#5 chemistry a schoology 2025\nhalf - life is the amount of mass it takes for half of the radioactive nuclei…

#5 chemistry a schoology 2025\nhalf - life is the amount of mass it takes for half of the radioactive nuclei in a sample to decay.\nafter one half - life, 50% of the original will remain.\nafter two half - lives, 25% of the original will remain.\nafter three half - lives, 12.5% of the original will remain.\npossible points: 5

#5 chemistry a schoology 2025\nhalf - life is the amount of mass it takes for half of the radioactive nuclei in a sample to decay.\nafter one half - life, 50% of the original will remain.\nafter two half - lives, 25% of the original will remain.\nafter three half - lives, 12.5% of the original will remain.\npossible points: 5

Answer

Explanation:

Step1: Define half - life concept

Half - life is the time for half of radioactive nuclei to decay.

Step2: Calculate remaining amount after one half - life

If we start with 100% of the original amount, after one half - life, the remaining amount is $100%\times\frac{1}{2}=50%$.

Step3: Calculate remaining amount after two half - lives

After two half - lives, the remaining amount is $50%\times\frac{1}{2}=25%$.

Step4: Calculate remaining amount after three half - lives

After three half - lives, the remaining amount is $25%\times\frac{1}{2}=12.5%$.

Answer:

After one half - life, 50% of the original will remain. After two half - lives, 25% of the original will remain. After three half - lives, 12.5% of the original will remain.