Question

It is found that after 24!hours 1/8 of the mass of a sample of a radio-active isotope remains What is the half-life of this isotope?

Answer 1

Answer:7.72 years

Nuclear half-life expresses the time required for half of a sample to undergo radioactive decay.

Step-by-step explanation:

0.01 = 67.0 ×
`((1)/(2)) ^{\frac{98.0} {1/2 } }`
`(0.01)/(67.0)` = 0.000149=
`((1)/(2)) ^{\frac{98.0} {1/2 } }`

`^{\frac{98.0} {1/2 } }` =log
`_(0.5)` (0.000149)=12.7

`^{\frac{98.0} {1/2 } }`=7.72 years

Hope this helps have a great day/afternoon :)