It will take 25 days for this substance to become 1gram from 32 grams.
Step-by-step explanation:
Radioactivity or radioactive decay is the process of formation of different element from one Radioactive element due to decay of the radioactive nucleus. The radioactive decay is a first order kinetic reaction. This reaction has a straight log C vs T graph.
Here in this particular reaction, the half life of the radioactive substance is 5 days. So within 5 days, the concentration of the substance becomes halved.
Now, in the sample the amount of substance present = 32 grams
The final amount of this sample = 1 grams.
So number of half lives needed for this decay = 5 half lives.
So number of days required for this decay =
=25.
So within 25 days, 32 grams of the substance becomes 1grams.