ladies and gentlemen welcome to the calls physical chemistry 101 1 my is not allowed in today's topic is the how to express and gas in numbers Makris called me but kinetics aims to describe

systems particularly simple systems are their views of to express the gas microscopically numbers mean the phenomenological description of the state variables without any underlying a mathematical

description the function connecting with the area back but a single component system can be represented by a surface and PBG's space at higher temperatures and low densities on the

screen locked area of the system is homogeneous and get and they described in a particularly simple way if we zoom out this area now the phase diagram guests a modest softly of an

ideal all powerful again with typically curve show if we accept gas experimentally and we find very similar relationships between the state variables

PE pressure we we model and the art that examined the compressibility couple of against when the scientists born in my lasted several hundred years ago examining how depends on pressure we find that at

constant temperature is gobbling up pressure causes of war to her within the expression and while you are inversely proportional the product P has to me is a Connes P

1 attempts we won the secret key to ask me to PC is inversely proportional to the this is lawyers long with this hand you can easily calculate a compass ability of 9 you gas too long the peace

iterative represent bond so graphically PV diversities following figure 4 1 is the initial state not for the 1 small pressure P 1 to this

final state small wooden nod oppression its points while on the long mathematical described as p tends to be isContr 12 _comma_decimal 4

years times to bother is exactly the same as when important 80 years times 1 wall the same representation in the PV phase diagram it's the red

lines the sexual view of the surface at a constant temperature at higher temperatures the other firm would run in this form the yellow that if we

examine the thought of the expansion coefficient and people again we come to the loss of a child and gives if you keep the pressure constant and change temperature who was when the portion of the 10 inch twice

as high temperature in kelvin means to lie a lot more so we'll which she is constant when the thermal expansion coefficient of can be carried out heaps of similar behavior for

change of pressure at constant boiling pressure is proportional to the temperature in kelvin all as a corridor heat this is of course chocolate P. over T is constant Peter is proportional to T if we plot this on the

diagram we obtain a straight line Fig. 1 corresponds to a lower pressure P 1 of the low temperature T 1 state to corresponds to a higher pressure P 2 where higher androgen key to the 2 states on a 0

_comma_decimal straight line if we extend the line to attach of the euro negative points in history on 1 of our being he says is posted rational in volume of an ideal gas disappear both sides of the call so again this exercise of loss can be represented in

meaning mention based on random and reside in straight lines only curvature if key posed pressure and temperature constant and only change the amount of substance of again the refined a very simple relationship we is proportional to N

and that's a really trivial relationship 1 mole of again has have the bottom as 2 moles of gas of the model volume of a gas is a very

special branch according to God told the number of molecules or atoms in a specific volume all night guess is independent of your heart so model while you look again against is independent of gas if

by you pass state 1 mode of any gas or gas mixture takes 24 point 8 years rewarding of guess the and normal conditions is 2 and 2 _comma_decimal 4 years if we

combine these 4 gas malls if you take the so-called idea guessed this is lost represented mathematically by this integrated part so close in PD histories the ideal gas

law is a function of two variables it's the grading of state for gasses P. is equal to R times T 0 he and we describe pressure p as a function of temperature T and all of William the

broccoli tionally constant on is that when you have a gas constant and is the same for all gasses why mathematical reclamation we can derive there's us a little and on my outlook from the combined graphical

this corresponds to the P the plane projection although PV praying projection of the period the cells the ideal gas law from the state of all gasses and their is often formulated as P

times indeed was and times off on the the pressure the volume and number of moles key temperature and you know gas constant it I is the gas constant is 8 point 3 1 4 1 yuan per mole and can New York 1

0 8 2 liters atmospheres per mole if we didn't want to use a number of moles and the number of gas particles at that and we have to use the Boston's constant K was there are with the ideal

gas law we are in private and state under the PGG circles yeah yeah gas law can be used to determine the more the mouse they get his nitrogen oxide denominations all lopsided a ratio

of 1 of 2 by that point the N O 2 and to investigation of the state of this gas the ideal gas law could clarify the we some of the mass the sample in real time the

measurement of pressure volume and temperature now I have the money away using these 4 data the molar mass is a quotient of mass and the only amount of substance and according to the ideal gas law N. equals PDO Artigue in summary

we get this formula but not all variables nest I units we can calculate the marginal way of Europe 0 9 2 pure the mode not to grant a load the gas is obviously dinitrogen tactics and to

well then you get a lot of of woods for gas mixtures if we calculate the total pressure of this mixture we take an entire month end too much the RT and divide by the if richer you all components but

1 of the red 1 we make also has the virtue of oppression which was called partial pressure by Mr. Daul the partial pressure of the red component is the pressure that this component would exert it was the only component in

the water each component has a part pressure in a gas mixture also the measurement of the partial pressure of ransom for selective pressures and has had to be used the calculation can be done by a simple idea gastric if we

divide class oppression and my children Russian we get an over and total which is the mode of action why the positive pressures piece of pie and

up to the total pressure show a slide the motive and so I do the total loans the the 2 formulations of God and floor but important government should is try and consists of about

70 80 motors and nitrogen and 21 motors and oxygen the total pressure of 1 ball the positive of not achieved and so on until it is equal to 0 _comma_decimal 7 8 ball and the part pressure the the peace

2 of oxygen is equal to 0 _comma_decimal 2 1 this summarize today's lecture the surface of the in the PDT diagram of a

gas is mathematically well described by the ideal gas law P equals RT over me in gas mixtures were verified parts of precious peace upon which I the total pressure days watching

goodbye