Melting point and freezing relationship problems

homework - The effect of air pressure on the "melting point"? - Chemistry Stack Exchange

melting point and freezing relationship problems

Notice that this relation is actually reverse in water. The Melting Point does not go up for water until you apply over psia, in which case it. You may think the melting point and freezing point of a substance are the same temperature. Sometimes they are, but not always. Here's how it. The melting temperature of the pore ice revealed a good correlation with the capillary condensation pressure of nitrogen at 77 K, whereas the.

Preparing a Solution of the Unknown Compound Accurately weigh 0. Check to be sure the cyclohexane contained in the test tube has melted. Remove the stopper from the test tube and carefully add the unknown solid to the cyclohexane, avoiding the loss of any compound adhering to the sides of the test tube or stopper.

Replace the stopper and re-weigh the paper to account for any crystals that remain on it. Stir the solution in order to completely dissolve the solid. It is important that no crystals remain. Make a new ice-water bath. Measuring the Freezing Point of the Unknown Compound Prepare the computer to collect a second set of data.

Move the test tube that contains the solution into the ice-water bath. Immediately begin stirring the solution continuously and at a constant rate. Collect the data for — s in order to clearly see the change in slope that occurs as the solution freezes. Stop the data collection. Save the data, adjust the limits of the y-axis, title the graph, and print it.

Do not throw any cyclohexane or unknown compound down the sink. Pour the liquid mixture into the "Laboratory Waste" jar. Rinse the test tube and temperature probe with acetone to remove the last traces of any crystals, pouring the rinses in the waste jar.

Freezing-point depression is the phenomenon that is observed when the freezing point of a solution is lower than that of the pure solvent. This phenomenon results from interactions between the solute and solvent molecules. The difference in freezing temperatures is directly proportional to the number of solute particles dissolved in the solvent.

The molar mass of a non-volatile solute can be calculated from the difference in freezing temperatures if the masses of the solvent and the solute in the solution are known.

This video will introduce the relationship between freezing-point depression and the molar mass of the solute, a procedure for determining molar mass of an unknown solute, and some real world applications of inducing and observing changes in freezing temperature.

melting point and freezing relationship problems

Freezing point depression is a colligative property, meaning it is only affected by the ratio of solute to solvent particles, and not their identity. At the freezing point of a pure substance, the rates of melting and freezing are equal.

When a solution is cooled to the freezing point of its solvent, the solvent molecules begin to form a solid. It is less energetically favorable to form a mixed lattice of solvent and solute particles. The solute particles remain in the solution phase.

Freezing-Point Depression to Determine an Unknown Compound

Only solvent-solvent interactions contribute to lattice formation, so solvent-solute interactions reduce the rate of freezing compared to that of the pure solvent. The temperature at which freezing begins is the freezing point of the solution. The solution continues cooling as it freezes, but this continued decrease in temperature reflects the increasing concentration of solute in the solution phase. Eventually, the solution temperature is so low and so little solvent remains in the liquid phase that it becomes favorable for the solute particles to form a lattice.

Once this point is reached, the temperature remains approximately constant until the mixture has frozen solid. The molar mass of the solute, and therefore the identify of the solute, can be determined from the relationship between the freezing point of the pure solvent, the freezing point of the solution, and the molality of the solution. Molality, or m, is a measure of concentration in moles of the solute per kilogram of the solvent.

This relationship depends on the the freezing point depression constant of the solvent and the number of solute particles produced per formula unit that dissolves. Molality can be expressed in terms of molar mass, so the equation can be rearranged to solve for the molar mass of the solute.

Plugging this into the freezing point equation allows the elucidation of the molar mass, once the temperature difference is known. Now that you understand the phenomenon of freezing point depression, let's go through a procedure for determining the molar mass of an unknown solute from freezing point temperatures.

The solute is a non-ionic, non-volatile organic molecule that produces one particle per formula unit dissolved, and the solvent is cyclohexane.

To begin this experiment, connect the temperature probe to the computer for data collection. Insert the temperature probe and a stirrer into the sample container. Set the length of data collection and the rate of sampling.

Allow sufficient time in the data collection for the sample to freeze. Set upper and lower limits of the temperature range to sample. Add 12 mL of cyclohexane to a clean, dry test tube. Wipe the temperature probe with a Kimwipe. Insert the stopper assembly into the test tube such that the tip of the temperature probe is centered in the liquid and does not touch the sides or bottom.

In a beaker, prepare an ice water bath. Then, start the temperature data collection. Place the test tube into the ice water bath, ensuring that the level of liquid in the test tube is below the surface.

