Chapter 10, Problem 10.46PAE

10.46 Discuss the effect of temperature change on the spontaneity of the following reactions at 1 atm.

(a) ${\text{Al}}_{\text{2}}{\text{O}}_{\text{3}}\left(\text{s}\right)+2\text{Fe}\left(\text{s}\right)\to \text{2Al}\left(\text{s}\right)+{\text{Fe}}_{\text{2}}{\text{O}}_{\text{3}}\left(\text{s}\right)$

$\Delta \text{H}°$ = 851.5kJ; $\Delta \text{S}°$ =38.5 J/K

(b) ${\text{N}}_{\text{2}}{\text{H}}_{\text{4}}(\mathcal{l})\to {\text{N}}_{\text{2}}\left(\text{g}\right)+{\text{2H}}_{\text{2}}\left(\text{g}\right)$

$\Delta \text{H}°$ =-50.6 kJ; $\Delta \text{S}°$= 0.3315 kJ/K

(c) ${\text{SO}}_{\text{3}}\left(\text{g}\right)\to {\text{SO}}_{\text{2}}\left(\text{g}\right)+\frac{1}{2}{\text{O}}_{\text{2}}\left(\text{g}\right)$

$\Delta \text{H}°$ = 98.9 kJ; $\Delta \text{S}°$= 0.0939 kJ/K