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A $1.20-g$ sample of water is injected into an evacuated $5.00-\mathrm{L}$ flask at $65^{\circ} \mathrm{C}$. What percentage of the water will be vapor when the system reaches equilibrium? Assume ideal behavior of water vapor and that the volume of liquid water is negligible. The vapor pressure of water at $65^{\circ} \mathrm{C}$ is $187.5 \mathrm{mmHg}$.

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$66.8 \%$

Chemistry 102

Chapter 11

Intermolecular Forces and Liquids and Solids

Liquids

Solids

Rice University

Drexel University

University of Toronto

Lectures

04:08

In physics, a solid is a state of matter characterized by rigidity and resistance to changes of shape or volume. Solid objects have a definite volume, they resist forces (such as pressure, tension and shear) in all directions, and they have a shape that does not change smoothly with time. The branch of physics that studies solids is called solid-state physics. The physical properties of solids are highly related to their chemical composition and structure. For example, the melting point of ice is significantly lowered if its crystal structure is disrupted.

03:07

A liquid is a nearly incompressible fluid that conforms to the shape of its container but retains a (nearly) constant volume independent of pressure. As such, a liquid is one of the four fundamental states of matter (the others being solid, gas and plasma). A liquid is made up of tiny vibrating particles of matter, such as atoms, held together by intermolecular bonds. Water is, by far, the most common liquid on Earth. Like a gas, a liquid is able to flow and take the shape of a container. Most liquids resist compression, although others can be compressed. Unlike a gas, a liquid does not disperse to fill every space of a container, and maintains a fairly constant density. A distinctive property of the liquid state is surface tension, leading to wetting phenomena.

03:10

A 1.20 -g sample of water …

03:53

1.20-g sample of water is …

02:18

If $10.00 \mathrm{g}$ of w…

01:48

A 1.50-g sample of water i…

A quantity of liquid water…

04:10

A container has liquid wat…

01:05

04:47

A $10.0 \mathrm{g}$ sample…

02:30

The vapour pressure of wat…

05:15

This is a problem that we can approach using our good old friend. PV equals NRT the ideal gasol. We're going to determine the amount of water that's going to exist in the five liter container at 65 degrees Celsius under the given vapor pressure. But the first thing we're gonna do is we're gonna convert our pressure, which we know is equal to 1 87 0.5 millimeters of mercury. And we're gonna convert that over to kill a pascal's. Because we know that killer Pascal leaders is Jules, which lets us use in our value that, um, is 8.314 joules per mole. Kelvin. So let's do that conversion, and we're going to see that this is about 25.0. Keep here kind of convenient. So let's go ahead and rearrange here will say that N is gonna equal PV or rt. And that's gonna be 25 Killer Pascal's times Our volume of five leaders divided by R, which is 8.314 Jules per mole kelvin times are temperature, which is 65 plus 2 73 0.15 Calvin. All right, go ahead and compute this and this is equal to zero 0.4446 moles. Okay, now let's solve for the mess that we're working with here. The Mass is just n times Big M, which is our Mueller Mass, which is gonna be 18 0.2 grams. Permal for water times 0.4446 molds, which is equivalent to zero point 8012 grams. No, let's go ahead and figure out what percent that is. Percent is just going to be the amount that we have now over em Total, which is just 0.8012 grams, divided by 1.20 grabs, and that equals 66 0.8%.

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