MTALHAHASSAN2
  • MTALHAHASSAN2
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
Physics
jamiebookeater
  • jamiebookeater
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MTALHAHASSAN2
  • MTALHAHASSAN2
MTALHAHASSAN2
  • MTALHAHASSAN2
MTALHAHASSAN2
  • MTALHAHASSAN2
Can someone please help me with it

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MTALHAHASSAN2
  • MTALHAHASSAN2
Plz
Astrophysics
  • Astrophysics
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 \[T^{1/2} = \text{half life}\] \[t =\text{ time}\] \[m_f = \text{final mass}\] \[m_i = \text{initial mass}\]
Astrophysics
  • Astrophysics
So let me ask you, what are we solving for here?
MTALHAHASSAN2
  • MTALHAHASSAN2
Final mass
Astrophysics
  • Astrophysics
Right!
Astrophysics
  • Astrophysics
So our formula then becomes \[\huge m_f = m_i \left( \frac{ 1 }{ 2 } \right)^{\frac{ t }{ T^{\frac{ 1 }{ 2 }} }}\] right?
Astrophysics
  • Astrophysics
Now at this stage, you just need to plug in the values
Astrophysics
  • Astrophysics
and evaluate
MTALHAHASSAN2
  • MTALHAHASSAN2
So what u get
Astrophysics
  • Astrophysics
I think you can at least do that much.
MTALHAHASSAN2
  • MTALHAHASSAN2
Wait what we put for T 1/2
Astrophysics
  • Astrophysics
Don't let the 1/2 confuse you, I put it there to represent half life, that is 12.35 years
MTALHAHASSAN2
  • MTALHAHASSAN2
Oh ok
MTALHAHASSAN2
  • MTALHAHASSAN2
I am getting a very big number
Astrophysics
  • Astrophysics
\[\huge m_f = (100MG)(1/2)^{\frac{ 5.0 }{ 12.35 }}\]
MTALHAHASSAN2
  • MTALHAHASSAN2
Know I get 76
Astrophysics
  • Astrophysics
Yup :)
MTALHAHASSAN2
  • MTALHAHASSAN2
Thnx alot
Astrophysics
  • Astrophysics
Np

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