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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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For a 1st order reaction, `k=(2.303)/(t)log""(a)/(a-x)`
In terms of pressures, `apropP_(0)` (initial pressure)
`a-xprop("pressure of "N_(2)O_(5)" at time t") `
`:.k=(2.303)/(t)log""(P_(0))/(P)" or "(kt)/(2.303)=logP_(0)-logP" or "logP=(kt)/(2.303)+logP_(0)`
Thus, plot of log P vs. t will be linear if the reaction is of 1st order. Further, form the straight line plot, slope `=(kt)/(2.303)` and intercept on log P axis = log `P_(0)`. Thus, rate constant k and initial pressure `P_(0)` can be found.
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