Question 1070350
What is the Half life of carbon if it takes 11,400 years to decay to 25% of its original mass?
:
Let initial amt = 1
then
.75 = the amt after 11400 yrs
:
let h = the half life of the substance
:
1*2^(-11400/h) = .25
{{{-11400/h}}}*ln(2) = ln(.25)
{{{-11400/h}}} = {{{ln(2)/ln(.25)}}}
{{{-11400/h}}} = -.5
h = 11400 * .5
h = 5700 years is the half life