3. The following data for the first-order decomposition of penicillin are obtained from Swintosky et al. Temp (°C) Тemp (К) 1/Тemp (1/K) 1st-order k (hr') In k 54 327 3.06 х 10-3 0.119 - 2.129 43 316 3.16 x 10-3 0.0403 - 3.211 37 310 3.23 х 10-3 0.0216 - 3.835 a) Plot the results and calculate the activation energy (E,) and the Arrhenius factor (A). 1/T (K)

Chemistry: Principles and Reactions
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Chapter11: Rate Of Reaction
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Problem 87QAP: A drug decomposes in the blood by a first-order process. A pill containing 0.500 g of the active...
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3. The following data for the first-order decomposition of penicillin are obtained from Swintosky et al.
Temp (°C) Temp (K) 1/Temp (1/K)
1st-order k (hr')
In k
54
327
3.06 х 103
0.119
- 2.129
43
316
3.16 х 10-3
0.0403
- 3.211
37
310
3.23 x 10-3
0.0216
- 3.835
a) Plot the results and calculate the activation energy (E,) and the Arrhenius factor (A).
1/T (K)
0.003
0.00305
0.0031
0.00315
0.0032
0.00325
-0.5
-1
-1.5
y = -10820x+ 28.987
R? = 1
-2
In k
In k =- E,/RT + In A
-2.5
-3
-3.5
-4
Transcribed Image Text:3. The following data for the first-order decomposition of penicillin are obtained from Swintosky et al. Temp (°C) Temp (K) 1/Temp (1/K) 1st-order k (hr') In k 54 327 3.06 х 103 0.119 - 2.129 43 316 3.16 х 10-3 0.0403 - 3.211 37 310 3.23 x 10-3 0.0216 - 3.835 a) Plot the results and calculate the activation energy (E,) and the Arrhenius factor (A). 1/T (K) 0.003 0.00305 0.0031 0.00315 0.0032 0.00325 -0.5 -1 -1.5 y = -10820x+ 28.987 R? = 1 -2 In k In k =- E,/RT + In A -2.5 -3 -3.5 -4
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