Question

5. [20pt] The rate constant for the gas-phase reaction of ethane and hydrogen, C2H4 (g) + H2 (g) * CzH6 (8) was measured at different temperatures. a. (10pt) Starting from the definition of Arrhenius equation, k, = A exp(- 9), show the following relation, ink-(T2)). En 1 1 In (CJ) = Ř T where kr(Ti) and k (T2) are the rate constant at T1 and T2, respectively. b. (10pt) Use the following values to calculate the Arrhenius parameters (Eq and A). T/K 1000 1200 1400 1600 | kr/(dmºmol-15-1) 8.35x10-10 3.08x10-8 4.06x10-7 | 2.80x10-6

Answer 1

5 KA expRT Ea Now at tomporauve T omd T, we KyT)Aexp kn CT)Aep D& Ea RTI Ea RTL we t Takmg m' im e Ea RTI Ea mA- m Kr T) In Km (T) mA Im Kr T)mkr T)=K, Ea Ea t KTI Kr Kr T)

Kr 17) Nony-tak T 1000K T1200 K ()3-08x10 th tome we ha 30txI0& Ea 3.0X10- 8.314J mkx m35 0 Ea ర 40456Jmd 79973.403 Jm Ea 179.97kJ mot En Ea kr Ae KT Nony ११न३ ५०३ 7- G 161O A e m2mtts 8.35 XL0 A e- dm3mdi 1 993 403 8-314 IDo A 8.35X10 exp&31X(000 A2-10ms mds