Answer
(a) 213Bi ⇾ 209Po + 4He ⇾ 209Pb + e- + υe
(b) 205Tl ⇾205Pb + e- + υe ⇾ 209Pb + 4He2
Work Step by Step
The grandparent nucleus of lead-209 could be either bismuth-213 or thallium-205, depending on the sequential decay process.
(a) For the alpha-beta sequential decay process, the grandparent nucleus is bismuth-213, which undergoes alpha decay to produce polonium-209, which then undergoes beta decay to produce lead-209. The nuclear equation for this process can be written as:
213Bi ⇾ 209Po + 4He ⇾ 209Pb + e- + υe
(b) For the beta-alpha sequential decay process, the grandparent nucleus is thallium-205, which undergoes beta decay to produce lead-205, which then undergoes alpha decay to produce lead-209. The nuclear equation for this process can be written as:
205Tl ⇾205Pb + e- + υe ⇾ 209Pb + 4He2
