Acertain radioactive nuclide decays with a disintegration constant of 0.0178 h-1.

(a) calculate the half-life of this nuclide.

what fraction of a sample will remain at the end of (b) 4.44 half-lives and (c) 14.6 days?

Explanation:

Given that,

The disintegration constant of the nuclide,

(a) The half life of this nuclide is given by :

(b) The decay equation of any radioactive nuclide is given by :

Number of remaining sample in 4.44 half lives is :

So,

(c) Number of remaining sample in 14.6 days is :

So,

Hence, this is the required solution.