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Vapor pressure measurements at several different temperatures are shown below for mercury. Determine graphically the molar heat of vaporization for mercury.$$\begin{array}{llllll}t\left(^{\circ} \mathrm{C}\right) & 200 & 250 & 300 & 320 & 340 \\P(\mathrm{mmHg}) & 17.3 & 74.4 & 246.8 & 376.3 & 557.9\end{array}$$

$$\Delta H=5.98 \mathrm{k}^{3} / \mathrm{mol}$$

Chemistry 102

Chapter 11

Intermolecular Forces and Liquids and Solids

Liquids

Solids

Carleton College

University of Maryland - University College

Brown 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.

02:02

Vapor pressure measurement…

04:43

The following data apply t…

01:31

Mercury is the only metal …

04:48

Vapor pressures of $\mathr…

Okay, So for this problem, we're going to use Thekla's his clapper on equation to find the Mueller in Ethiopia vaporization based on just the vapour pressure and the temperature, said the equation looks like this where the natural log our vapor pressure is equal to the negative heat of vaporization divided by R over tea, plus a constant. So this is useful to us because if we make the natural log of the pressure, why and one over tea X than M will be the vapour pressure divided by just divide by our. So all we need to do is figure out the slope of the line of the natural log of the pressure purses one over the temperature. No, they give us these temperature values. The first thing that we should do is convert them into Kelvin's because there are values and killed in and because most these problems are done in Calvin. So to do that, you just add 200. Some degree did about use. Now we need to take the inverse because that's going to be our X values one over 473 0.0 doing for, and those are going to be our X values. Now we need the Y values. So here I'm converting the Y values into Pascal's. Just keep everything in metric because our our values and metric So now we need to take the natural log of our vapor pressures. Now we have. It's in our points form us a straight line, and the slope of that line is going to be the negative. Vapor pressure divided by R are is 8.3 145 jewels per mole. So all we have to do is take our slope here, which is 7194 and multiply it by 8.314 and that gives us and answer of five point 98 killer jewels Permal.

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