Question

Calculate 1 atom per second to year

Answer 1

$\huge\bold\blue{Answer}$

Let the mass of

14

C atoms be mg.

Number of atoms in mg of

14

C=

14

m

×6.02×10

23

λ=

half life

0.693

=

5720×365×24×60×60

0.693

=3.84×10

−12

sec

−1

We know that, −

dt

dN

=λN

i.e., Rate of disintegration =λ× number of atoms

3.7×10

7

=

5720×365×24×60×60

0.693

×

14

m

×6.02×10

23

3.7×10

7

=

14

3.84×10

−12

×m×6.02×10

23

m=2.24×10

−4

g