GashawsChaplerooramoveable P AmBa Lockingpinpiston N

Volume

Temperaturevalve 1Moles Pressure

IdealGasAssumptionsGrasmolecules move in straight lines unaffectedby gravity changespeed direction throughCollisions

Size of molecule is not important think of

a gas molecule as a pointmass a mass

without volume

There are no attractive forces between

gasmolecules

kinetic moleculartheory Speedofgasmoleculeis proportional to it'stemperatureHotter faster motion

Collisions with walls result in the

transfer of force per unit area pressureof collisions the forceof collisionsx to pressure

protortional toalpha

Nz Oz 25 C traveling almost 500mphx

o 080loxdonaverage

a 7Ht A Ilsolid liquid gas90 95 particles 859090particles 0.1 particles

540 empty co 15 empty 99.9 empty

Condensed Matter

e cloud volume

nucleus mass

solid gas_o

OO emptySpaceO O O

5 109099.9

000

Properties of Gases

Volume

Temperatureamount of molecules

Pressure

N i rNphffffonble Amba LockingpinVolume

Temperaturevalve 1Moles Pressure

Pressure vs Volume holdtempsmolesConstant

Downward Force slowly

µ Removepinr N I swiyroanowo slowlytoallow tempto beantempto beconstant o oo r o b L Temperatureo L Temperature T andT o o 9

a a a M PressurePressure o Increase

LeepClosed Collisionsperunitarea moreparticlesperunit

pressures Volumemore collisions per unitfew collisions w area area

Higherpressure

down fu PT up InverseRelationship

XP Inverselyproportional toeach other

Temperature Pressure holdVoletueolesConst

Lock lock

1 ddamage damage

K I 055 Tvoe Mfq oOr 0 00 3Temperature 06 Temperature

T t Go a T o coyd Pressure fd de Pressureoak look

It Hparticles movingSlowly particles aremovingfasterd Colliding w initial Collide w the wall w morefrequencyduelocity frequencyper area

p initialCollisions are moreforcefulmore pressureincrease in pressure

417 x TT Directly proportional

Oa

1 1

f'EI spacetoil

Inside8 o

no collisions noheattransfer

ei.i t.itOutside

17isatinin

f inI atmosphere 14.7 lbs 1in

1 inan

atmosphere

Pressure vs MolesTemperature VolumeConstant

ImageImage

o o 0 ooo o oo o n oo o o o o o

o o a Io T a o e o1 o o o e O L Temperatureo o L Temperature T 0 oo V o e O

As more gasparticles arei added ThenumberofAdd collisionsgoes upGaigasmoles ofcollisions pressurepressuregoes up

aKI d n Comores 1

Directly proportional

Three things that are true

p x tv

p x T

P x n moles

p e I n Naav K lmoles ofatoms

in a moleas

A1 x gas 1

px gas 2

y mx t b gasy Mx bF m NI

NT

Slope M 0 0821 hmo9tmUniversal GasConstant

Formula for a line y Mx t bnI tSlovbe y intercepts

ay axis xx y mxtbµ xxxx d Tx

xxx y int0

z xl IT 0.0821 Latex molek

xxxxx

np x axis

y Mx b

D m to

D MntTl

0.0821 Late Universal Gas Constantmdekgive it the variable R

3 Sig figs2 atm12 0.0821 mole.tn

unixersalc rash.am

D RMTT

PV NRT

where R O 0821 Latm_mole ten moles

D pressure in atm

1 Temp in K

V Volume in Liters

Pressureunitst.bg inZ physicsPascal I N m2 I atone 101,325Pa

chemistryatmosphere atm 1 atm 14.7 Ibslin2

mmHg 1atm 760 mmHgTorr 60 atm 1 atm 760 torr

tommHg I torn

mmHg rometer2 vacuum At catm 760mmHg

inHg latin 29.9inHgmmHg Afmpressure

ftp.itgliquiaExproblemstt

container holds 0.0362 moles of nitrogengasThe Container has a volume of too.nl and

a temperature of 25 C What is the pressurein the container

P Pu NRTT 25 C 273,15 29 15K

y too mL x O 100 he D NRTn 0.0362 moles Iz yR 0.0821 Late 3 a 3 go 3 aMd k

p fo 0362modes 0.0821k1746298.154

2E4

2 158.86107763 atm

298 15 8.86atmTto 1

U

A Can with a volume of 22.4 L has 6.753gof nitrogen gas at 24.6 C What is the

pressure in the Can motor mass Nz 2 14.0151mole7 28.02gInsoleII

T 24 6 I 1 273.15 297.7 512

V 22.4 L4N 6.753g Nz x z z 0 24 06423983moles4R O 0821 Latemolt

TV NRT extended 4y 3

D nRyP_2410064moles 0.0821fnjf.tn 297.7

512

3

0.263401197171 atm of

oi263atmNz

Temp Conversions E

OF OC F 32 x

OC of OC x 1 00 32 OF

C K OC 273.15 K

C K100 C 375.15

0 C 273.15

Pv _NRT

7 TL constantNT22

PME R

RMCombined Gas Law

BikNz