The correct option is A -96.44
we know the relation
(△Go)298=−2.303RT log K
=−2.303×8.314×298×log(1.754×10−5)
=−2.303×8.314×298×(−5+log(1.754)
=−2.303×8.314×298×(−5+0.244)
=−2.303×8.314×298×−4.756
=27137 J.
△Go=△Ho−T△So
27137.01=−1550−298 △So
△S0=−96.265 J/mol.K