Hello, everyone. And thanks for joining me, Miss Hallstrom. Today we're gonna be talking about morality, determination, and we're going to be using vapor pressures. And this is a several part problems, so be ready. Okay. First of all, we're given that a solution containing the solvent area and the vapor pray in a quiz solution. I should write a quick solution. And our givens are the vapor pressure of pure water are solvent, and our vapor pressure appear. Water is 23.76 millimeters mercury. We're given the vapor pressure of our solution, and that will be a little less. And that is 22.97 millimeters of mercury. And we're told that this reaction is that this solution is at 27 degrees Celsius and we're not going to need that. Okay, so let's make a plan. Our step one is we're going to use Our solution equals our mole fraction of our solvent times p of our solvent in water to find our mole fraction. That's step one. And then we'll know our mole fraction over solvent. And remember, the mole fraction of the solvent, which is step two, is moles of water. over Moles of Water plus moles of our Salyut, which is Yuria. And then we're going to use this knowledge right here for step two and we're gonna take the mole fraction that we've calculated from Step One our answer from number one. And we're going to say, Let's dissolve some unknown number of bulls X of Yuria in one mole of water So we'll have one mole in one more and we'll solve for X that will give us moles of Yuria. Once we have that Step three will be finding morality using our answer from number two Moles of Yuria And we will also be dividing that by the kilogram mass of one mole of water are solvent. Okay, let's begin. Step one If you recall r p of our solution is let me find that here 22 0.97 Mmh g equals the mole fraction of her solvent times The pressure of our solvent was 23.76 Can't get my parentheses there anyway, solving for the mole fraction of our solvent. This is pretty easy. We get it all wrong Later zero point 9667 But and that has no units. Okay. And number two again, We're going to take our mole fraction. All right, this down. Both fraction equals one mole of water. We're gonna pretend we have a mole of water, and we need to divide that by our one mole of water plus X. However many moles of area we have. So we're going to sub 0.96675 equals one over one plus x in these or moles. I should have left room there. Okay. Solving for X in this equation, X equals 0.344 more of our solvent. So now I know moles of solvent, which is one of the things I need for morality before we do our morality calculation. Remember that we said we have one mole of our solve it, which is water and water is 18.2 um, grams per mall decided that backwards, and then we're going to convert our grams two kilograms. So our kilograms will be, um, zero point 018 zero a little bit more room here. 0.180 kilograms of solvent and morality equals moles of Salyut divided by kilograms of solvent. Easy peasy, lemon squeezy. 0.344 bowls divided by 0.180 kilograms. And the answer is let me look back. But my answers here, it looks like I can have three significant figures. 1.91 more. Well, this is the concentration of her solution. Not too bad. Thanks for joining me.