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For the decomposition of a compount AB a...

For the decomposition of a compount AB at 600 K, the following data were obtained.

Find the order for the decomposition of `AB`.

Text Solution

Verified by Experts

The correct Answer is:
2

Let the rate equation for the reaction be
rate `=K[AB]^(n)`
For case `I: 2.75xx10^(-8)=K[0.20]^(n) …(1)`
For case `II: 11.0xx10^(-8) =K[0.40]^(n) …(2)`
For case `III: 24.75xx10^(-8) =K[0.60]^(n) …(3)`
Eq. (1) divide by eq. (2)
`(2.75xx10^(-8))/(11.0xx10^(-8))=([0.20]^(n))/([0.40]^(n))`
`implies 1/4=(1/2)^(n)`
`implies n=2`
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