Chapter 3, Problem 3D.2ST

Interpretation Introduction

Interpretation:

The total entropy change resulting from the given reaction has to be calculated.

Concept Information:

Standard reaction entropy: Difference in molar entropy between the products and the reactants in their standard states is called the standard reaction entropy,

${\text{Δ}}_{\text{r}}{\text{S}}^{\text{o}}\text{=}{\displaystyle \sum _{\text{products}}{\text{νS}}_{\text{m}}{}^{\text{o}}}\text{-}{\displaystyle \sum _{\text{reactants}}{\text{νS}}_{\text{m}}{}^{\text{o}}}$

Where,

$\text{ν}$ is the stoichiometric coefficients in the chemical equation

Total entropy: The sum of entropy of system and surrounding gives the total entropy.

$\begin{array}{l}{\text{Δ}}_{\text{r}}{\text{S}}^{\text{o}}{}_{\text{total}}\text{=}{\text{Δ}}_{\text{r}}{\text{S}}^{\text{o}}{}_{\text{sys}}\text{+}{\text{Δ}}_{\text{r}}{\text{S}}^{\text{o}}{}_{\text{surr}}\\ \\ {\text{Δ}}_{\text{r}}{\text{S}}^{\text{o}}{}_{\text{total}}\text{=}\left[{\displaystyle \sum _{\text{products}}{\text{νS}}_{\text{m}}{}^{\text{o}}}\text{-}{\displaystyle \sum _{\text{reactants}}{\text{νS}}_{\text{m}}{}^{\text{o}}}\right]\text{+}{\text{Δ}}_{\text{r}}{\text{S}}^{\text{o}}{}_{\text{surr}}\end{array}$