(Continues from Problem P16D.6) Now suppose that the overpotential is in the high overpotential region at all times even though it is oscillating, and that it takes the form of a sawtooth between varying linearly between \(\eta_{-}\) and \(\eta_{+}\) around an average of \(\eta_{0}\), but in such a way that \(\eta\) is always positive. Derive an expression for the variation in the current density across the interface; take \(\alpha=\frac{1}{2}\) .
Text Transcription:
eta_-
eta_+
eta_0
eta
alpha=1/2
Chapter 5: Thermochemistry Week 8 10/6/16 Chapter 5: Thermochemistry Part 2: Energy Basics 5.1 – Energy Basics Thermochemistry – the study of measuring the amount of heat (energy) absorbed or released during a chemical reaction or physical change Energy – the capacity to supply heat or do work Work (w) – the process of causing matter to move against an opposing force Potential Energy – the energy an object has because of its relative position, composition, or condition Ex. – An object on the edge of the table versus one on the floor Kinetic Energy – the energy an object possesses because of its motion Ex. – A toy car rolling down a hill as opposed to one already stopped at the bottom Thermal Energy – kinetic energy associated with the random motion of atoms and molecules Temperature – a quantitative measure of “hot” or “cold” Higher average kinetic energy = higher temperature *FLASHBACK Extensive Property – properties that do depends on the amount of matter present Temperature Intensive Property – properties that do not depend on the amount of matter present Thermal Energy Heat (q) – the transfer of thermal energy between two bodies at room temperatures aka “heat flow” *** Thermal energy naturally flows from objects with high temperature to object with low temperature Exothermic Process – any chemical or physical process that releases heat – “feels hot” Endothermic Process – any chemical or physical pro