A certain radioactive substance has a half-life of 12 days.

Selena Cowan

Selena Cowan

Answered question

2022-01-29

A certain radioactive substance has a half-life of 12 days. This means that every 12 days, half of the original amount of the substance decays. If there are 128 milligrams of the radioactive substance today, how many milligrams will be left after 48 days?

Answer & Explanation

Palandriy0

Palandriy0

Beginner2022-01-30Added 14 answers

The exponential decay formula is N(t)=Aekt , A = Initial amount, k = Rate of decay, t = Time 
A = 128 ; t = 48 ; Half-life = 12 
A2=Aek(12) 
e12k=0.5 
12k = ln (0.5) 
k=ln(0.5)12 
k = - 0.06 
N(t)=128×e(0.06)48 
N(t) = 7.185 
7.185 milligrams of radioactive substance will be left after 48 days.

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