The concentration of rn−222 in the basement of a house is 1.45 × 10−6 mol/l. assume the air remains static and calculate the concentration of the radon after 3.00 days. the half-life of rn−222 is 3.82 days.

The concentration of radon after the given time is

Explanation:

All the radioactive reactions follows first order kinetics.

The equation used to calculate half life for first order kinetics:

We are given:

Putting values in above equation, we get:

Rate law expression for first order kinetics is given by the equation:

where,  

k = rate constant =

t = time taken for decay process = 3.00 days

= initial amount of the reactant =

[A] = amount left after decay process =  ?

Putting values in above equation, we get:

Hence, the concentration of radon after the given time is

it is the most commonly accepted one