U-238 which has a long half-life is also find the ages of geological formations (rocks). Meanwhile I-131, which has much shorter half-life, is used for diagnosing thyroid disorders. What is the mass of an original 5.6 gram sample of I-131 that is still radioactive after 16.042 days?

The mass after 16.042 days : 1.4 g

Given

mass of 5.6 gram sample of I-131

time=16.042 days

Required

The mass of a sample

Solution

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  

Half-life of I-131 = 8 days

Input the value :

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