Question

The half life of radon is 3.80 days what would be its decay constant?

Answer 1

Hi!
Hope you will be fine :D
Half life formula is,
\[0.5=e ^{k*t}\]
where,
k=decay constant
t=time
substitute time, we get
\[0.5=e ^{k*3.80}\]
taking natural logarithm on both sides, we get,
\[\ln(0.5)=k*3.80\]
or,
\[\ln(0.5)/3.80=k\]
\[k=0.182\](ANSWER)
Regards,
Electronics engineer. *but I ain't good in nuclear physics :D