If the entropy change for the reaction is ∆Ssys = −308.6 J mol-1 K-1  at 298,15 K,  what value must ∆Hsys have for the reaction to be spontaneous?

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter13: Spontaneous Processes And Thermodynamic Equilibrium
Section: Chapter Questions
Problem 22P: Use data from Appendix D to calculate the standardentropy change at 25°C for the reaction...
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Ammonium Nitrate is a fertilizer that can be made by combining nitric acid and ammonia as follows:

            HNO3(g) + NH3(g) à NH4NO3(s)

The change in entropy for the reaction is

∆Ssys =∑n∆Sprod − ∑ m∆Sreact

The change in the entropy for the surroundings is

∆Ssurr =−∆Hsys /T

and the change to the entropy of the universe is

∆Suniv = ∆Ssys +∆Ssurr

If the entropy change for the reaction is

∆Ssys = −308.6 J mol-1 K-1 

at 298,15 K,  what value must ∆Hsys have for the reaction to be spontaneous?

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