Problem 34

Given information

Half-life = years

Percent of atoms decay    

Name of element =   

Time it would take to decay  of the  atoms = ?

Step-by-step explanation

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,