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Not sure if K_1[NO_2]^2 is correct for the production of CO_2, but I think it is

ID: 545918 • Letter: N

Question

Not sure if K_1[NO_2]^2 is correct for the production of CO_2, but I think it is the rate law for it. Can anyone do the steps to outline where I have gone wrong? I get another weird answer by using steady state conditions in a different method.

No,(g) + CO(g) co,(g) + NO(g) is suggested to be (1) 2NO2(g) NO,(g) + NO(g) k. (2) No,(g) + CO(g) NO2(g) + CO2(g) Assuming that [NO3l is governed by steady-state conditions, derive the rate law for the production of CO2(g) and enter it in the space below. rate of cOzg) productions[NO]

Explanation / Answer

There are two step methods

Use the steady-state approximation to derive the rate law.

Production rate of NO3 = k1 [NO2]2

Consumption rate of NO3 = k2 [NO3] [CO]

A steady-state approach makes use of the assumption that the rate of production of an intermediate is equal to the rate of its consumption. Thus, we have

k1 [NO2]2 =  k2 [NO3] [CO]

k2 = k1 [NO2]2 / [NO3] [CO]

rate of production of CO2 depends on NO3 production and consumption.

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