2) Given the following initial rate measurements for the reaction A + B ? C (25

Question

2) Given the following initial rate measurements for the reaction A + B ? C (25 oC) Trial [A], M [B], M d[A]/dt, M/s 1 0.30 0.10 5.4E-4 2 0.10 0.20 6.0E-5 3 0.10 0.10 6.0E-5 a. Write the rate law for the reaction. ______________________________ b. What is the value of the rate constant? ___________________________ c. What is the rate if both [A] and [B] are 0.30M? ______________________ d. In trial 2, what is the half-life of the reaction? ________________________ e. The solution in trial 2 was heated 25 oC and the rate changed to 2.0 x 10-4. Calculate Ea.

Explanation / Answer

2) trial 1/trial 3 = (0.3/0.1)^n = 5.4 E-4/6E-5 , n = 2 , order with respect to A = 2, trial 2/trial1 = (0.2/0.1) ^m = 6E-5/6E-5 , m = 0 , order with respect to B = 0, b) rate = 5.4E-4 = k(0.3)^2 (0.1)^0 , k = 0.006 M-1s-1, c) rate = 0.006(0.3)^2 = 5.4E-4 , d) t1/2 = 1/ka = 1/(0.006 x 0.1) = 1666.7 seconds , e) rate2/rate 1 = k2/k1 = (2 x10^ -4)/(6x10^-5) = k2/0.06 , k2 = 0.02 , ln(k2/k1) = (E/R)(1/T1-1/T2) , T1 = 25C = 298 K , T2 = 25+25 = 50C = 323 K , ln( 0.02/0.006) = (E/8.314)(1/298 -1/323) , E = 38539.5 Joules/mol = 38.54 KJ/mol

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