Showing posts with label second order reaction. Show all posts
Showing posts with label second order reaction. Show all posts

Show that the half-life of a second order reaction is inversely proportional to its initial concentration.

For the simple second order reaction 2A→product, we know the rate constant is given by,


For half life,  and 

Hence,




as k is a constant,


Derive an expression for the rate constant of 2nd reaction of the type, 2A→product.

2A → Product
initial concentration : a molL-1                       →                              0
final concentration (t=t) : (a-x) molL-1             →                  x molL-1



Integrating,