
(a)
Interpretation:
The value of ΔH° for the formation of metallic mercury by heating the mineral cinnabar (HgS) needs to be determined,
HgS(s)+ O2(g) →Hg(l) + SO2(g)
Concept introduction:
The Gibb’s equation of
ΔG = ΔH - TΔS
With the help of this equation one can predict the change in ΔS, ΔH and ΔG. For any reaction the ΔH and ΔS can be calculated with the help of following equations.
ΔrS°= ΣΔrS°product - ∑ΔrS°reactantΔrH°= ΣΔrH°product - ∑ΔrH°reactant
(b)
Interpretation:
The reaction needs to be classified as spontaneous or non-spontaneous at 25°C if ΔS° for the formation of metallic mercury is +36.7 J/K and ΔrH°= -238.6kJ/mol.
HgS(s)+ O2(g) →Hg(l) + SO2(g)
Concept introduction:
The Gibb’s equation of thermodynamic purposed a relation between ΔS, ΔH and ΔG with Temperature. The mathematical expression of Gibb’s equation can be written as:
ΔG = ΔH - TΔS
With the help of this equation, one can predict the change in ΔS, ΔH and ΔG. For any reaction the ΔH and ΔS can be calculated with the help of following relation:
ΔrS°= ΣΔrS°product - ∑ΔrS°reactantΔrH°= ΣΔrH°product - ∑ΔrH°reactant
(c)
Interpretation:
The condition at which the reaction will be non-spontaneous for the formation of metallic mercury if ΔS° +36.7 J/K, ΔrG° = -249.5 kJ/mol and ΔrH°= -238.6kJ/mol needs to be determined.
HgS(s)+ O2(g) →Hg(l) + SO2(g)
Concept introduction:
The Gibb’s equation of thermodynamic purposed a relation between ΔS, ΔH and ΔG with Temperature. The mathematical expression of Gibb’s equation can be written as:
ΔG = ΔH - TΔS
With the help of this equation one can predict the change in ΔS, ΔH and ΔG. For any reaction the ΔH and ΔS can be calculated with the help of following relation:
ΔrS°= ΣΔrS°product - ∑ΔrS°reactantΔrH°= ΣΔrH°product - ∑ΔrH°reactant

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