Problem Set #31: Partial Molar Quantities

University:
The Pennsylvania State University
Course:
CHEM 450 | Thermodynamics
Academic year:

2024
Views:

390

Pages:

1
Author:

Alexis H.

Problem Set #31 Assigned: March 22, 2024 Due: March 25, 2024 at 2:30 pm 1. Define the concept of partial molar quantities and justify the statement that partial molar properties of a solute depend on the properties of the solution too. 2. Explain how non-expansion work can be related to the change in composition of the system. Note that dG = dwe,max. Specifically, focus your discussion on electrochemistry (i.e., a battery). 3. Suppose that nA = 0.10nB and that an infinitesimal change in the composition results in d 12 J/mol. How much will B change under these circumstances. A = 4. The experimental value of the partial molar volume of a salt in water with concentration is found to fit the expression, VB = 5.117 + 19.121x1/2, whereby x is the molality of the salt. Use the GibbsDuhem equation to derive an equation for the molar volume of water in the same solution. The molar volume of pure water is 18.079 cm3/mol. 1. Partial molar quantity is a substances contribution to a total property in a mixture, showing how adding or removing that component a ects the overall property. The partial molar properties of a solute depend on the properties because it makes a contribution to the properties of the solution. 2. Th change in composition of a substance can be used to perform work as the change in gibbs energy equals the change in work 3 Mana Mbnb 4 I xidVi O 9 Na 0.10ns Mana Mb Mb Ma 0.10Mb Mp Ma Mb 0.10 1.2 J Mol 1 4 1 9,5 k k C vi 19.12242 C 19.12210142 18.079 Vz 18.079 19.122112