aula #05 - moodle.up.pt · gases… r is the gas constant pv = n rt si ... 8.3144598(48)...
TRANSCRIPT
![Page 1: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/1.jpg)
Aula #05
![Page 2: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/2.jpg)
Gases…
R is the gas constant
PV = n RT
SI ... 8.3144598(48) J⋅mol−1⋅K−1
0.082057338(47) L atm K−1 mol−1
Ideal gas law
![Page 3: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/3.jpg)
PV = n RT
PVT…equation of state
PV = n RT Ideal Gas Law
P = f(T) ….linear
V = f(T) ….linear
P = f(1/V) ….1/x
![Page 4: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/4.jpg)
Gases…
R is the gas constant
PV = n RT
SI ... 8.3144598(48) J⋅mol−1⋅K−1
PVT…equation of state
PV = n RT Ideal Gas Lawvan der Waals …equation of stateReal behaviour
![Page 5: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/5.jpg)
Gases…
R is the gas constant
PV = n RT
SI ... 8.3144598(48) J⋅mol−1⋅K−1
Dalton Law’s…
![Page 6: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/6.jpg)
Gases…
R is the gas constant
PV = n RT
SI ... 8.3144598(48) J⋅mol−1⋅K−1
![Page 7: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/7.jpg)
Gases…
Ideal gas law
PV = n RT
SI ... 8.3144598(48) J⋅mol−1⋅K−1
0.082057338(47) L atm K−1 mol−1
R is the gas constant
The ideal gas law treats gas molecules as point
particles that do not interact except in elastic collisions.
In other words, they do
1 . not take up any space,
2. not attracted or repelled by other gas molecules.
![Page 8: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/8.jpg)
Gases…
R is the gas constant
PV = n RT
van der Waals …equation
The van der Waals equation of state approaches the ideal gas law PV=nRT
as the values of these constants approach zero.
In the real condictions, they do
1 . take space,
2. are attracted or repelled by other gas molecules.
SI ... 8.314 462 618 J⋅mol−1⋅K−1
![Page 9: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/9.jpg)
Gases…
R is the gas constant
PV = n RT
van der Waals …equation
The van der Waals equation of state approaches the ideal gas law PV=nRT
as the values of these constants approach zero.
(Vm - b) .. real volume that a real gas molecule takes up
b is the volume per mole that is
occupied by the molecules
SI ... 8.314 462 618 J⋅mol−1⋅K−1
![Page 10: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/10.jpg)
Gases…
R is the gas constant
PV = n RT
van der Waals …equation
The van der Waals equation of state approaches the ideal gas law PV=nRT
as the values of these constants approach zero.
a/Vm2 … intermolecular
attraction term a is constant depends on the gas
SI ... 8.314 462 618 J⋅mol−1⋅K−1
![Page 11: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/11.jpg)
Gases…
R is the gas constant
PV = n RT
van der Waals …equation
The van der Waals equation of state approaches the ideal gas law PV=nRT
as the values of these constants approach zero.
SI ... 8.314 462 618 J⋅mol−1⋅K−1
![Page 12: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/12.jpg)
Gases…
R is the gas constant
PV = n RT
van der Waals …equation
The van der Waals equation of state approaches the ideal gas law PV=nRT
as the values of these constants approach zero.
SI ... 8.314 462 618 J⋅mol−1⋅K−1
![Page 13: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/13.jpg)
Gases…
R is the gas constant
PV = n RT
SI ... 8.3144598(48) J⋅mol−1⋅K−1
van der Waals …equation
Corrects V ..space occupied“n” dependence
Corrects P ..intermolecular interactions“n” dependence“V” dependence
![Page 14: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/14.jpg)
Gases…
R is the gas constant
PV = n RT
van der Waals …equation
Critical temperature, Tc
Ideal
SI ... 8.314 462 618 J⋅mol−1⋅K−1
![Page 15: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/15.jpg)
Gases… PV = n RT
van der Waals …equation
Critical temperature, Tc
Tc critical temperature
SI ... 8.314 462 618 J⋅mol−1⋅K−1
![Page 16: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/16.jpg)
Gases… PV = n RT
van der Waals …equation
Critical temperature, Tc
Tc critical temperature
SI ... 8.314 462 618 J⋅mol−1⋅K−1
![Page 17: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/17.jpg)
Gases… PV = n RT
van der Waals …equation
Tc critical temperature
https://www.math24.net/van-der-waals-equation/
SI ... 8.314 462 618 J⋅mol−1⋅K−1
![Page 18: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/18.jpg)
Gases…
R is the gas constant
PV = n RT
van der Waals …equation
Deviation from ideal behavior
1 mol of N2
SI ... 8.314 462 618 J⋅mol−1⋅K−1
![Page 19: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/19.jpg)
Gases…
R is the gas constant
PV = n RT
PVT…equation of state
PV = n RT Ideal Gas Lawvan der Waals …equation of stateReal behaviour
SI ... 8.314 462 618 J⋅mol−1⋅K−1
![Page 20: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/20.jpg)
Solid /liquid/Gases…
Phase diagram
CO2
![Page 21: Aula #05 - moodle.up.pt · Gases… R is the gas constant PV = n RT SI ... 8.3144598(48) J⋅mol−1⋅K−1 0.082057338(47) L atm K−1mol−1 Ideal gas law](https://reader036.vdocuments.net/reader036/viewer/2022081406/5f0eb2cb7e708231d4407fdf/html5/thumbnails/21.jpg)
Gases…
R is the gas constant
PV = n RT
SI ... 8.314 462 618 J⋅mol−1⋅K−1
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