At 373 K, the half-life period for the thermal decomposition of `"N"_(2)"O"_(5)` is 4.6 sec and is independent of the initial pressure of `"N"_(2)"O"_(5)`. Calculate the specific rate constant at this temperature.

Explanation

Since the half life period is independent of the intial pressure, this shows that the reaction is of the first order.
For a reaction of the first order, we know that `t_(1//2)=(0.693)/(k)" or "k=(0.693)/(t_(1//2))=(0.693)/(4.6s)=0.1507s^(-1)`