Radium has a half-life of 1,620 years. In how many years will a 1 kg sample of radium decay and reduce to 0.125 kg of radium?


1,620 years


3,240 years


4,860 years


6,480 years

Verified Answer :

your answer would be C because after 0 half lives 1 kg
after 1 half life 0.5 kg
after 2 half lives 0.25 kg
after 3 half lives 0.125 kg

so that is three half lives , or 3 times 1,620 years = 4860 years


hope i helped

Using the formula:
elapsed time = half life log (beginning amount / ending amount) / log 2
                     = 1620
log(1/0.125)/log2
                     =1436/0.30
                      =4786.66

So the closest answer would be 4860 Years