Answer to Question #214826 in Physical Chemistry for Yad

Question

For the first order gas phase reaction of an organic compound at 130 0C at                     Ea is 108.4 kJmol-1and rate constant is 9.12x10-4 s-1. Calculate the standard entropy ΔS# of this reaction using eyring equation.

Answer 1

K = K_bT/h e^∆G/RT

K = K_bT/h e^∆S/R e^-Ea/RT

9.12x10-4 = 8.617×10⁻⁵ x 403/6.63 × 10-34 x e^∆S/8.314 x e^{-108.4/8.314 x403}

e^∆S/8.314 = 1.75 x10^-35

∆S/8.314 = -80.00

∆S= -665.15J/k