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12 Nov 2021

Given information

Half life, billion years

Percent of atoms decay  

Name of element =   

Initially contained atoms.

Time it would take to decay of atoms = ?

 

 

Step-by-step explanation

Step 1.

Let the total percent of atoms be

Percent of atoms decay 

Percent of atoms remain  

Therefore, 

 

where, remaining atoms

          initial atoms

 

The half-life is independent of initial concentration shows the reaction is first order. For the first-order reaction, the half-life for first-order reaction is given by the formula,

 

Substitute the value in the above equation,

 

   

 

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