Q28 of 39 Page 117

The decomposition of A into product has value of k as 4.5 × 103 s–1 at 10°C and energy of activation 60 kJ mol–1. At what temperature would k be 1.5 × 104s–1?

From Arrhenius equation, we obtain



Also, k1 = 4.5 × 103 s - 1


T1 = 273 + 10 = 283 K


k2 = 1.5 × 104 s - 1


Ea = 60 kJ mol - 1 = 6.0 × 104 J mol - 1


Then,



→ 0.5229 = 3133.627 × (T2-283)/(283 × T2)


→ 0.0472T2 = T2-283


T2 = 297K or T2 = 240 C


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