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Consider the reaction: Al 2 O 3 (s) + 6HF(g) AlF 3 (g) + H 2 O(g) ! Given the fo

ID: 840994 • Letter: C

Question

Consider the reaction: Al 2 O 3 (s) + 6HF(g) AlF 3 (g) + H 2 O(g) ! Given the following table of thermodynamic data at 298K:

Substance                            Delta H                    S(J/K*Mol)

Al2                                        -1669.3                     50.99

HF(g)                                       -271.6                 173.5

AlF                                         -1209.3                276.7

H2                                           -241.8                     188.7

What is the value of Kc for this reaction at 298K?

PLease include all steps

Explanation / Answer

Al 2 O 3 (s) + 6HF(g) ----> 2 AlF 3 (g) + 3 H 2 O(g)

Delta H for the reaction

= 3 * -241.8 + 2* -1209.3 - ( 6 * -271.6 - 1669.3)

= 154.9 kJ = 154900 J

Delta S = 3*188.7 + 2*276.7 - ( 6*173.5 + 50.99)

= 27.51 J

Delta G = Delta H - T*Delta S

=  154900 - 298*27.51

= 146702.02 J

Kc = e^ (-Delta G /( R T )

Kc = e^ (-146702.02 / (8.314 * 298))

Kc = 1.925 x 10^-26