A reaction A B has the following time dependence for the concentration of [A] vs

Question

A reaction A B has the following time dependence for the concentration of [A] vs time. For t=(0 s, 5 s, 10 s, 15 s, 25 s) the concentration of [A]=(30.00 M, 19.22 M, 12.32 M, 7.89 M, 3.24 M). The initial concentration of [A] is the value at t=0 s. (A)Calculate the values of the rate constant k assuming that the reaction is first order. What is the value of k at 5 s? s-1 What is the value of k at 10 s? s-1 What is the value of k at 15 s? s-1 What is the value of k at 25 s? s-1 (B)Calculate the value of k assuming that the reaction is second order. What is the value of k at 5 s? M-1s-1 What is the value of k at 10 s? M-1s-1 What is the value of k at 15 s? M-1s-1 What is the value of k at 25 s? M-1s-1 (C)Use your results from parts A and B above to decide what the order of the reaction is for your data. (Enter 1 or 2) (D)What is the concentration of [A] at time t=64 s? M

Explanation / Answer

for first order, kt = ln (Co/Ct)) A) k*5 = ln (30/19.22) ; k = 0.089 sec^-1 k*10 = ln(30/12.32) ; k = 0.0.089 sec^-1 k*15 = ln(30/7.89) ; k = 0.089 sec^-1 k*25 = ln(30/3.24) ; k = 0.089 sec^-1 B) 1/kt = 1/Ct - 1/Co k(@5) = 10.69 k(@10) = 2.09 k(@15) = .713 k (@25) = .145 C) 1st order reaction d) t=64, 64*0.089 = ln (30/Ct) ; Ct = 0.1 M

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