GraphicalRatesMethod2-Key-Chem110.pdf - 1. Based on the...

1. Based on the following experimental data, determine the rate law (including the rate constant) for the reaction A --> 2C.
[A] (M) Time (s)
0.5 0
0.46 50
0.41 100
0.37 150
0.33 200
0.29 250
0.24 300
0.20 350
0.16 400
0.11 450
0.07 500
ln[A] Time (s)
-0.6931472 0
-0.7830719 50
-0.8818893 100
-0.9915532 150
-1.1147417 200
-1.2552661 250
-1.4188176 300
-1.6144505 350
-1.8578993 400
-2.1803675 450
-2.65926 500
1/[A] (M
-1
) Time (s)
2 0
2.18818381 50
2.41545894 100
2.69541779 150
3.04878049 200
3.50877193 250
4.1322314 300
5.02512563 350
6.41025641 400
8.84955752 450
14.2857143 500
Concentration vs. time gives straight line…
Rate = 8.60x10
-4
Ms
-1
(A is zero order)
Concentration vs. Time
y = -0.000860x + 0.500000
R 2 = 1.000000
0
0.1
0.2
0.3
0.4
0.5
0.6
0 100 200 300 400 500 600
Time (s)
[A] (M)
ln(Concentration) vs. Time y = -0.00362x - 0.50015
R
2
= 0.93044
-3
-2.5
-2
-1.5
-1
-0.5
0
0 100 200 300 400 500 600
Time (s)
ln[A]
1/Concentration vs. Time
y = 0.0192x + 0.1508
R
2
= 0.7337
0
5
10
15
0 100 200 300 400 500 600
Time (s)
1/[A] (M
-1
)

2. Based on the following experimental data, determine the rate law (including the rate constant) for the reaction A --> B + C.
[A] (M) Time (s)
0.5 0
0.49 50
0.47 100
0.46 150
0.45 200
0.43 250
0.42 300
0.41 350
0.40 400
0.39 450
0.38 500
ln[A] Time (s)
-0.6931472 0
-0.7234339 50
-0.7528302 100
-0.781387 150
-0.8091509 200
-0.8361647 250
-0.8624679 300
-0.888097 350
-0.9130856 400
-0.937465 450
-0.9612641 500
1/[A] (M
-1
) Time (s)
2 0
2.0615 50
2.123 100
2.1845 150
2.246 200
2.3075 250
2.369 300
2.4305 350
2.492 400
2.5535 450
2.615 500
1/concentration vs. time gives straight line…
Rate = 1.23x10
-3
M
-1
s
-1
[A]
2
(A is second order)
Concentration vs. Time
y = -0.0002x + 0.495
R 2 = 0.9944
0
0.1
0.2
0.3
0.4
0.5
0.6
0 100 200 300 400 500 600
Time (s)
[A] (M)
ln(Concentration) vs. Time
y = -0.0005x - 0.6988
R
2
= 0.9986
-1.2
-1
-0.8
-0.6
-0.4
-0.2
0
0 100 200 300 400 500 600
Time (s)
ln[A]
1/Concentration vs. Time y = 38.141x + 60.821
R
2
= 0.7337
0
100
200
300
400
500
600
700
0 2 4 6 8