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After 24 hours, only 0.125 g out of the...

After 24 hours, only 0.125 g out of the initial quantity of 1 g of a radioactive isotope remains behind. What is its half-life period ?

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Here, we are given `a = 1 g, a-x=0.125g, t=24" hours"`
`k=(2.303)/(t)log""(a)/(a-x)=(2.303)/(24" hr")log""(1)/(0.125)=0.0866" hr"^(-1),t_(1//2)=(0.693)/(k)=(0.693)/(0.0866" hr"^(-1))=8.0" hours"`
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