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Question : 22
Total: 30
The following data were obtained during the first order thermal decomposition of S O 2 C l 2 S O 2 C l 2 ( g ) → S O 2 ( g ) + C l 2 ( g )
Calculate the rate constant.
(Given: long4 = 0.6021 , log 2 = 0.3010
| Experiment | Time | Total pressure/atm |
|---|---|---|
| 1 | 0 | 0.4 |
| 2 | 100 | 0.7 |
(Given: long
Solution:
The given reaction is,
S O 2 C l 2 ( g ) → S O 2 ( g ) + C l 2 ( g )
P i = 0.4 a t m , P = 0.7 a t m , t = 100 s
Thus, according to the integrated rate law for gas phase
K =
× log 10
K = 2.303 × 10 − 2 × log 10
K = 2.303 × 10 − 2 × log 10 ( 4 )
K = 2.303 × 10 − 2 × 0.6021
K = 1.3866 × 10 − 2 s − 1
Thus, the rate constant for the above reaction is1.3866 × 10 − 2 s − 1
Thus, according to the integrated rate law for gas phase
Thus, the rate constant for the above reaction is
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