Answer:
251449 years
Step-by-step explanation:
We can obtain the age of the sample by using the formula;
t1/2 = t ln2/ln(No/Nt)
Where;
t1/2 = half life = 50,000 years
t= elapsed time = the unknown
No = amount of radioactive material originally present
Nt= amount of radioactive material after time (t)
Note;
Since Nt/ No = 1/32
Then No/Nt= 32/1
Substituting values
t= t1/2 ln(No/Nt)/ln 2
t= 50000 × ln(32/1)/ln 2
t= 50000 × 3.47/0.69
t= 251449 years