A radio active material is reduced to 
of its original amount in 3 days. If 8 x 10 -3 kg of the material is left after 5 days the initial amount of the material is
Text Solution
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The initial and final amount of the radioactive substance are related by the formula
…(i)
where, n is the number of half lives.
Substitute 
for 
into equation (i) and solve to calculate the value of n.
The half-life of the radioactive element can be calculated as follows:
=n ...(ii)
Substitute the values of the known parameters into equation (ii) and solve to calculate the half-life.
= 1 day
The initial and the final mass of the radioactive element are related by
…(iii)
Substitute the values of the known parameters into equation (iii) and solve to calculate the initial mass of the substance.
= 2 5 x 8 x 10 -3 kg
= 256 g
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