Chapter 16, Problem 69QRT

(a)

Interpretation Introduction

Interpretation:

The value of ${\Delta }_{\text{r}}G°$ for the reaction, ${\text{CH}}_2={\text{CH}}_2\left(g\right)+{\text{H}}_2\left(g\right)\rightleftarrows {\text{CH}}_3-{\text{CH}}_3\left(g\right)$, has to be calculated.  Whether the reaction is product favored or not under standard conditions has to be stated.

Concept Introduction:

The Gibbs free energy of a system is defined as the enthalpy of the system minus the product of the temperature times the entropy of the system.  The Gibbs free energy of the system is a state function as it is defined in terms of thermodynamic properties that are state functions.

(b)

Interpretation Introduction

Interpretation:

The equilibrium constant $\left(K_{\text{P}}\right)$ has to be calculated for the reaction, ${\text{CH}}_2={\text{CH}}_2\left(g\right)+{\text{H}}_2\left(g\right)\rightleftarrows {\text{CH}}_3-{\text{CH}}_3\left(g\right)$.  A comment on the connection between sign of ${\Delta }_{\text{r}}G°$ and value of $K_{\text{P}}$.

Concept Introduction:

The Gibbs free energy of a system is directly related to the equilibrium constant of a reaction.  The Gibbs free energy of the system is a state function as it is defined in terms of thermodynamic properties that are state functions.  The symbol for equilibrium constant is $K_{\text{P}}$.