A radioactive isotope decays as: ._(Z)^(M)A to ._(Z - 2)^(M - 4)B to ._(Z - 1)^(M - 4)C The half lives of A and B are 6 and 10 months respectively. Assuming that initially only A was precent, will it be possible to achieve the radioactive equilibrium for B ? If So, what would be the ratio of A and B at equilibrium? What would happen if the half lives of A and B were 10 and 6 months respectively?

A radioactive isotope decays as: ._(Z)^(M)A to ._(Z - 2)^(M - 4)B to

1.	A radioactive isotope decays as: ._(Z)^(M)A to ._(Z - 2)^(M - 4)B to ._(Z - 1)^(M - 4)C The half lives of A and B are 6 and 10 months respectively. Assuming that initially only A was precent, will it be possible to achieve the radioactive equilibrium for B ? If So, what would be the ratio of A and B at equilibrium? What would happen if the half lives of A and B were 10 and 6 months respectively?
Answer» Solution :At equilibrium RATIO of amounts of A and B will be `(N_(A))/(N_(B)) = (t_(1//2)A)/(t_(1//2)B) = (6)/(10) = 0.6` If the half live of A and B are 10 and 6 MONTS RESPECTIVELY, then B will decay faster than 'A' , hence equilibrium will not be ACHIEVED.