Astudent in greece discovers a pottery bowl that contains 48% of its original amount of c-14. find the age of the pottery of bowl to the nearest year.

7340 years

Step-by-step explanation:

A student in Greece discovers a pottery bowl that contains 48% of the original C-14.

Decay of C - 14 is represented by the expression given

N =

where, = initial quantity of C-14 = 100% = 1

N = quantity of C-14 after t years = 48% = 0.48

k = 0.0001

and t = time in years.

We have to find the age of the bowl.

0.48 =  

By taking natural logarithm

ln ( 0.48 ) = ln

-0.73397 = -0.0001t  [ since ln e = 1 ]

t =

t = 7340 years

Age of the pottery of bowl is 7340 years.