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The rate of the reaction: 2N(2)O(5)rarr4...

The rate of the reaction: `2N_(2)O_(5)rarr4NO_(2)+O_(2)` can be written in three ways `-(d[N_(2)O_(5)])/(dt)=k[N_(2)O_(5)] , (d[NO_(2)])/(dt)=k'[N_(2)O_(5)] ,(d[O_(2)])/(dt)=k''[N_(2)O_(5)] ` The relationship between k and k' and between k and k'' are-

A

`k'=2k,k''=k`

B

`k'=2k,k''=k//2`

C

`k'=2k,k''=2k`

D

`k'=k,k''=k`

Text Solution

Verified by Experts

The correct Answer is:
B

`2N_(2)O_(5)rarr4NO_(2)+O_(2)`
`-(1)/(2)(d[N_(2)O_(5)])/(underset(k)underset(darr)(dt))=+(1)/(4)(d[NO_(2)])/(underset(k')underset(darr)(dt))=-(1)/(2)(d[O_(2)])/(underset(k'')underset(darr)(dt))`
`:.(1)/(2)k=(1)/(4)k'andk''`
So, `k'=2kand k''=(1)/(2)k`
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