Respuesta :

1/2 * 10 = 5 kg is left after 1600 years

after 2 more periods of 1600 years  amount left = 5 * 1/2 * 1/2  =  5/4 kgs

Answer:-    after 4800 years there is 1.25 kgs left 
boffeemadrid

The amount of isotope remaining is required.

The amount of isotope that remains would be 1.25 kg

[tex]N_0[/tex] = Initial amount of isotope = 10 kg

[tex]t_{1/2}[/tex] = Half-life = 1600 years

t = Time = 4800 years

Radioactive decay is given by

[tex]N=N_0e^{-\dfrac{\ln 2}{t_{1/2}}t}\\\Rightarrow N=10\times e^{-\dfrac{\ln 2}{1600}\times 4800}\\\Rightarrow N=1.25\ \text{kg}[/tex]

The amount of isotope that remains would be 1.25 kg

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