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What Are Proportions in Chemical Mixtures?

November 10, 2017
by
Khan Academy
YouTube video player
What Are Proportions in Chemical Mixtures?

TL;DR

In chemical mixtures, proportions refer to the specified ratios of components used. For a sanitizing solution, 15 milliliters of bleach should be mixed with 3.75 liters of water, establishing a proportionality constant of 0.25. The correct combinations of bleach and water maintain this ratio to achieve the desired effect.

Transcript

  • [Instructor] We're told that Mael mixes 15 milliliters of bleach with 3.75 liters of water to make a sanitizing solution for a daycare. The amounts of bleach and water always have to be proportional when he makes the sanitizing solution. Which of the following could be combinations of volumes of bleach and water for Mael's sanitizing solution? An... Read More

Key Insights

  • 😒 Mael uses specific volume proportions when creating his sanitizing solution.
  • 💦 The proportionality constant between bleach and water is 0.25.
  • ❓ Combination choices that are not proportional are incorrect.
  • 💦 The correct combinations are 15 milliliters of bleach with 3.75 liters of water, 12 milliliters of bleach with 3 liters of water, and 6 milliliters of bleach with 1.5 liters of water.

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Questions & Answers

Q: What volumes of bleach and water does Mael mix to create the sanitizing solution?

Mael mixes 15 milliliters of bleach with 3.75 liters of water.

Q: What is the proportionality constant between bleach and water in Mael's sanitizing solution?

The proportionality constant is 0.25, which means that to go from bleach to water, you multiply by 0.25.

Q: How do we determine which combinations of volumes are correct for Mael's sanitizing solution?

We need to find combinations where the volume of bleach multiplied by 0.25 equals the volume of water.

Q: Why are the combinations 15 milliliters of bleach with 3.75 liters of water, 12 milliliters of bleach with 3 liters of water, and 6 milliliters of bleach with 1.5 liters of water correct?

These combinations have the same proportionality constant of 0.25 when going from bleach to water. When we multiply the volume of bleach by 0.25, we get the corresponding volume of water.

Summary & Key Takeaways

  • Mael mixes 15 milliliters of bleach with 3.75 liters of water to make a sanitizing solution, using a proportionality constant of 0.25.

  • We need to determine which of the given combinations have the same proportionality constant.

  • Three out of the five given combinations meet the required volume proportions.


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