110k views
3 votes
A radioactive isotope has a half-life of ten days. How much of a 100-gram sample will be left after 20 days?

A) 12.5 grams
B) 25.0 grams
C) 50.0 grams
D) 100.0 grams

User Mitomed
by
6.3k points

2 Answers

5 votes
The radioactive isotope is 25.0 grams
User Mehran
by
6.0k points
4 votes

Option (b) is correct.

Step-by-step explanation:

we know that


N= N_o ((1)/(2))^(n)

No= initial mass of substance

N= present mass of substance

n= number of half life times

n= total time/half life time

n=20/10

n=2

so
N= 100 ((1)/(2))^2

N= 100/4

N=25 grams

User William Brawner
by
5.1k points