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MTALHAHASSAN2

  • one year ago

Hydrogen-3 has a half-life of 12.35 years. What mass of hydrogen-3 will remain form a 100.0 MG initial sample after 5.0 years? A) 7 MG B) 24 MG C) 76 MG D) 18 MG

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  1. MTALHAHASSAN2
    • one year ago
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    @wio

  2. MTALHAHASSAN2
    • one year ago
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    @souvik

  3. MTALHAHASSAN2
    • one year ago
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    Can someone please help me with it

  4. MTALHAHASSAN2
    • one year ago
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    Plz

  5. Astrophysics
    • one year ago
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    We will have to use the following \[\huge \frac{ m_f }{ m_i } = \left( \frac{ 1 }{ 2 } \right)^{\left( \frac{ t }{ T^{1/2} } \right)}\] where \[T^{1/2} = \text{half life}\] \[t =\text{ time}\] \[m_f = \text{final mass}\] \[m_i = \text{initial mass}\]

  6. Astrophysics
    • one year ago
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    So let me ask you, what are we solving for here?

  7. MTALHAHASSAN2
    • one year ago
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    Final mass

  8. Astrophysics
    • one year ago
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    Right!

  9. Astrophysics
    • one year ago
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    So our formula then becomes \[\huge m_f = m_i \left( \frac{ 1 }{ 2 } \right)^{\frac{ t }{ T^{\frac{ 1 }{ 2 }} }}\] right?

  10. Astrophysics
    • one year ago
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    Now at this stage, you just need to plug in the values

  11. Astrophysics
    • one year ago
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    and evaluate

  12. MTALHAHASSAN2
    • one year ago
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    So what u get

  13. Astrophysics
    • one year ago
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    I think you can at least do that much.

  14. MTALHAHASSAN2
    • one year ago
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    Wait what we put for T 1/2

  15. Astrophysics
    • one year ago
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    Don't let the 1/2 confuse you, I put it there to represent half life, that is 12.35 years

  16. MTALHAHASSAN2
    • one year ago
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    Oh ok

  17. MTALHAHASSAN2
    • one year ago
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    I am getting a very big number

  18. Astrophysics
    • one year ago
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    \[\huge m_f = (100MG)(1/2)^{\frac{ 5.0 }{ 12.35 }}\]

  19. MTALHAHASSAN2
    • one year ago
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    Know I get 76

  20. Astrophysics
    • one year ago
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    Yup :)

  21. MTALHAHASSAN2
    • one year ago
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    Thnx alot

  22. Astrophysics
    • one year ago
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    Np

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