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Azoisopropane decomposes acording to the...

Azoisopropane decomposes acording to the reaction:
`(CH_(3))_(2)CHN = NCH(CH_(3))_(2)(g) overset(250-290^(@)C)rarr N_(2)(g) + C_(6)H_(14)(g)`
It is found to be a first order reaction. If the initial pressure is `P_(0)` and pressure of the mixture at time `t` is `(P_(t))`, then the rate constant `(k)` would be

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