HELP PLEASE! Can you please answer these questions with detailed steps. I am con
ID: 692651 • Letter: H
Question
HELP PLEASE! Can you please answer these questions with detailed steps. I am confused and really trying to understand this. Thanks!
Salt Name: Wisteria Wonder. Particle Emitted: positron. Half-life: 1.2 x 109 years.
- The Wisteria Wonder was found to contain an element that emitted a positron and argon-40. This bath salt was obtained from a natural mineral and had to be crushed before putting in the tub. Identify this element and write the nuclear reaction.
- A sample of the Wisteria Wonder bath salt was sent away for analysis. The half-life of the salt is 1.2 x 109 years. Determine the initial activity of the salt if it was bought new in 1910, given the activity presently to be 5 x 10-3 dmp. Comment on the magnitude of your answer.
Explanation / Answer
equation : 40-K19 ----> 40-Ar18 + positron(0e+1)
element = K(potasium)
k = 0.693/(1.2*10^19) = 5.775*10^-20 y-1
k = (1/t)ln(a/x)
t = 2017-1910 = 107 years
(5.775*10^-20) = (1/107)ln(a/(5*10^-3))
a = initial activity of the salt = 5*10^-3 dmp
there is no signicant change in activity.
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