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Question

For the reaction,
N2O52NO2+12O2.
Given:d[N2O5]dt=K1[N2O5]
d[NO2]dt=K2[N2O5]
Andd[O2]dt=K3[N2O5]


The relation between K1,K2 and K3 is


A
2K1=K2=4K3
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B
K1=K2=K3
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C
2K1=4K2=K3
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D
K1=2K2=3K3
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Solution

The correct option is A 2K1=K2=4K3

The given reaction is,

N2O52NO2 + O2

Thus, rate of reaction = d[N2O5]dt= 12 d[NO2]dt = 2d[O2]dt


Substituting the given values of d[N2O5]dt , d[NO2]dt and d[O2]dt in the above equation :-


K1 [N2O5] = 12 K2 [N2O5] = 2 K3[N2O5] ---(i)

Multiply equation (i) by 2 :-

2 K1 [N2O5] = K2 [N2O5] = 4 K3[N2O5]

2 K1 = K2 = 4 K3


Hence, option A is correct.


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