184k views
5 votes
The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain after 2000 years? ---------

User Jahir
by
7.9k points

1 Answer

2 votes

Answer:

data given

half life of Ra is 1590 years

time for decay is 2000 years

initial amount 300mg

Required final amount

Explanation:

from

nt/no=(1/2)^(t/t1/2)

where

nt is final amount

no is initial amount

t is time for decay

t1/2 is half life

now,

nt/300=(1/2)^(2000/1590)

nt/300=(1/2)^1.26

nt/300=0.42

nt= 0.42×300

nt=126mg

: .it will remain 126gm

User Zmirc
by
8.2k points