Chapter 17, Problem 17.84QP

Interpretation Introduction

Interpretation:

The equilibrium constant $Kp$ value should be derived given the equilibrium reaction at ${300}^{°}\text{C}$.

Concept Information:

In thermodynamics, free energy (Gibbs free energy) is the term that is used to explain the total energy content in a thermodynamic system that can be converted into work.  The free energy is represented by the letter G.

The equation given below helps us to calculate the change in standard free energy in a system.

$\text{ΔG}°\text{ = }\Delta {\rm H}°\text{- T}\Delta \text{S}°$

Free energy (Gibbs free energy) is the term that is used to explain the total energy content in a thermodynamic system that can be converted into work.  The free energy is represented by the letter $\text{G}$.  All spontaneous process is associated with the decrease of free energy in the system.  The standard free energy change ${\text{(ΔG}}^{\text{°}}{}_{\text{rxn}})$ is the difference in free energy of the reactants and products in their standard state.

$\begin{array}{l}{\text{ΔG}}^{°}\text{=-RTln}\text{K }\\ \text{ΔG}=\text{Free energy}\\ {\text{ΔG}}^{°}=\text{Standard state free energy}\\ \text{R}\text{=}\text{Gas}\text{Constant}(\text{0}\text{.0826}\text{l}\text{.atm/K}\text{.atm})\\ T=\text{Temprature}\text{273}\text{K}\\ \text{K=}\text{Equlibrium}\text{Constant}{\text{(K}}_{\text{P}}\text{and}{\text{K}}_{\text{C}}\text{)}\end{array}$${\text{ΔG}}^{\text{°}}{}_{\text{rxn}}\text{=}\sum {\text{nΔG}}_{\text{f}}{}^{\text{°}}\text{(Products)-}\sum {\text{nΔG}}_{\text{f}}{}^{\text{°}}\text{(Reactants)}$