How are we able to determine the order of a reaction from a data set that provides only concentration values and time?
time |
concentration |
0 |
0.01000 |
50 |
0.00887 |
100 |
0.00797 |
150 |
0.00723 |
200 |
0.00662 |
250 |
0.00611 |
Plot,
concentration vs time for zero-order kinetics
ln[concentration] vs time for first-order kinetics
1/concentration vs time for second-order kinetics
The plot where you get straight line is the order of the reaction,
As can be seen below, we get straight line plot in third plot. So reaction follows a second-order kinetics
rate = k[concentration]^2
Data point
time | conc. | ln[conc] | 1/conc |
0 | 0.01 | -4.6052 | 100 |
50 | 0.00887 | -4.7251 | 112.7396 |
100 | 0.00797 | -4.8321 | 125.4705 |
150 | 0.00723 | -4.9295 | 138.3126 |
200 | 0.00662 | -5.0176 | 151.0574 |
250 | 0.00611 | -5.0978 | 163.6661 |
Plots
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