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Artyom0805 [142]
3 years ago
6

A 160g radioactive sample is left undisturbed for 12.5 hours. At the end of that period, only 5.0g remain. What is the half-life

of this sample? Show work
Chemistry
2 answers:
natulia [17]3 years ago
6 0

Answer:

2.50 h  

Step-by-step explanation:

The <em>half-life</em> of a sample is the time it takes for half of it to decay.  

After one half-life, half (50 %) of the original amount will remain.  

After a second half-life, half of that amount (25 %) will remain, and so on.  

We can construct a table as follows:  

  No. of      Fraction          Mass

<u>half-lives</u>  <u>remaining</u>   <u>Remaining/g </u>

      1                 ½                  80

      2                ¼                  40

      3                ⅛                  20

      4                ¹/₁₆                 10

      5                ¹/₃₂                 5.0

      6                ¹/₆₄                 2.5

We see that 5.0 g remain after <em>five half-lives.</em>

5t_½ = 12.5 h     Divide each side by 5

 t_½ = 2.50 h

The half-life is 2.50 h.

11Alexandr11 [23.1K]3 years ago
3 0

it would be 26 because once you divide 160g by 5.0g and add 12.5 you would get 26

hope this helps

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