{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Chapter 5

# Substance j in a mixture g j t

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: fined by n1, n2, ..., nJ,... Marand’s Notes: Chapter 5 - The Properties of Simple Mixtures 155 Examples of such partial molar quantities are: VJ The partial molar volume of substance J (volume occupied by one mole of J in the mixture with all other substances present) € The partial molar enthalpy of substance J SJ € HJ The partial molar entropy of substance J UJ The partial molar energy of substance J € We can apply all previously derived thermodynamic expressions to the € partial molar quantities. For example, we can write an expression for the change in the chemical potential of substance J in a mixture with temperature and pressure as: d GJ = dµ J = − SJdT + VJdP where: € \$∂G ' \$∂G ' SJ = −& J ) and VJ = & J ) % ∂T (P % ∂P ( T We can also derive the corresponding Maxwell equation for that substance: € \$∂S ' \$ ∂V ' −& J ) = & J ) % ∂P ( T % ∂T (P The other Maxwell equations are obtained in a similar fashion using € expressions for: Marand’s Notes: Chapter 5 - The Properties of Simple Mixtures 156 d UJ , d HJ , and dAJ € Similarly, we can derive the Gibbs- Helmholtz equation for substance J in a € € mixture: # # G && % ∂% J ( ( % \$ T ' ( = − HJ % ∂T ( T2 % ( \$ 'P In the same way as thermodynamic equations allowed us in Chapters 2 and € 3 to describe the evolution of a system and of its properties during a process, relationships between various partial molar properties allow us to understand evolution of the properties of a given substance within a mixture during any process. Let us now focus on how we can actually derive values for the partial molar properties of substances in a mixture. We are going to consider the “thermodynamic quantity” of interest to be the volume for a mixture consisting of two components A and B, so we will see how we can determine the partial molar volume of substances A and B in the mixture. Again, as was implied above,...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online