Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

The interionic distance of several alkali halide crystals are:$$\begin{array}{l}\mathrm{NaCl} \quad \mathrm{NaBr} \quad \mathrm{NaI} \quad \mathrm{KCl} \quad \mathrm{KBr} \quad \mathrm{KI} \\282 \mathrm{pm} 299 \mathrm{pm} 324 \mathrm{pm} 315 \mathrm{pm} 330 \mathrm{pm} 353 \mathrm{pm}\end{array}$$Plot lattice energy versus the reciprocal interionic distance. How would you explain the plot in terms of the dependence of lattice energy on distance of separation between ions? What law governs this interaction? (For lattice energies, see Table 9.1.)

Chemistry 102

Chapter 11

Intermolecular Forces and Liquids and Solids

Liquids

Solids

Rice University

Drexel University

University of Kentucky

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.

01:23

The interionic distance of…

03:55

The lattice energy of $\ma…

Okay, So for this problem, they want us to plug the lattice energy of these different compounds versus the reciprocal of the distance. So they've given us these distances which I've added into excel here, and they've given us these lattice energies, these air, as it says in a different table in the book. The first thing that we need to do is we need to find the reciprocal of these distances. So we need to take our distance. I know what one divided by the businesses for a sodium chloride that would be 0.35 one of her peak of meters. And even though those units don't make a lot of sense, well, we're really looking for Here is the pattern for when we crafted out. Let's go ahead and do that with all of them. We got one over this distance now over this distance. So now we need Teoh. A lot of those say we want for this graph. We want our X values be one over the distance and we want our Y values to be the lattice energies and killed joules per mole. All right, so that gives us a plot that looks kind of like this. I'm gonna go ahead and change the axes a little bit. Yes. So it's a little clear what we're looking at. So now we have a really good view of what's going on with the data. We see the trend that we see here is a straight line. So when we graph are soon we graph our inner lattice energy over here versus one over the distance. We can see pretty straight line in the trend. Now, this is based off of the relationship between Kalanick potential energy and distance. The equation for that is that our potential energy is some constant times are first charge. Times are second charge divided by our radius. So we've basically craft here is the relationship y equals MX plus B where X in this case is one over d. Why is our potential energy and M is this, said Constance

View More Answers From This Book

Find Another Textbook

00:28

Arrange the following aqueous solutions in order of decreasing freezing poin…

02:23

The retina of a human eye can detect light when radiant energy incident on i…

01:46

Under the same conditions of temperature and density, which of the following…

05:51

Carbon monoxide (CO) is a poisonous compound due to its ability to bind stro…

01:49

The pOH of a strong base solution is 1.88 at $25^{\circ} \mathrm{C}$. Calcul…

10:22

The gas laws are vitally important to scuba divers. The pressure exerted by …

02:05

Write Lewis structures for the reaction $$\mathrm{AlCl}_{3}+\mathrm{Cl}^{-} …

06:02

The $K_{\mathrm{a}}$ for benzoic acid is $6.5 \times 10^{-5} .$ Calculate th…

01:20

The ionization energies of sodium (in $\mathrm{kJ} / \mathrm{mol}$ ), starti…

01:17

Relative humidity is defined as the ratio (expressed as a percentage) of the…