If the halflife of C14 is 5730 years how old are the dead se

If the half-life of C-14 is 5730 years, how old are the dead sea scrolls?

Questions for review 1. The age of the Dead Sea scrolls was determined based on carbon-14 dating. The \"amount\" of carbon- 14 in living organisms is expressed as 15.3 disintegrations per minute per gram of carbon (15.3 dpm). The \"amount\" of carbon-14 in the scrolls was determined to be 12.0 dpm. If the half-life of C-14 is 5730 years, how old are the dead sea scrolls?

Solution

For a first order reaction rate constant , k = ( 2.303 /t )x log ( Mo / M)
Where
Mo = initial activity= 15.3 dpm
M= activity at time t = 12.0 dpm
t = time=?

K= rate constant= 0.693/ half-life= 0.693/5730 yr=1.21*10^-4 yr^-1

Plug the values we get t = 2008 ys