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Dinitrogen pentoxide decomposes as follo...

Dinitrogen pentoxide decomposes as follows
`2N_2O_5 to 4NO_2+O_2`, The rate can be given in three ways `(-d[N_2O_5])/(dt)=k_1[N_2O_5],(d[NO_2])/(dt)=k_2[N_2O_5],(d[O_2])/(dt)=k_3[N_2O_5]`
The relation between the rate constants `k_1,k_2 and k_3` is

A

`k_2=2k_1 and k_3=1//2k_1`

B

`k_1=2k_2 and k_3=2k_1`

C

`k_1=k_2=k_3`

D

`k_1=2k_2=3k_3`

Text Solution

Verified by Experts

The correct Answer is:
A
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Dinitrogen pentoxide decomposes as follows N_2O_5 to 2NO_2 +1///2 O_2 , If -(d[N_2O_5])/(dt)=k'[N_2O_5],(d[NO_2])/(dt)=k''[N_2O_5], (d[O_2])/(dt)=k''[N_2O_5] . Derive a relation between in k',k'' and k''':

2N_2O_5 rarr 4 NO_2 +O_2 If -(D[N_2O_5])/(dt) =k_1[N_2O_5] (d[NO_2])/(dt) =k_2[N_2O_5] ([O_2])/(dt) =k_3[N_2O_5] What is the relation between k_1, k_2 and k_3 ? .

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The rate of reaction. 2N_(2)O_(5) to 4NO_(2) + O_(2) can be written in three ways. (-d[N_(2)O_(5)])/(dt) = k[N_(2)O_(5)] (d[N_(2)O_(5)])/(dt) =( k^(')[N_(2)O_(5)]) (d[O_(2)])/(dt) = (k^(')[N_(2)O_(5)]) The relation between k and k^(') are:

2N_(2)O_(5) rarr 4NO_(2) + O_(2) If (-d[N_(2)O_(5)])/(dt) = k_(1)[N_(2)O_(5)] (d[NO_(2)])/(dt) = k_(2)[N_(2)O_(5)] (d[O_(2)])/(dt) = k_(3)[N_(2)O_(5)] What is the relation between k_(1), k_(2) , and k_(3) ?