Solution:- (A) In beta decay, atomic number increases by one unit where as the m

Question

Solution:- (A) In beta decay, atomic number increases by one unit where as the mass number remains unchanged.

first step of the equation:-  8O21 -----> -1e0(beta particle) + 9F21   

second step of the equation:- 9F21 ----->   -1e0(beta particle) +  10Ne21

(B) We are asked to calculate the time for the formation of Ne from F. initial mass, [A]0 = 24.0 g and final mass, [A] = 24.0 - 10.0 = 14.0 g

half life = 4.16 s

decay constant, k = 0.693/half life

k = 0.693/4.16 s

k = 0.167 s-1

Radioactive decay follows first order kinetics and from first order kinetics, ln[A] = - kt + ln[A]0

ln[14.0 g] = -(0.167 s-1 x t) + ln[24.0 g]

2.693 = -(0.167 s-1 x t) + 3.178

0.167 s-1 x t = 3.178 - 2.693

0.167 s-1 x t = 0.485

t = 0.485/0.167 s-1

t = 2.90 s

So, it would take 2.90 seconds for the conversion F-21 to Ne-21.

Explanation / Answer

Page 6 of 8 (IV) (8 points) Oxygen-21 undergoes two beta decays and forms a stable element. The half-life of the first decay s 2.25 seconds, and the second decay is 4.16 seconds. (a) Write the balanced nuclear equations for the reaction process. (b) Starting with 24.0 g of fluorine-21, calculate the time required to produce 10.0 g of the neon-21.

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