In which of the following reactions, standard reaction entropy change ( S ) is positive and standard Gibb's energy change ( G ) decreases sharply with increasing temperature ?
- C(graphite)+ 12O2(g) CO(g)
- CO(g)+ 12O2(g) CO2(g)
- Mg(s)+ 12O2(g) MgO(s)
- 12C(graphite)+ 12O2(g) 12CO2(g)
Answer
(1) C(graphite)+ 12O2(g) CO(g)
Solution
G = H -T S ; G falls sharply with rise in T only when S is large and positive, i.e. when the number of gaseous moles increases.
(1) ng=1- 12=+ 12 S >0
(2) ng=1- 32=- 12 S <0
(3) ng=0- 12=- 12 S <0
(4) ng= 12- 12=0 S 0
Only for C(graphite)+ 12O2(g) CO(g), -T S makes G more negative as T rises (this is why carbon reduces metal oxides at high temperature).
Answer: (1)