Strontium−90 is one of the products of the fission of uranium−235. this strontium isotope is radioactive, with a half-life of 28.1 yr. calculate how long (in yr) it will take for 1.00 g of the isotope to be reduced to 0.600 g by decay.

Answer : The time passed in years is 20.7 years.

Explanation :

Half-life = 28.1 years

First we have to calculate the rate constant, we use the formula :

Now we have to calculate the time passed.

Expression for rate law for first order kinetics is given by:

where,

k = rate constant  =

t = time passed by the sample  = ?

a = initial amount of the reactant  = 1.00 g

a - x = amount left after decay process = 0.600 g

Now put all the given values in above equation, we get

Therefore, the time passed in years is 20.7 years.

wavelength divides in half and speed stays the same.