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Question

For the reaction, N2O52NO2+12O2, consider the equations, ddt[N2O5]=R1[N2O5], ddt[NO2]=R2[N2O5] and ddt[O2]=R3[N2O5].
The relation between R1, R2 and R3 is:

A
2R1=R2=4R3
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B
R1=R2=R3
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C
2R1=4R2=R3
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D
R1=4R2=R3
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Solution

The correct option is A 2R1=R2=4R3
The expression for the rate of the reaction is d[N2O5]dt=12d[NO2]dt=2×d[O2]dt ......(1)
But, d[N2O5]dt=R1[N2O5] .....(2)

d[NO2]dt=R2[N2O5] ......(3)
d[O2]dt=R3[N2O5] ......(4)
By substituting values of equations (2),(3) and (4) in equation (1), we get
R1[N2O5]=12R2[N2O5]=2×R3[N2O5]
2R1=R2=4R3

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