# Problem: For the reaction, Fe2O3(s) + 3 H2(g) &lt;=&gt; 2 Fe(s) + 3 H2O(g), ΔG° = 53 kJ at 25 °C and ΔH° = 100 kJ. Which of the following is completely true about the relationship between ΔG and T for this reaction?a. ΔG &lt; 0 when T &gt; 635 Kb. ΔG &lt; 0 when T &lt; 635 Kc. ΔG &lt; 0 at all temperatured. ΔG = 0 when T &lt; 635 Ke. ΔG = 0 when T &gt; 635 K

###### FREE Expert Solution

We’re being asked to determine the relationship of spontaneity or standard free energy change (ΔG) and high temperature (635 K) for the reaction:

Fe2O3(s) + 3 H2(g) ⇌ 2 Fe(s) + 3 H2O(g),                            ΔG° = 53 kJ at 25 °C and ΔH° = 100 kJ

In this case, we can determine ΔS and use the relationship between ΔS and ΔH.

We can calculate for ΔS  using the following equation:

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###### Problem Details

For the reaction, Fe2O3(s) + 3 H2(g) <=> 2 Fe(s) + 3 H2O(g), ΔG° = 53 kJ at 25 °C and ΔH° = 100 kJ. Which of the following is completely true about the relationship between ΔG and T for this reaction?

a. ΔG < 0 when T > 635 K

b. ΔG < 0 when T < 635 K

c. ΔG < 0 at all temperature

d. ΔG = 0 when T < 635 K

e. ΔG = 0 when T > 635 K