Use the table below to answer question for the following reaction.
N2O(g)+12O2(g)⇌2NO(g)
Species | ΔfG∘,kJ/mol |
NO(g) | 86.55 |
N2O(g) | 104.2 |
O2(g) |
0.00 A)Establish ΔrG∘ at 298 K |
B)Establish K at 298 K for the reaction
A)
we have:
Gof(N2O(g)) = 104.2 KJ/mol
Gof(O2(g)) = 0.0 KJ/mol
Gof(NO(g)) = 86.55 KJ/mol
we have the Balanced chemical equation as:
N2O(g) + 1/2 O2(g) ---> 2 NO(g)
deltaGo rxn = 2*Gof(NO(g)) - 1*Gof( N2O(g)) - 1/2 *Gof(O2(g))
deltaGo rxn = 2*(86.55) - 1*(104.2) - 1/2 *(0.0)
deltaGo rxn = 68.9 KJ/mol
Answer: 68.9 KJ/mol
B)
T = 298 K
G = 68.9 KJ/mol
G = 68900 J/mol
we have below equation to be used
deltaG = -R*T*ln K
68900 = - 8.314*298.0* ln(K)
ln K = -27.8095
K = e^(-27.8095)
K = 8.37*10^-13
Answer: 8.37*10^-13
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