863. Problem 55.9 (RHK) decays by alpha emission with a half-life of . It also decays (rarely) by spontaneous fission, and if the alpha decay did not occur, its half-life due to this process alone would be . (a) We have to find the rate with which spontaneous fission decays occur in 1.00 g of . We have to find the number of alpha-decay events that are there for every spontaneous fission event. |
Solution: Click For PDF Version The half-life of for alpha emission is . The disintegration constant for alpha emission will therefore be . The half-life of for spontaneous fission is . The disintegration constant for spontaneous fission will therefore be . Number of nuclei in 1.00 g of are The rate of spontaneous fissions in 1.00 g of will therefore be Therefore, one spontaneous fission event will take place in The rate of alpha emission in 1.00 g of will be The number of alpha decays that will take place in 1.00 g of pure during the interval when one spontaneous fission occurs will therefore be |