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The decompoistion of Cl(2)O(7) at 400 K ...

The decompoistion of `Cl_(2)O_(7)` at `400 K` in gas phase to `Cl_(2)` and `O_(2)` is a first order reaction.
a. After `55 s` at `400 K`, the pressure of `Cl_(2)O_(7)` falls form `0.062` to `0.044 atm`. Calculate `k`.
b. Calculate the pressure of `Cl_(2)O_(7)` after `100 s` of decompoistion.

Text Solution

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`{:(,Cl_(2)O_(7),rarr,Cl_(2),+,7/2O_(2)),("Mole at t=0",a,,0,,0),("Mole at t=55 sec",(a-x),,x,,7x//2):}`
`a prop 0.062, (a-x) prop 0.044`
`:' K=2.303/t"log"_(10)a/(a-x)`
`:. K=2.303/55"log"_(10)0.062/0.044`
`K=6.23xx10^(-3) sec^(-1)`
(b) Let at `t=100 sec, (a-x) prop P`
`:. 6.23xx10^(-3)=2.303/100"log"_(10)0.062/P`
`:. P=0.033 atm`
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