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21 February, 09:45

A radioactive element of mass 20.0g was isolated and stored. It was discovered after 40days that 2.5g of the element remained undecayed. Calculate the half life of the element.

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  1. 21 February, 13:29
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    Half life = 13.3 days

    Explanation:

    Given dа ta:

    Mass of element = 20.0 g

    After 40 days a mass left = 2.5 g

    Half life of element = ?

    Solution:

    At time zero = 20.0 g

    At first half life = 20.0 g/2 = 10.0 g

    At second half life = 10.0/2 = 5.0 g

    At third half life = 5.0 g / 2 = 2.5 g

    Half life:

    Half life = T elapsed / number of half lives

    Half life = 40 days / 3

    Half life = 13.3 days
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