A proposed free radical mechanism for the pyrolysis of ethyl nitrate, $C_2{H}_{5}ON{O}_2(A),$

to formaldehyde, $C{H}_{2}O(B),$ and methyl nitrite, $C{H}_{3}N{O}_2(D),$ is as follows:

$Aki{C}_2{H}_5{O}^{**}+N{O}_2$

$C_2{H}_5{O}^{**}{k}_{3}C{H}_3^{+}+B$

$C{H}_3^{**}+A{k}_{3}D+C_2{H}_5{O}^{**}$

$2C_2{H}_5{O}^{**}{k}_{4}C{H}_3$CHO$+C_2{H}_{5}OH$

a$)$ Determine the rate expression for the formation of formaldehyde.

b$)$ The results reported in the same investigation from experiments carried out in a

CSTR at $250C$ are given in the following table. Are the data consistent with the rate

expression you developed in part $($a$)?$

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