Electron withdrawing groups (EWGs) are groups that pull electron density towards themselves, making the molecule more electrophilic. The key groups to remember are:
CN (Cyanide): This is a classic electron-withdrawing group (EWG) due to the electronegativity of the nitrogen atom and the triple bond between carbon and nitrogen.
COOH (Carboxyl group): This is another EWG due to the double bond between carbon and oxygen, and the electronegativity of the oxygen atoms.
COOR (Ester group): The ester group is also electron-withdrawing because of the carbonyl (C=O) group, which is highly electronegative.
OCH$_3$ (Methoxy group): The methoxy group, with an oxygen atom bonded to a methyl group, is actually an electron-donating group (EDG), not an EWG, because the lone pairs on oxygen push electron density towards the ring or carbon backbone.
Thus, OCH$_3$ is not an electron-withdrawing group (EWG); instead, it is an electron-donating group (EDG).
The following data were obtained for the reaction: \[ 2NO(g) + O_2(g) \rightarrow 2N_2O(g) \] at different concentrations:
The rate law of this reaction is: