Sciencemadness Discussion Board

Spontaneous reaction

j4yman - 11-5-2006 at 00:46

I'm having trouble with this question...

For the process S8 (rhombic) --> S8 (monoclinic) at 110°C.
ΔH = 3.21 kJ mol-1 and ΔS = 8.70 J K-1 mol-1 (at 110°C).

Which of the following is correct?
a) This reaction is spontaneous at 110°C and S8 (monoclinic) is more stable than S8 (rhombic).
b) This reaction is spontaneous at 110°C and S8 (rhombic) is more stable than S8 (monoclinic).
c) This reaction is nonspontaneous at 110°C and S8 (rhombic) is more stable than S8 (monoclinic).
d) This reaction is nonspontaneous at 110°C and S8 (monoclinic) is more stable than S8 (rhombic)
e) Need more data.

So far i've used the formula to find ΔG to be -122.1
This means it is a spontaneous process, so it can't be c) or d). I'm pretty sure it isn't e)
How do i know which is more stable ?...a or b?

Thx.

Darkblade48 - 11-5-2006 at 07:16

I'm getting an answer of -132.105 J for ΔG, using T = 384.15 K (If you use 384 K, you get -130.8 J for ΔG).

Anyhoo, since your ΔG is negative, it definitely means the reaction is spontaneous (at least, assuming that this is a homework problem, and since you're given no other information...)

As for the whether or not S8 (monoclinic) is more stable than S8 (rhombic), I was under the impression that you could figure that out simply looking at the ΔG value. Since it's negative, it means the reaction will prefer to proceed as written, and from thre, you can figure out which one is more stable.

Microtek - 11-5-2006 at 09:30

Negative delta G does not necessarily mean that a reaction is spontaneous; if the activation energy is large enough, the reaction may never happen. Think of diamond in air ( C + O2 --> CO2 ) or any stable explosive. If I got that question I would answer "need more data" ( and the professor would probably count it as an error ).

chemoleo - 11-5-2006 at 09:49

I can't remember details, but doesn't the arrhenius equation answer at least part of your question? I hope I am not talking out of my backside...

guy - 11-5-2006 at 13:39

If it is endothermic, then wouldn't it be less stable?

neutrino - 11-5-2006 at 15:34

Strictly speaking, a negative delta G does make a reaction spontaneous. It may not happen at any significant rate, but it will still technically be spontaneous. In other words, the reaction will ultimately proceed to the right.

About stability, do you look at delta H or delta G? I thought it was H, but I'm not so sure.

Darkblade48 - 11-5-2006 at 22:59

Quote:
Originally posted by neutrino
About stability, do you look at delta H or delta G? I thought it was H, but I'm not so sure.

Wouldn't you look at delta G? Doesn't stability depend on both the heat of reaction as well as entropy?

guy - 11-5-2006 at 23:06

Actually yeah I think free energy determines stability.

j4yman - 12-5-2006 at 00:21

BTW, the answer was
a) This reaction is spontaneous at 110°C and S8 (monoclinic) is more stable than S8 (rhombic).
Thanks for the help, I got it right.!

chunkydrive - 16-6-2006 at 07:36

Hey, do you go to UQ? Check your U2U