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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