Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Four reactions have these signs. (a) , . (b) , . (c) , . (d) , . For each, say whether it is spontaneous at all temperatures, at none, only at low temperature or only at high temperature.
Gibbs energy: , and at constant temperature . : spontaneous; : equilibrium; : not spontaneous. When and have the same sign, changes sign at . Put in kJ/(K mol), or in J/mol, before combining them.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
(a) Both parts are negative: spontaneous at all temperatures.
(b) Both parts are positive: never spontaneous.
(c) helps and hurts. At low temperature wins: spontaneous only at low temperature.
(d) hurts and helps. At high temperature the entropy part wins: spontaneous only at high temperature.
Answer: (a) always, (b) never, (c) only at low temperature, (d) only at high temperature.
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