statistical thermodynamics chapter 16
DESCRIPTION
Equations of stateTRANSCRIPT
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Ideal Gases
1L =1 dm3= 0.001 m3
1L=1000 cm3, cc, mL 1m3 =1000 dm3 =106 cm3
RTVPnRTPV
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Chapter 16: The Properties of Gases
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Gas Constant
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Real Gases versus Ideal Gases
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300 K
CH4
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Van der Waals, Redlich-Kwong, Peng-Robinson
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Van der Waals, Redlich-Kwong, Peng-Robinson
vdw ??
ethane at 400 K
ethane at 305.33 K
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Experimental P-V isotherms of CO2
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Cubic Equations of State describe both liquid and gaseous region
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Critical values of Pc , Vc , and Tc for vwd EOS
Critical values of Pc , Vc , and Tc for R-K EOS
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8 27
3 2 bRaT
baPbV ccc
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The value of is constant !!
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The constant values of EOS can be obtained from Pc and Tc
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Law of Corresponding States (LOCS)
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Based on LOCS, all gases have the same functional
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Virial Equation of State
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Experimental Determination of B2V
B2V and Temperature
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Relationships between virial coefficients and intermolecular interactions
r
Lennard-Jones Potential
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Divide both sides by
B2V and LOCS
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xr/TkT B VH /*
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@ T* | 3.2 , B2v (T*) =0
B*2V vs T* and Boyle Temperature
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The second virial coefficient indicates the first deviation from ideal gas
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Three contributions to attractive force
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Hard-Sphere Potential
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Square-Well Potential
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Relationship between B2V and a, b coefficients in vdw EOS
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Relationship between B2V and a, b coefficients in vdw EOS
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VS cNa A
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ANb SV
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