Calculating Zeta Potential of AgI Particles at 10 Angstroms

[jamesweston0]

Homework Statement

I want to be more generic with the question because I do want to understand the principles rather than just grab an answer. Assume AgCl particles were placed in a KCl solution of some molarity. The point zero charge value is known as is the concentration of Ag and the solubility product. This was all used to determine the surface potential.

How would one find the zeta potential of the silver iodide particles given a shear plane of 10 angstroms from particle surfaces?

Homework Equations

I literally have no idea what equations would be relevant. Sorry I can't be of any help in this regard.

The Attempt at a Solution

I have no idea where to start. I am not looking for a hand out in terms of the answer. I just want some guidance on how to approach such a question.

Thank you.

 

[nate808]

Hello!

Thank you for your question. It seems like you are working on a project related to surface potential and zeta potential, which are important concepts in colloid and surface chemistry.

To find the zeta potential of the silver iodide particles, you will need to use the following equation:

zeta potential = surface potential + shear plane potential

The surface potential can be calculated using the following equation:

surface potential = (RT/F)ln(C/C0)

Where R is the gas constant, T is the temperature in Kelvin, F is the Faraday constant, C is the concentration of Ag ions in the solution, and C0 is the solubility product of AgCl.

To find the shear plane potential, you will need to use the Helmholtz-Smoluchowski equation:

shear plane potential = (4πηεζ)/u

Where η is the viscosity of the solution, ε is the dielectric constant, ζ is the zeta potential, and u is the velocity of the fluid at the shear plane.

To determine the values for these equations, you will need to gather the necessary data such as temperature, concentration of Ag ions, solubility product, viscosity, and dielectric constant. Once you have all the values, you can plug them into the equations and solve for the zeta potential.

I hope this helps guide you in the right direction. Remember, understanding the principles behind the equations is important in fully grasping the concept of zeta potential. Good luck!