Respuesta :

Radioactivity is the property exhibited by some unstable atoms of

elements in which from their nucleus radiation energy and subatomic

particles are simultaneously emitted.

  • The mass of radium remaining after 3,198 hours is approximately 0.839867 grams.

Reason:

Known parameters:

The number of hours the sample is left, t = 3,198 hours

The given mass of radium, N₀ = 0.840 g

Required:

The mass of the fraction of the 0.840 g sample that remains after 3,198 hours.

Solution;

The half life of radium, [tex]t_{1/2}[/tex] = 1,600 years = 14,025,600 hours

The formula for finding the amount of a radioactive substance is remaining

after a given time, t, is given as follows;

  • [tex]N(t) = N_0 \left (\dfrac{1}{2} \right )^{\dfrac{t}{t_{1/2}}[/tex]

Therefore;

[tex]N(t) = 0.840 \times \left (\dfrac{1}{2} \right )^{\dfrac{3198}{14,025,600}} \approx 0.839867[/tex]

  • The mass of radium remaining, N(t) ≈ 0.839867 g

Learn more about radioactivity here:

https://brainly.com/question/21405756

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