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Consider the decomposition of a metal oxide to its elements where M represents a generic metal:...

Consider the decomposition of a metal oxide to its elements where M represents a generic metal: M2O3 (s) -----------------------> 2 M (s) + 3/2 O2 (g) Delta Gf (kj/mol) for M2O, M and O = -8.10, 0, 0 <------------------ 1. What is the standard change in Gibbs energy for the reaction as written in the forward direction? Delta Grxn = ? kj/mol 2. What is the equilibrium constant for this reaction as written in the forward direction at 298 K? K = ? 3. What is the equilibrium pressure of O2 (g) over M (s) at 298 K? PO2 = ? atm

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Answer #1

M2O3 (s) -----------------------> 2 M (s) + 3/2 O2 (g)

G rex = Gf products -Gf reactants

                 =0 +0-(-8.1)

                  = 8.1Kj/mole

G>0 it is non spontaneous reaction

G = -RTlnKc

8100 = -8.314*298*2.303logKc

logKp = -8100/5705.8483

logKp = -1.42

     Kp = 10-1.42    = 0.038

Kp   = P3/2O2

= (0.038)3/2atm   = 0.0074atm

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