The unit of the rate constant k is mol−1 L s−1.
The general unit of the rate constant for an n-th order reaction is (mol L−1)1−n s−1.
Equating the powers of the concentration units, we get 1−n=−1⇒n=2.
Thus, the reaction is a second-order reaction. Statement B is correct.
For a second-order reaction, Rate =k[X]2. When the concentration of X is increased to 4 times, the new rate is k(4[X])2=16k[X]2, which is 16 times the original rate. Statement A is correct.
The half-life of a second-order reaction is t1/2=k[X]01, which depends inversely on the initial concentration. Statement C is incorrect.
The decomposition of N2O5 is a well-known first-order reaction. Statement D is incorrect.
The equation ln[R][Ro]=kt represents the integrated rate law for a first-order reaction, not a second-order reaction. Statement E is incorrect.
Therefore, only statements A and B are correct.
Answer: A and B Only