The radioactive element americium-241 has a half-life of 432 years. how many years will it take a 10 gram mass of americium-241 to decay to 2.7 grams.

This problem can be solved using the Radioactive Half Life Formula:

  (1)

Where:

is the final amount of the material

is the initial amount of the material

is the time elapsed  (the quantity we are asked to find)

is the half life of americium-241

Knowing this, let's find from (1):

Applying natural logarithm in both sides:

Finally:

y > 1/3x

y < = -x + 4

hope this : )