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Chapter 4: Problem 47

Must the concentration of a mixture always be greater than the concentration of an ingredient in one of the solutions and less than the concentration of the ingredient in the other solution being mixed? Explain your answer.

Short Answer

Expert verified
No, the concentration of a mixture is not necessarily always greater than the concentration of an ingredient in one of the solutions and less than the concentration of the ingredient in the other solution being mixed. It rather depends on the initial concentrations and the volumes of the solutions being mixed.

Step by step solution

01

Understand Concentration of Mixtures

In chemistry, concentration is a measure of how much solute is dissolved in a specific amount of solvent or solution. When two solutions are mixed, the final concentration of the resulting solution will depend on the initial concentrations and the volumes of the two solutions. The concentration of the mixture could be more, less or the same as the concentrations of the individual solutions.
02

Give An Example To Illustrate The Change In Concentration

For instance, if equal volumes of two solutions A and B are mixed with A having a higher concentration than B, the final concentration of the mixture will be somewhere between the concentration of A and B. On the other hand, if the volume of solution B is much higher than the solution A even though A has a higher concentration, the final concentration could be less than both solutions as solution B dilutes the overall concentration.
03

Conclusion

Therefore, the concentration of a mixture does not always have to be greater than the concentration of an ingredient in one of the solutions and less than the concentration of the ingredient in the other solution being mixed. It all depends on the initial concentrations of the solutions and their volumes.

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Most popular questions from this chapter

In Exercises \(45-56,\) solve each system by the method of your choice. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. Explain why you selected one method over the other two. $$\left\\{\begin{aligned} 3 y &=2 x \\ 2 x+9 y &=24 \end{aligned}\right.$$

In Exercises \(61-68,\) solve each system or state that the system is inconsistent or dependent. $$\left\\{\begin{array}{l} 0.4 x+y=2.2 \\ 0.5 x-1.2 y=0.3 \end{array}\right.$$

In Exercises \(1-44,\) solve each system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. $$\left\\{\begin{array}{l} x+y=11 \\ \frac{x}{5}+\frac{y}{7}=1 \end{array}\right.$$

Solve $$-14 y=-168$$

When using the addition method, how can you tell if a system of linear equations has no solution?
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