If you have 100 grams of a radioactive isotope with a half life of 10 years how much of the isotope will you have left after 10 years

We want to find how much of a radioactive isotope we will have after a given time, given that we know the half life of the isotope.

After 10 years, there will be 50 grams of the isotope.

The half life of a given quantity is defined as the time such that the quantity is reduced ot its half.

So if we initially have a quantity A with a half time T, after the time T our quantity will be A/2.

Now we have 100 g of a radioactive isotope with a half life of 10 years. Then after that time, 10 years, we will have half that mass of isotopes.

This is 100g/2 = 50g

After 10 years we will have 50 grams of isotopes.

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50.0 g.

Explanation:

Thus, the amount of radioactive isotope is 50.0 g.