If the drug dissolves at a 10% per hour then it will take 131 hours to reach to1 gm because it forms a geometric progression.
What is a geometric progression?
It is a type of sequence in which there is a common ratio.
How to find time?
The dissolution of drug forms a geometric progression where first term is 5 gm and the common ratio is 0.99 and we have to find the value of n for nth term=1 gm
an th term=[tex]ar^{n-1}[/tex]
1=5[tex]0.99^{n-1}[/tex]
0.2=[tex]0.99^{n-1}[/tex]
finding the value of power off 0.99 we found it will be equal to 130 then the value of n will be 130+1=131 hours
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