Radioactive disintegration is a first order reaction and its rate depends only upon the nature
Channel: Doubtnut
Date: 19/04/2020

Radioactive disintegration is a first order reaction and its rate depends only upon the nature of nucleus and does not depend upon external factors like temperature and pressure. The rate of radioactive disintegration (Activity) is represented as`-(dN)/(dt)=lambdaN` Where `lambda=` decay constant, N= number of nuclei at time t, `N_(0)` =intial no. of nuclei. The above equation after integration can be represented as`lambda=(2.303)/(t)log((N_(0))/(N))`  Half-life period of `U^(2.5xx10^(5)` years. In how much thime will the amount of `U^(237)` remaining be only `25%` of the original amount ?