Phosphorus-32 has a half life of 14.3 days. How many days will it take for a radioactive sample to decay to one-eighth its original size?

It will take 42.9 days

General formulas used in decay:  

T = duration of decay  

t 1/2 = half-life  

N₀ = the number of initial radioactive atoms  

Nt = the number of radioactive atoms left after decaying during T time  

t1/2=14.3 days

Nt/No=1/8

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