J.R. S. answered 09/15/21
Ph.D. University Professor with 10+ years Tutoring Experience
Find ∆Hºrxn and ∆Sºrxn:
∑products - ∑reactants - NOTE: the format of your table is messed up, so hopefully I used the correct values. You need to double check that I did.
∆Hº = (51.70 x 2) - [(90.29 x 2) + 0)] = 103.4 - 180.6
∆Hºrxn = -77.2 kJ
∆Sº = (0.262 x 2) - [(0.211 x 2) + 0.223] = 0.524 - 0.645
∆Sºrxn = -0.121 (NOTE: changed units of ∆S to kJ/K-mol instead of J/K-mol)
At 587.5K, we can find ∆G as follows:
∆G = ∆H - T∆S
∆G = -77.2 - T(-0.121)
∆G = -77.2 - (587.5 * -0.121)
∆G = -77.2 + 71.1
∆G = -6.1 kJ/mol