Answer:44.7 hours.
Step-by-step explanation:
The time taken for the radioactivity of a specified isotope to fall to half its original value is called half life of that radioactive material.
Half life of sodium-24 is
hours.
Initial amount of sodium-24 is
![680g](https://img.qammunity.org/2020/formulas/chemistry/middle-school/no3xkr9xx0oj8p7b4xo9jkpdy98v93qp0a.png)
In
hours,the quantity falls to
![(680)/(2)=340g](https://img.qammunity.org/2020/formulas/chemistry/middle-school/87le8acgfpai39zfi9m3iffnpiknqqfkp1.png)
In another
hours,the quantity falls to
![(340)/(2)=170g](https://img.qammunity.org/2020/formulas/chemistry/middle-school/gw0umno9v8gpoqr2xcj18uc96bhs0xd66w.png)
In another
hours,the quantity falls to
![(170)/(2)=85g](https://img.qammunity.org/2020/formulas/chemistry/middle-school/1xcknpeft5gqe1m82tm0r9nj2oabts85qw.png)
So,it takes
hours for the quantity to become
.