Equations of state, fugacity, vapor-liquid equilibrium, Raoult law, activity coefficients and chemical reaction equilibrium.
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- Ideal gas law equation
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PV = nRT
- Compressibility factor Z definition
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Z = PV/(nRT); ratio of real gas volume to ideal gas volume at same T and P
- Van der Waals equation of state
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[P + a(n/V)^2][V/n - b] = RT
- What do the constants a and b represent in the Van der Waals equation?
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a accounts for intermolecular attractive forces; b accounts for molecular volume
- Virial equation of state expresses compressibility as what?
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Power series in density or pressure: Z = 1 + B*P + C*P^2 + ...
- Redlich-Kwong equation of state
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P = RT/(V-b) - a/(T^0.5 * V(V+b))
- Principle of corresponding states relates compressibility factor Z to what?
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Reduced temperature Tr and reduced pressure Pr; Z = f(Tr, Pr) for different substances
- Critical point properties Pc, Tc, Vc are used to define what?
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Reduced properties: Pr = P/Pc, Tr = T/Tc, Vr = V/Vc
- Define fugacity
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Effective pressure that accounts for non-ideal behavior of a real gas
- Fugacity coefficient phi relates fugacity to pressure how?
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f = phi * P, where phi is fugacity coefficient
- For an ideal gas, what is the fugacity coefficient phi?
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phi = 1; fugacity equals pressure
- Standard state for fugacity in a solution is defined as what?
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Pure component at system temperature and pressure
- Define vapor-liquid equilibrium (VLE)
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State where liquid and vapor phases coexist in equilibrium with no net mass transfer
- Raoult's law for an ideal solution
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P_i = P_sat,i * x_i; partial pressure equals vapor pressure times liquid mole fraction
- Total pressure from Raoult's law for a binary system
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P = P_sat,1 * x_1 + P_sat,2 * x_2