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Question

Consider a system containing NO2 and SO2 in which NO2 is consumed in the following two parallel reactions: 2NO2k1N2O4 and NO2+SO2k2NO+SO3. The rate of disappearance of NO2 will be equal to:

A
k1[NO2]2+k2[NO2]
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B
k1[NO2]2+k2[NO2][SO2]
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C
2k1[NO2]2
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D
2k1[NO2]2+k2[NO2][SO2]
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Solution

The correct option is D 2k1[NO2]2+k2[NO2][SO2]
For the reaction 2NO2k1N2O4 and NO2+SO2k2NO+SO3, the rate of the reaction is 12d[NO2]dt=k1[NO2]2.
d[NO2]dt=2k1[NO2]2 .....(1)

For the reaction 2NO2k1N2O4 and NO2+SO2k2NO+SO3, the rate of the reaction is d[NO2]dt=k2[NO2][SO2] ......(2)
So, from equations (1) and (2), we get the rate of disappearance of NO2 is equal to d[NO2]dt=2k1[NO2]2+k2[NO2][SO2].

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