Thermodynamics  Video Lectures
Topic outline


Quick Review of Theory Page

Entropy Change of Mixing of Ideal Gases Page

Entropy Change of Mixing of Ideal Solution Page

Work for Separating a Mixture Page

Molar Property of Solution Page

Volumes of Individual Components for Mixture Page

Partial Molar Volume Page

Partial Molar Volume from Density Page

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Partial Molar Enthalpy at Infinite Dilution Page20165tdThe partial molar enthalpy (in kJ/mol) of species 1 in a binary mixture is given by \(\bar {H}_1=260x_2^2+100x_1x_2^2\), where \(x_1\) and \(x_2\) are the mole fractions of species 1 and 2, respectively. The partial molar enthalpy (in kJ/mol, rounded off to the first decimal place) of species 1 at infinite dilution is ____________
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Molar Properties of Solution from Tabular Data Page

Variation of Residual Gibbs Free Energy Page

Residual Enthalpy from Equation of State Page

Fugacity at Low Pressure Page

Fugacity of Gas from Virial Equation Page

Fugacity from G Page201734tdThe vapor pressure of a pure substance at a temperature \(T\) is 30 bar. The actual and ideal gas values of \(G/RT\) for the saturated vapor at this temperature \(T\) and 30 bar are 7.0 and 7.7, respectively. Here, \(G\) is the molar Gibbs free energy and \(R\) is the universal gas constant. The fugacity of the saturated liquid at these conditions, rounded to 1 decimal place, is ____________bar.
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G/RT of Solution Page201634tdA binary system at a constant pressure with species `1' and '2' is described by the twosuffix Margules equation, \(\displaystyle \frac {G^E}{RT}=3x_1x_2\), where \(G^E\) is the molar excess Gibbs free energy, \(R\) is the universal gas constant, \(T\) is the temperature and \(x_1\), \(x_2\) are the mole fractions of species 1 and 2, respectively. At a temperature \(T\), \(\dfrac {G_1}{RT} = 1\) and \(\dfrac {G_2}{RT} = 2\), where \(G_1\) and \(G_2\) are the molar Gibbs free energies of pure species 1 and 2, respectively. At the same temperature, \(G\) represents the molar Gibbs free energy of the mixture. For a binary mixture with 40 mole% of species 1, the value (rounded off to the second decimal place) of \(\dfrac {G}{RT}\) is ____________
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Activity Coefficient and Excess Gibbs Free Energy Page202019tdMole fraction and activity coefficient of component 1 in a binary liquid mixture are \(x_1\) and \(\gamma _1\) respectively. \(G^{\text {E}}\) is excess molar Gibbs energy of the mixture, \(R\) is universal gas constant and \(T\) is absolute temperature of the mixture. Which one of the following is always true?
 \(\displaystyle \lim _{x_1\rightarrow 1}\frac {G^{\text {E}}}{RT}=0.5\)
 \(\displaystyle \lim _{x_1\rightarrow 1}\gamma _1=0\)
 \(\displaystyle \lim _{x_1\rightarrow 1}\frac {G^{\text {E}}}{RT}=0\)
 \(\displaystyle \lim _{x_1\rightarrow 1}\gamma _1=0.5\)

Activity Coefficients from Expression of GE/RT Page

Slope of Activity Coefficient vs Composition Curve Page202140tdA binary liquid mixture consists of two species 1 and 2. Let \(\gamma \) and \(x\) represent the activity coefficient and the mole fraction of the species, respectively. Using a molar excess Gibbs free energy model, \(\ln \gamma _1\) vs. \(x_1\) curve at a mole fraction of \(x_1=0.2\) has a slope of \(1.728\).
The slope of the tangent drawn to the \(\ln \gamma _2\) vs. \(x_1\) curve at the same mole fraction is ________ (correct to 3 decimal places).
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