Chapter 4, Problem 4D.13E

Interpretation Introduction

Interpretation:

Change in chemical potential of glucose when its concentration in water is changed from $\text{0}\text{.10}\text{mol}{\text{dm}}^{\text{-3}}\text{to}\text{1}\text{.00}\text{mol}{\text{dm}}^{\text{-3}}$ has to be given.

Concept introduction:

Chemical potential:

Chemical potential is the energy which is gained or released during phase transition due to change in number of particles.  It is a function which governs phase stability.  As the chemical potential for a phase decreases, its stability increases.

The chemical potential tell us how the Gibbs Free energy will vary with the number of moles $n_i$ of component I holding temperature, pressure, and the number of moles of all other components constant. For a pure substance, the chemical potential is equal to its molar Gibbs Free energy

Molal Gibbs free energy can be determined using the following formula as show below,

$\text{ΔG}\text{=}\text{RT}\text{ln}\frac{{\text{C}}_{\text{1}}}{{\text{C}}_{\text{2}}}\boxed{\begin{array}{l}\text{Where,}\\ \text{ΔG}\text{:}\text{Change}\text{in}\text{Gibbs}\text{free}\text{energy}\\ \text{R}\text{:}\text{Gas}\text{constant}\\ \text{T}\text{:}\text{Temperature}\\ {\text{C}}_{\text{1}}\text{:}\text{Initial}\text{concentration}\\ {\text{C}}_{\text{2}}\text{:}\text{Final}\text{concentration}\end{array}}$