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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?

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Considering as `1^(st)` order reaction
`k=(2.303)/(t)log_(10).(a)/((a-x))`
`implieskt=2.303log_(10)a-2.303log_(10)(a-x)`…………`(1)`
In terms of pressure
`a prop P_(0)`
`(a-x) prop P`
`K_(f)=2.303log_(10)P_(0)-2.303log_(10)P`
or `log_(10)P=-(K)/(2.303)t+log_(10)P_(0)`
Thus log `P` vs. time graph is linear with intercept equal to `P_(0)` and slope equal to `-(K)/(2.303)`. Since linear results are given decomposition may be said `1^(st)` order.
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