Calculate the maximum tempurature this reaction can be to be spontaneous: Al(s)

Your answer is correct. She mistakenly took -413 J/K instead of -41.3.

ID: 991146 • Letter: C

Question

Calculate the maximum tempurature this reaction can be to be spontaneous:

Al(s) + Fe2O3(s) --> Fe(s) + Al2O3(s)

Delta H: -847.6 kJ

Delta S: -41.3 J/K

Her answer came out to be any temp higher than 2048K, or 1775C. I keep getting a different answer, and I don't know how. Here are her calculations:

Delta G = Delta H - T*DeltaS > 0

-847,600J - T(-41.3J/K) > 0

-847,600J > T(-41.3J/K)

2048K < T

In my calcuations, I got this:

(-847,600J)/(-41.3J/K) < T

20,523K < T

Are my calculations incorrect or are hers? I'm having a hard time figuring out how she did her work. Thanks in advance

Your answer is correct. She mistakenly took -413 J/K instead of -41.3.

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