Nernst equation derivation from "summary" of Physical Chemistry by Robert G. Mortimer
To derive the Nernst equation, we begin with the fundamental equation for the Gibbs energy change of a cell reaction. This equation relates the standard Gibbs energy change to the equilibrium constant of the cell reaction. By using the relationship between the standard Gibbs energy change and the cell potential, we can derive the Nernst equation. The standard Gibbs energy change of a cell reaction is related to the standard cell potential by the equation ΔG° = -nFΔE°, where n is the number of moles of electrons transferred in the reaction and F is Faraday's constant. This equation allows us to calculate the standard Gibbs energy change of a cell reaction from the standard cell potential. The equilibrium constant of a cell reaction, K, is related to the standard Gibbs energy change by the equation ΔG° = -RTlnK, where R is the gas constant and T is the temperature in Kelvin. By equating the expressions for ΔG°, we can derive the relationship between the standard cell potential and the equilibrium constant: ΔE° = (RT/nF)lnK. The Nernst equation is an extension of this relationship to non-standard conditions. By considering the effect of concentrations on the cell potential, we can derive the Nernst equation: E = E° - (RT/nF)ln(Q), where Q is the reaction quotient for the cell reaction under non-standard conditions. In summary, the Nernst equation allows us to calculate the cell potential under non-standard conditions by taking into account the effect of concentrations on the equilibrium constant. By deriving the Nernst equation from the fundamental equations for the Gibbs energy change of a cell reaction, we can understand the behavior of electrochemical cells in various situations.
Similar Posts
Life is influenced by both internal and external factors
Life is a complex and dynamic phenomenon that is shaped by a multitude of factors, both internal and external. Our experiences,...
Practice exercises to enhance reasoning abilities
To enhance reasoning abilities, it is essential to engage in practice exercises that challenge the mind and promote critical th...
Tips and tricks shared for effective studying
Studying effectively is crucial for academic success. To help students improve their study habits and achieve better results, t...
Provides a competitive edge in NEET and AIIMS exams
This question bank has been specifically designed to give students a competitive edge when preparing for the NEET and AIIMS exa...
Empathy bridges gaps between people
Empathy, that elusive quality that allows us to understand and share the feelings of others, plays a crucial role in bridging t...
Chemical reactivity predictions
Chemical reactivity predictions involve using theoretical models and computational methods to anticipate how molecules will rea...
Energy transfer occurs through radiation, conduction, and convection
Energy transfer occurs through radiation, conduction, and convection. Radiation is the transfer of energy by electromagnetic wa...
Problemsolving skills are developed through practice
Developing problem-solving skills is a crucial aspect of learning, and this process is greatly enhanced through practice. When ...