21283 Bi can disintegrate either by emitting an α -particle or
by emitting a β− -particle. (a) Write the two equations showing the products of the decays. (b) The probabilities of disintegration by α - and β -decays are in the ratio 713. The overall half-life of 212 Bi is one hour. If 1 g of pure 212 Bi is taken at 12.00 noon, what will be the composition of this sample at 1 p.m. the same day?
21283Bi→28991T1+24He(α)
21283Bi→28964Bi+24P0+e
t12 = 1 h, Time elapsed = 1 h
At t = 0, 212BiPresent = 1 g
∴ At t = 1, 212 BiPresent = 0.5 g
Probability α -decay and β -decay are in ratio 713
∴Tremained = 0.175 g
∴P0 remained = 0.325 g.