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21 January, 20:54

The decay constant of a radioactive nuclide is 4.6 x 10^-3 s^-1. What is the half-life of the nuclide?

2.5 min

2.0 min

1.4 min

3.6 min

3.1 min

+3
Answers (1)
  1. 21 January, 20:58
    0
    2.5s

    Explanation:

    Given parameters:

    Decay constant of the nuclide = 4.6 x 10⁻³s⁻¹

    Unkown:

    Half life = ?

    The half life is the time take for half of the radioactive nuclei to disintegrate. It is mathematically expressed as:

    Half life = 0.693/λ

    Where λ is the decay constant

    Since we have been given λ we plug it into the equation:

    Half life = 0.693/4.6 x 10⁻³

    Half life = 0.693/0.0046

    Half life = 150. 65s

    Now we convert to minutes because the options are in minutes:

    60s = 1 minute

    150.65s = 150.65/60 = 2.5s

    The half life of the nuclide is 2.5s
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