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?

Respuesta :

38136

Answer:7.72 years

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

Explanation:

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

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

[tex]^{\frac{98.0} {1/2 } }[/tex]=7.72 years

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