For A products, time and concentration data were collected and plotted as shown

Question

For A products, time and concentration data were collected and plotted as shown here. 0.500 00 0.319 30.0 0.203 60.0 0.130 90.0 In[A] 1/[A] Determine the reaction order, the rate constant, and the units of the rate constant. Number Number Units order 1 k- 110.05494571 ST Incorrect. For a reaction order of 1, the proper integrated rate equation is where Ao = 0.500 M. can be any of the other concentration values, so long as you use the value of t from that same row. Solve for k. ua o t ro that sanerow. Sovte fon values, so long as you use the

Explanation / Answer

1. From the graphs of [A] vs time, ln [A] vs time and 1/[A] vs time we infer that the given reaction is a first order reaction.

For a first order reaction, ln[A0] - ln [A] = kt

substituting values, A0 = 0.500, A = 0.203 , t = 60

ln(0.5) - ln(0.203) = 60 k

k = [-0.693 - (-1.595)] / 60 = 0.015 s-1

unit of k = s-1

2. integrated rate law for second order reaction

1/[A] - 1/[A0] = kt

given, A0 =0.660 , A =0.280 , k= 0.500

1/ 0.280 - 1/0.660 = 0.500 (t)

t = (3.571 - 1.515)/ 0.5 = 4.112 s = approx 4 sec

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