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The boiling point of methanol is $65.0^{\circ} \m…
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Problem 146 Hard Difficulty

Iron crystallizes in a body-centered cubic lattice. The cell length as determined by X-ray diffraction is $286.7 \mathrm{pm} .$ Given that the density of iron is $7.874 \mathrm{g} / \mathrm{cm}^{3}$ calculate Avogadro's number.

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Chemistry 102
Chemistry

Chapter 11

Intermolecular Forces and Liquids and Solids

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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.
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Video Transcript

to compute after God rose number. Let's start with the number of atoms we have in a BCC cell. So have a God rose number we can say is going to be equal to to Adams Purcell, who were eventually going to get this now till where we have Adam's per mole. So let's go ahead and multiply this by one cell per the volume of that cell, which we know is going to be 286.7 p. Commuters all cute. Yeah, not is gonna give us a value of 8.487 times 10 to the eighth Adams per peak. A meter cubed. But that's not a very helpful value because it's in P Commuters cube, not centimeters cute, which are density has been given to us it. So let's go ahead and convert this value. So, looking up a conversion, we see that there's a converted ratio of tend to the 30 that we're gonna need here. So we go ahead and compute this. Sorry, That should be times 10 to the negative eight atoms per peak. Amir Cube. So we go ahead and add that 30 there to get two Centimeters Cube and we get a value of 8.487 times 10 to the 22 Adams per centimeter cubed because there's 10 to the 30 p commuters cube per centimeter cube. Now, if we take this value and we, um, multiply it by art inverted density, we get times one centimeter cube her seven point 847 our 874 sorry grams and that will give us Allah God rose number and atoms per gram, which is 1.778 times tend to the 22 Adams per gram. And now we just have one conversion left, which is the fact that we are working with iron, so offer God Rose number is gonna equal 1.778 times 10 to the 22 atoms program times the molar mass of iron which is in grand per mole on that 55 0.8 45 grams per one more. And we compute that and we have a final value of 6.19 times 10 to the 23 Adams terminal, which is quite close to the accepted value of 6.22 times 10 to the 23. In fact, incredibly close, given that there's no air in either the 1st 2 digits.

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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.
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