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$\bullet$ In the air we breathe at $72^{\circ} \mathrm{F}$ and 1.0 atm pressure, how many molecules does a typical cubic centimeter contain, assuming that the air is all $\mathrm{N}_{2} ?$

$2.484 \times 10^{19}$ molecule/ $\mathrm{cm}^{3}$ click to see the steps

Physics 101 Mechanics

Chapter 15

Thermal Properties of Matter

Temperature and Heat

The First Law of Thermodynamics

The Second Law of Thermodynamics

Cornell University

University of Sheffield

McMaster University

Lectures

03:15

In physics, the second law of thermodynamics states that the total entropy of an isolated system can only increase over time. The total entropy of a system can never decrease, and the entropy of a system approaches a constant value as the temperature approaches zero.

03:25

The First Law of Thermodynamics is an expression of the principle of conservation of energy. The law states that the change in the internal energy of a closed system is equal to the amount of heat energy added to the system, minus the work done by the system on its surroundings. The total energy of a system can be subdivided and classified in various ways.

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disses Chapter 15 Problem number 20. Assuming that the air is all like Trajan, guess had temperature 72 Fair Knight Handy if atmospheric pressure 1 p.m. Um, how many molecules are there in a cubic centimeter volume? So So we're basically asked how many molecules? Oh, obviously the electric. Right. So what are we ask your is basically, if you're right, the ideal yes law. In terms of ultimate constant, it's going to be PV equals in Katie. Thanks can. Okay, t So what were asked here is end. Basically, how many molecules would we have? So if you want to get theirs, we can divide both sides by cave times t write these, they're going to cancel out. So the number of molecules they're going to be full too. Pressure times the volume divided by pulse, one constant times the temperature. We need to pay attention to yeun. It's at this point because let's remember what Holtzman Constant is. It's 1.3 age time. Central negative. 23 jewels for Calvin. Okay, so, first of all, this means our temperature has to be in Calvin, right? We need to convert this to Calvin. This 72 Palm DeVries Fahrenheit. Second, we can't use the ATM. We have to write the pressure in terms of Paschal's, because that's what we use in the system. Right? And we cannot use him meter cubed. We have to convert those two meter cute Let's let's try and for a student conversions and then using this equation that would drive here from the ideal gas I saw. We can actually answer question, right? So for going from Farrah night to Calvin, let's remember on the side here, if we're are looking to find the temperature in Celsius, the conversion between Celsius and Fahrenheit is going to be five over nine times temperature in Farah night minus 32 right? So in our case, it's going to be five over nine hyung 72 minus 32 degrees, so that would give us 22.2 Celsius degrees. Now, if we want to go Teo Cal them from there, we know that all we need to do is to add 273 Calvin to the Celsius welly that we have. So it's going to be equal to 273 plus 22.2. The unit is going to be children here. All right, So when it comes to pressure, we're gonna have to convert. Be it must very pressure to Paschal, right? So then the conversion for that is going to be one. I am people's too long 10.13 times 1 10.13 10 to 4 or five passbooks, right? And as far as the law is concerned, one cubic centimeter equals to one times tempter from negative six meter Huge. Right? So since we have Cube, if you wanted to convert one centimeter to meter, it would be tempting for a negative through meters. Right? But now we have the Cube, so we're basically taking a feud of gold sides. So that's how we get 10 to go. Negative six eater. Cute. Right now you know the values. All we need to do is to use the situation and call me everything in there, right, So and he's going to be equal to one 0.0 13 times time to grow. Five rascals. Time's the right, The volume that we have one time principle or negative six year cute divided by the Balts money constant 1.38 times 10 to the negative. 23. Jules Heard Kevin. And then I have 200. Um, pardon me, but go back a little and write down. 273 plus 22.2 Kelvin Rain. Then when Everything in the final answer, we have to point for nine times. Touch of power of 19. Thank you.

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