Step 1: Rate of disappearance of NO\(_2\).
For the given reversible reaction, the rate of disappearance of \( NO_2 \) is related to the concentration of \( NO_2 \).
Step 2: Conclusion.
Thus, the rate of disappearance of \( NO_2 \) is \( 2k_1 [NO_2]^2 \).
Final Answer:
\[
\boxed{2k_1 [NO_2]^2}
\]