Chapter 18, Problem 100SCQ

Interpretation Introduction

Interpretation:

The reaction between ${\text{Fe}}_{\text{2}}{\text{O}}_{\text{3}}\left(\text{s}\right)$ and $\text{C}\left(\text{s}\right)$ should be written. The response of ${\text{Δ}}_{\text{r}}{\text{G}}^{\text{°}}$ with respect to temperature and the temperature at which reaction will be product favoured at equilibrium should be identified.

Concept introduction:

The Gibbs free energy or the free energy change is a thermodynamic quantity represented by ${\text{ΔG}}^{\text{o}}$. It is related to entropy and entropy by the following expression,

  ${\text{ΔG}}^{\text{o}}{\text{= ΔH}}^{\text{o}}{\text{-TΔS}}^{\text{o}}$

The sign of ${\text{Δ}}_{\text{r}}{\text{G}}^{\text{o}}$ should be negative for a product-favored reaction. Thus, spontaneous reactions are referred to those that have negative free energy formation.