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While studying the decompoistion of gase...

While studying the decompoistion of gaseous `N_(2)O_(5)`, it is observed that a plot of logarithm of its partial pressure versus time is linear. What kinetic parameters can be obtained form this observation?

Text Solution

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Decomposition of `N_(2)O_(5)` follows first order kinetics for a first order process : In `([A]_(2))/([A])=kt`
`rArr" In "[A] =" In "[A]_(o) -kt`
If the reactant is in gaseous state
In `p=" In "p_(o)-kt" ….(i)"`
Where p is the partial pressure of reactant remaining unreacted at instant ‘t’ and `p_(o)` is its initial partial pressure. Also, from equation (i), ln p vs t would give a straight line. Therefore, decomposition of `N_(2)O_(5)` following first order kinetics.
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