The following equation represents the decomposition of a generic diatomic elemen

Question

The following equation represents the decomposition of a generic diatomic element in its standard state.

Please Explain.

The following equation represents the decomposition of a generic diatomic element in its standard state. 1/2 X2(g) rightarrow X(g) Assume that the standard molar Gibbs energy of formation of X(g) is 4.61 kJ- mol-1 at 2000. K and -59.29 kJ - mol-1 at 3000. K. Determine the value of K (the thermodynamic equilibrium constant) at each temperature. Assuming that delta H degree rxn is independent of temperature, determine the value of delta H degree rxn from these data.

Explanation / Answer

Delta G = -2.303RTlog K

1.K at 2000k

log K = - (4.61 /2.303*8.314*10^-3*2000) = -0.12

K= 10^-0.12

K=0.757

2.K at 3000k

log K = 59.29 /2.303*8.314*10^-3*3000 = 1.03

K= 10^1.03

K=10.77

3. log[K2/K1]=Delta H/2.303 R[1/T1-1/T2] T2>T1

log[10.77/0.757] = Delta H/2.303*8.314 [1/2000-1/3000]

Delta H = 132.2 KJ/mol

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