In the Mond process for the purification of nickel,
carbon monoxide is reacted with heated nickel to produce
Ni(CO)4, which is a gas and can
therefore be separated from solid impurities:
Ni(s) +
4CO(g) ⇌
Ni(CO)4(g)
Given that the standard free energies of formation of
CO(g) and
Ni(CO)4(g)
are
−137.3 and −587.4 kJ/mol,
respectively, calculate the equilibrium constant of the reaction at
78.0
°
C.
Assume that
Δ
G
o |
f |
is temperature-independent.
we have:
Gof(Ni(s)) = 0.0 KJ/mol
Gof(CO(g)) = -137.3 KJ/mol
Gof(Ni(CO)4(g)) = -587.4 KJ/mol
we have the Balanced chemical equation as:
Ni(s) + 4 CO(g) ---> Ni(CO)4(g)
deltaGo rxn = 1*Gof(Ni(CO)4(g)) - 1*Gof( Ni(s)) - 4*Gof(CO(g))
deltaGo rxn = 1*(-587.4) - 1*(0.0) - 4*(-137.3)
deltaGo rxn = -38.2 KJ/mol
deltaGo rxn = -38200 J/mol
T= 78.0 oC
= (78.0+273) K
= 351 K
we have below equation to be used:
deltaG = -R*T*ln Kc
-38200 = - 8.314*351.0* ln(Kc)
ln Kc = 13.0902
Kc = 4.84*10^5
Answer: 4.84*10^5
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