Two beakers are placed in a sealed box at 25 °C. One beaker contains 30.0 mL of a 0.050 M aqueous solution of a nonvolatile nonelectrolyte. The other beaker contains 30.0 mL of a 0.035 M aqueous solution of NaCl. The water vapor from the two solutions reaches equilibrium. (b) What are the volumes in the two beakers when equilibrium is attained, assuming ideal behavior?

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Hello everyone. Today. We are being asked the following question and asked to solve for it. It says at 25 degrees Celsius two beakers are placed in a vacuum beaker A. Has 40 mL of 400.45 molar solution of K. B. R. And B. Kirby has 40 mL of 400.65 molar solution of a non volatile non electrolyte both solutions. And the beakers were allowed to reach equilibrium assuming the ideal behavior, calculate the volume of the two beakers at equilibrium. So the first thing I wanna do is you want to note that X can be equal to the volume of solvent that was transferred. And by doing that we essentially have to pair up our milliliters with our polarity. And so first we take our 0.65 polarity multiply that by our milliliters for the bigger B. And we then divide this by We can say that we have 40 -1 middle leaders. We then have to take into account beaker A. We say that we have two times the malaria T. In this situation because it's KBR KBR associates into K ions as well as B. R minus. So that's why we have the two there. We multiply this two by 0.45 polarities times our milliliters of 40 and then we divide by the same measure. We do 40 instead of attracting X. We add X. Male leaders simplifying both sides. We end up with 2.6 times plus x. And for the other side we have 3.6 40 minus X. After cross multiplying these two, simplifying even further, we end up with 104 plus 2.6 X is equal to 1 44 minus 3.6 X. Simplifying this even further. To get only two variables, we will have 6.2 X is equal to 40. We will then have X is equal to 6.4516. We therefore have to take into account both beakers. So we say that for beaker A we have 40 plus X plus our 6. which what we saw for X is going to give us middle leaders and we do the same thing for B. Kirby. But instead we say 40 -1 which will essentially just be 40 -2 6.4516. And that's going to give us 32 middle leaders as our final answers. I hope this helped until next time.

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Key Concepts

Raoult's Law

Colligative Properties

Ideal Solution Behavior