How long would it take for a sample of 222 Rn that weighs 0.750 grams to decay to 0.0469 grams, assuming the half-life of 222 Rn is 3.82 day

Formula we will be using:

(i) ,

where

Final quantity

Initial quantity

t=time ( same unit as that of half-life)

n=half-life

Given,

Final quantity ==0.100g

Initial quantity==0.750g

Time= t(unknown)

Half-life=n=3.823 days

Plug in the above values in the formula:

Divide both sides by 0.750:

Taking natural long on both sides:

Applying

Dividing both sides by ln(0.5):

Multiplying both sides by 3.823:

11.113=t

t=11.113

It would take 11.113 days

Answer : 11.113 days

Explanation:

thats how its supposed to be