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If you have a 4.00 mg sample of a radionuclide known as Q-234, calculate the mass...

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Chemistry

If you have a 4.00 mg sample of a radionuclide known as Q-234,calculate the mass that will remain after 5.00 years given that thehalf life of Q-234 is 2.5 years.

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4.1 Ratings (757 Votes)

Ao = At x 2n                  - equation 1

Where,

            Ao = Initial amount                                 = 4.0 mg (given)

            At = Amount remaining at time t           = ?      

            n = number of half-lives

Number of half-lives, n = total time elapsed / half-life period = 5.0 years / 2.5 years = 2

Putting the values in equation 1-

4.0 mg = At x 22

Or, At = 4.0 mg / 4 = 1.0 mg

Hence, the amount of Q-234 remaining after 5.0 years = 1.0 mg
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