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Aula #05
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
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
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
Gases…
R is the gas constant
PV = n RT
SI ... 8.3144598(48) J⋅mol−1⋅K−1
Dalton Law’s…
Gases…
R is the gas constant
PV = n RT
SI ... 8.3144598(48) J⋅mol−1⋅K−1
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.
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
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
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
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
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
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
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
Gases… PV = n RT
van der Waals …equation
Critical temperature, Tc
Tc critical temperature
SI ... 8.314 462 618 J⋅mol−1⋅K−1
Gases… PV = n RT
van der Waals …equation
Critical temperature, Tc
Tc critical temperature
SI ... 8.314 462 618 J⋅mol−1⋅K−1
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
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
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
Solid /liquid/Gases…
Phase diagram
CO2
Gases…
R is the gas constant
PV = n RT
SI ... 8.314 462 618 J⋅mol−1⋅K−1
https://www.chemix-chemistry-software.com/chemistry-software.html
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