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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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Consider I order reaction:
`Kt=2.303 "log"_(10)a/((a-x))`
or `Kt=2.303 log_(10) a-2.303 log_(10) (a-x) …(1)`
In terms of pressure eq. (1) may be written as,
`:' a prop P_(0), (a-x) prop P`
`Kt=2.303 log_(10) P_(0)-2.303 log_(10) P`
or `log_(10) P=-K/2.303t+log_(10) P_(0)`
Thus, `logP` vs. time graph is linear with intercept equal to `log P_(0)` and slope equal to `-K/2.303`. Since linear results are thus, decomposition may be said to be of I order.
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