Calculate Total Weight of Initial Ingredients

Add the weights of all specified ingredients used to prepare the vanishing cream.

Given:

  • Stearic acid = 17 g
  • Potassium Hydroxide (KOH) = 0.7 g
  • Glycerin = 5 g
  • Rose oil = 2 g

Total weight = $17 + 0.7 + 5 + 2 = 24.7 , \text{g}$

  1. Calculate Remaining Weight Needed to Reach 100g

Subtract the total weight of the initial ingredients from 100 g to find out how much more is needed.

Remaining weight = $100 - 24.7 = 75.3 , \text{g}$

  1. Determine the Contribution of Water

Since only water can make up the remaining weight, we can state that 75.3 g of water is needed to complete the formulation.

  1. Summary of Weights of Each Ingredient

Final weights of all ingredients to prepare 100 g of cream:

  • Stearic acid: 17 g
  • Potassium Hydroxide (KOH): 0.7 g
  • Glycerin: 5 g
  • Rose oil: 2 g
  • Water: 75.3 g

To prepare 100 g of vanishing cream, the quantities of ingredients are:

  • Stearic acid: 17 g
  • Potassium Hydroxide (KOH): 0.7 g
  • Glycerin: 5 g
  • Rose oil: 2 g
  • Water: 75.3 g

More Information

The formulation of vanishing cream is based on specific ingredient ratios and the requirement to add water until the total weight reaches 100 g. Understanding the role of each ingredient in cosmetic formulations helps in the correct preparation of creams and lotions.

Tips

  • Forgetting to verify the total weight after adding all ingredients before attempting to reach 100 g.
  • Assuming that other ingredients besides water can contribute to the remaining weight, when only water can fulfill that requirement in this case.

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