If a original sample of radioactive uranium-238 had a mass of 400 grams,what is the total amount of the uranium-238 sample that would be left after 9 billion years?

Respuesta :

Since the half-life is 4.5 billion years, two half-lives would have elapsed after 9 billion years. 
If you start with 400 g, half decays during the first half-life, leaving 200 g. 
During the second half-life, half of the 200 g decays, leaving 100 g.

The half-life period of uranium-238 is about 4.5 billion years.

Two half-life period of Uranium-238 would have completed in 9 billion years.

Original sample of Uranium-238 had a mass of 400g

Half of the uranium-238 would have disintegrated in the first half-life period

i.e., leaving 200g behind.

During the second half-life period, the 200g of uranium-238 would have disintegrated to 100g leaving 100g of sample behind.

Hence,100g of Uranium-238 would be left after 9 billion years.

What is Half-life?

Half-life is "the time required for half of the atoms of a radioactive substance to become disintegrated".

What is Uranium-238?

Uranium-238  is a naturally occuring isotope of uranium.

To learn more about Half-life here

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