Answer
Please see the work below.
Work Step by Step
We know that if the reaction is asked then
$K_c=\frac{[NO_2]^2[O_2]^{\frac{1}{2}}}{N_2O_5}$
and if the reaction is reversed then
$K_c=\frac{[N_2O_5]}{[NO_2]^2[O_2]^{\frac{1}{2}}}$
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