TL;DR Summary: cannot find out error in solution proposed.
[![question with rate laws][1]][1]
Now the rate law for the reaction (i.e reaction rate) can be written as:
$$ R= k[N_2O_5] $$
my main question is, WHAT is this reaction equal to?
what I mean here is, whether
$$k[N_2O_5]= -d[N_2O_5]/dt$$
or is it
$$k[N_2O_5]= -1/2 \frac{d}{dt} [N_2O_5] $$ ?
The latter seems to be more apt, as the reaction rate must be -1/2 (disappearance rate of N2O5), which adheres to the stoichiometry of the...