Chapter 24, Problem 24.18P

(a)

Interpretation Introduction

Interpretation:

The liquid diffusion coefficient of methanol at 288 K in the dilute solution with water is to be estimated. Also, the estimated value is to be compared with the experimental value from Appendix J.2.

Concept Introduction:

The Wilke and Chang equation to calculate the liquid mass diffusivity of solute A through its dilute solution in solvent B is:

$D_{AB}=\frac{\left(7.4\times {10}^{-8}\right){\left({\Phi }_B{M}_B\right)}^{1/2}T}{V_A^{0.6}{\mu }_B}$........... (1)

Here, $D_{AB}$ is the diffusivity of A through B in ${\text{cm}}^2/\text{s}$ , ${\mu }_B$ is the viscosity of the solution and in case of infinite dilute solution, it is taken as the viscosity of the solvent in $\text{cP}$ , $T$ is the absolute temperature of the solution in K, $M_B$ is the molecular weight of the solvent, $V_A$ is the molal volume of the solute at its normal boiling point in ${\text{cm}}^3/\text{g-mol}$ , and ${\Phi }_B$ is the association parameter of solvent B.

(b)

Interpretation Introduction

Interpretation:

The liquid diffusion coefficient of water at 288 K in the dilute solution with methanol is to be estimated. Also, the estimated value is to be compared with the experimental value from Appendix J.2.

Concept Introduction:

The Wilke and Chang equation to calculate the liquid mass diffusivity of solute A through its dilute solution in solvent B is:

$D_{AB}=\frac{\left(7.4\times {10}^{-8}\right){\left({\Phi }_B{M}_B\right)}^{1/2}T}{V_A^{0.6}{\mu }_B}$........... (1)

Here, $D_{AB}$ is the diffusivity of A through B in ${\text{cm}}^2/\text{s}$ , ${\mu }_B$ is the viscosity of the solution and in case of infinite dilute solution, it is taken as the viscosity of the solvent in $\text{cP}$ , $T$ is the absolute temperature of the solution in K, $M_B$ is the molecular weight of the solvent, $V_A$ is the molal volume of the solute at its normal boiling point in ${\text{cm}}^3/\text{g-mol}$ , and ${\Phi }_B$ is the association parameter of solvent B.

(c)

Interpretation Introduction

Interpretation:

The liquid diffusion coefficient of n-butanol at 288 K in the dilute solution with water is to be estimated. Also, the estimated value is to be compared with the experimental value from Appendix J.2.

Concept Introduction:

The Wilke and Chang equation to calculate the liquid mass diffusivity of solute A through its dilute solution in solvent B is:

$D_{AB}=\frac{\left(7.4\times {10}^{-8}\right){\left({\Phi }_B{M}_B\right)}^{1/2}T}{V_A^{0.6}{\mu }_B}$........... (1)

Here, $D_{AB}$ is the diffusivity of A through B in ${\text{cm}}^2/\text{s}$ , ${\mu }_B$ is the viscosity of the solution and in case of infinite dilute solution, it is taken as the viscosity of the solvent in $\text{cP}$ , $T$ is the absolute temperature of the solution in K, $M_B$ is the molecular weight of the solvent, $V_A$ is the molal volume of the solute at its normal boiling point in ${\text{cm}}^3/\text{g-mol}$ , and ${\Phi }_B$ is the association parameter of solvent B.

(d)

Interpretation Introduction

Interpretation:

The liquid diffusion coefficient of water at 288 K in the dilute solution with n-butanol is to be estimated. Also, the estimated value is to be compared with the experimental value from Appendix J.2.

Concept Introduction:

The Wilke and Chang equation to calculate the liquid mass diffusivity of solute A through its dilute solution in solvent B is:

$D_{AB}=\frac{\left(7.4\times {10}^{-8}\right){\left({\Phi }_B{M}_B\right)}^{1/2}T}{V_A^{0.6}{\mu }_B}$........... (1)

Here, $D_{AB}$ is the diffusivity of A through B in ${\text{cm}}^2/\text{s}$ , ${\mu }_B$ is the viscosity of the solution and in case of infinite dilute solution, it is taken as the viscosity of the solvent in $\text{cP}$ , $T$ is the absolute temperature of the solution in K, $M_B$ is the molecular weight of the solvent, $V_A$ is the molal volume of the solute at its normal boiling point in ${\text{cm}}^3/\text{g-mol}$ , and ${\Phi }_B$ is the association parameter of solvent B.