Continuously stir the liquid at a constant rate. Once freezing begins, allow data collection to continue until the plot has leveled off at a constant temperature. This is the freezing point of pure cyclohexane. Remove the test tube from the ice water bath and allow it to warm to room temperature. Once the cyclohexane has melted, accurately weigh the solid unknown material on weighing paper.

Remove the stopper from the test tube and add the solid. Avoid allowing compound to adhere to the test tube. Replace the stopper and stir the solution until the solid is completely dissolved. It is important that no solid crystals remain. Set the parameters for data collection and prepare a fresh ice water bath. Now, what happens if you were to introduce solute into it? Some of the solute particle might be down here. It probably doesn't have much of an effect down here, but some of it's going to be bouncing on the surface, so they're going to be taking up some of the surface area.

And because, and this is at least how I think of it, since they're going to be taking up some of the surface area, you're going to have less surface area exposed to the solvent particle or to the solution or the stuff that'll actually vaporize.

You're going to have a lower vapor pressure. And remember, your boiling point is when the vapor pressure, when you have enough particles with enough kinetic energy out here to start pushing against the atmospheric pressure, when the vapor pressure is equal to the atmospheric pressure, you start boiling. But because of these guys, I have a lower vapor pressure.

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So I'm going to have to add even more kinetic energy, more heat to the system in order to get enough vapor pressure up here to start pushing back the atmospheric pressure. So solute also raises the boiling point. So the way that you can think about it is solute, when you add something to a solution, it's going to make it want to be in the liquid state more. Whether you lower the temperature, it's going to want to stay in liquid as opposed to ice, and if you raise the temperature, it's going to want to stay in liquid as opposed to gas.

I found this neat-- hopefully, it shows up well on this video. I have to give due credit, this is from chem. This is just the surface of water molecules, and it gives you a sense of just how things vaporize as well. There's some things on the surface that just bounce off. And here's an example where they visualized sodium chloride at the surface.

And because the sodium chloride is kind of bouncing around on the surface with the water molecules, fewer of those water molecules kind of have the room to escape, so the boiling point gets elevated.

Now, the question is by how much does it get elevated? And this is one of the neat things in life is that the answer is actually quite simple. The change in boiling or freezing point, so the change in temperature of vaporization, is equal to some constant times the number of moles, or at least the mole concentration, the molality, times the molality of the solute that you're putting into your solution.

So, for example, let's say I have 1 kilogram of-- so let's say my solvent is water. And I have 1 kilogram of water, and let's say we're just at atmospheric pressure. And let's say I have some sodium chloride, NaCl. And let's say I have 2 moles of NaCl. I'll have 2 moles. The question is how much will this raise the boiling point of this water? So first of all, you just have to figure out the molality, which is just equal to the number of moles of solute, this 2 moles, divided by the number of kilograms of solvent.

So let's say we have 1 kilogram of solvent. This was, of course, moles. So our molality is 2 moles per kilogram. So we just have to figure out what this constant is, and then we'll know the temperature elevation. And actually, that same Purdue site, they gave a list of tables. I haven't run the experiments myself. They have some neat charts here. But they say, OK water, normal boiling point is degrees Celsius at standard atmospheric pressure.

And then they say that the constant is 0. So let's just say 0. So it equals 0. So k is equal to 0. And I want to be very clear here because this is a very-- I won't say a subtle point, but it's an interesting point. So I said that there's the molality of-- I just realized I made a mistake. I said the molality of sodium chloride is 2.

Boiling point elevation and freezing point depression (video) | Khan Academy

But that would be if sodium chloride stayed in this molecular state, if it stayed together, right? But what happens is that the sodium chloride actually disassociates, and we learned all about it in that previous video.

Each molecule or each sodium chloride pair disassociates into two molecules, into a sodium ion and a chlorine anion. And because of that, because this disassociates into two, the molality is actually going to be two times the number of moles of sodium chloride I have.

So it's going to be two times this. So my molality will actually be 4. And this is an interesting point. If I was dealing with-- and I wrote it here. So this right here is glucose, and this is sodium chloride, or at least sodium chloride in its crystal form. One molecule, I guess you can view it, or one salt of it. I guess you could just view it as one of these little pairs right here.

But the interesting thing is is you could have the same number of moles of sodium chloride when you view it as a compound and glucose. But glucose, when it goes into water, it just stays as one molecule of glucose. So a mole of glucose will disassociate into a mole of glucose in water. Well, I guess it won't disassociate. It'll just stay as one mole, while a mole of sodium chloride will turn into two moles because it disassociates.

melting point and freezing relationship problems

It turns into two separate particles. So in my example, when I start with a mole of this, I end up-- actually, once I dissolve it in water, I ended up with 4 moles per kilogram of molality, because this turns into two particles.

So given that the molality is 4 moles.