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7nadin3 [17]
2 years ago
10

lodine-131 is a radioactive isotope with a half-life of 8 days. How many grams of a 50 g sample will be left after 48 days?

Chemistry
1 answer:
RSB [31]2 years ago
4 0

Answer:

0.805 or 0.781 depending on the method used.

Explanation:

<u>Data</u><u> </u><u>provided</u>

half life ie t1/2= 8days.

No= 50g

t=48days

Nt=?

<u>Metho</u><u>d</u><u> </u><u>1</u>

<u>Formul</u><u>a</u><u>:</u><u> </u><u>N</u><u>t=</u><u> </u><u>No</u><u>(</u><u>1</u><u>/</u><u>2</u><u>)</u><u>^</u><u>n</u>

where n= number of half lives.

= t/t1/2 = 48/8

=6.

thus Nt= 50(1/2)^6= 0.781

<u>Metho</u><u>d</u><u> </u><u>2</u>

<u>Formul</u><u>a</u><u>:</u><u> </u><u>Nt</u><u>=</u><u> </u><u>Noe^-</u><u>(</u><u>lambda</u><u>)</u><u>t</u>

where lambda= decay constant

= ln2/ t1/2= ln2/ 8 = 0.086.

thus Nt= 50e^-(0.086×48)= 0.805.

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