Map General Chemistry 4th Edition ? University Science Books presented by Saplin

Question

Map General Chemistry 4th Edition ? University Science Books presented by Sapling Learning cQuarrie Rock Gallogly The following equation represents the decomposition of a generic diatomic element in its standard state. 2X2(e) x(e) ? Assume that the standard molar Gibbs energy of formation of X(g) is 4.56 kJ mol- at 2000. K and -66.19 kJ-mol at 3000. K. Determine the value of K (the thermodynamic equilibrium constant) at each temperature At 2000. K, we were given: AG 4.56 kJ mor1 What is K at that temperature? Number K at 2000° K= At 3000. K, we were given: G-66.19 kJ mor What is K at that temperature? Number K at 3000. K-I

Explanation / Answer

Answer:

(a) Given ?G=4.56 kJ/mol=4.56x10^3 J/mol

T=2000 K, R=8.314 J/mol.K

?G=- RT lnK

4.56x10^3 J/mol=-(8.314 J/mol.K)(2000K) lnK

lnK=-0.274

K=e^-0.274=0.76

K=0.76 at 2000K.

(b) At 3000 K, ?G=-66.19 kJ/mol=-66.19 x10^3 J/mol

-66.19x10^3 J/mol= -(8.314 J/mol.K)(3000K)lnK

lnK=2.6537

K=e^2.6537=14.206.

K=14.206 at 3000 K.

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