Algebra 31  Calculating Mixtures of Solutions  Summary and Q&A
TL;DR
This lecture explains the concept of solutions and concentration, specifically volume percent concentration. It demonstrates how to calculate the concentration of mixtures when combining solutions of different concentrations using algebraic equations.
Key Insights
 ❓ A solution is a mixture of a solute dissolved in a solvent.
 💨 Volume percent concentration is the common way to specify concentration when mixing two liquids.
 🔇 The volume percent concentration can be calculated by dividing the volume of the solute by the total volume of the solution and multiplying by 100.
 🪡 Algebraic equations can be used to determine the quantities of solutions needed to achieve a desired concentration when combining solutions with different concentrations.
 🔇 The sum of the volumes of the two combined solutions equals the total volume of the new mixture.
 🔇 The total volume of the solute in the mixture is the sum of the volumes of the solute from each solution.
 🔇 The total volume of the mixture is the sum of the volumes of the solute and solvent from each solution.
Transcript
Hello. I'm Professor Von Schmohawk and welcome to Why U. In the previous chapter we saw how Algebra can be used to solve various types of percentage problems including "percentage change" and "profit and loss". In this chapter we will see how to solve problems involving mixtures of solutions of different concentrations. But what exactly is a soluti... Read More
Questions & Answers
Q: What is a solution?
A solution is a mixture of a solute dissolved in a solvent. It consists of two components: the solute (the substance being dissolved) and the solvent (the substance in which the solute dissolves).
Q: How is the concentration of a solution specified?
The concentration of a solution is often specified as the volume percent concentration, which represents the percentage of the total volume of the solution that is made up of the solute.
Q: How is the volume percent concentration calculated?
The volume percent concentration is calculated by dividing the volume of the solute by the total volume of the solution, and then multiplying this fraction by 100 to get a percentage.
Q: How can algebra be used to solve mixture concentration problems?
Algebra can be used to calculate the quantities of two solutions with different concentrations that need to be combined to achieve a desired concentration. By setting up equations based on volume percent concentrations, the values of each mixture can be determined.
Summary & Key Takeaways

A solution is a mixture of a solute dissolved in a solvent, and the concentration indicates the percentage of solute in the solution.

Volume percent concentration is commonly used to specify concentration when mixing two liquids, calculated by dividing the volume of solute by the total volume of the solution and multiplying by 100.

To determine the concentration of a mixture when combining solutions with different concentrations, algebraic equations involving volume percent concentration are used.