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Question

The rate of the reaction 2N2O54NO2+O2 can be written in three ways:
d[N2O5]dt=k[N2O5]
d[NO2]dt=k[N2O5]
d[O2]dt=k[N2O5]
The relationship between k and k and between k and k are :

A
k=2k;k=k
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B
k=2k;k=k/2
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C
k=2k;k=2k
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D
k=k;k=k
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Solution

The correct option is B k=2k;k=k/2
The expression for the rate of the reaction can be written as :

12d(N2O5)dt=14d(NO2)dt=d(O2)dt

12k(N2O5)=14k(N2O5)=k(N2O5)

k2=k4=k

k=2k,k=k2

Thus, the relationship between k and k and between k and k are k=2k;k=k/2.

Hence, the correct option is B.

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