Nitrogen-13, with a half-life of 10.0 min, decays by beta emission. Nitrogen-13,
ID: 993974 • Letter: N
Question
Nitrogen-13, with a half-life of 10.0 min, decays by beta emission.
Nitrogen-13, with a half-life of 10.0 min, decays by beta emission, (a) Write down the decay equation to determine the daughter product and whether the beta particle is a positron or electron, (b) If a sample of pure^13N has a mass of 1.50 g at a certain time, what is the activity 35.0 min later? (c) What percentage of the sample is^13N at this time? (d) What alternative process could have happened to the nitrogen-13? Write down its decay equation and determine the daughter product for this process.Explanation / Answer
(a)
The decay equation:
7N 13 ---- > x+ +1 e0
Assume the daughter nuclei X
Atomic mass of X =
13= A+0
A=13
Atomic number =
7= Z+1
Z=6 thus the reaction is as follows:
13N --> 13C + +1 e0
Daughter nuclei is C-13.
(b)
A = Aoe. - t.
First calculate the decay constant : 0.693/ t1/2
= 0.693/10.0 min
= 0.0693 /min
A = Aoe. - t.
A = 1.35e. – 35.00 min*0.0693 /min
A = 1.35 e^-2.4255
A= 0.1159 g
(c)
0.1159/1.35*100=8.586 %
(d)
N-13 --> O-13 +
Assume the product nuclei X
Atomic mass of X =
13= A+0
A=13
Atomic number =
7= Z-1
Z=8 thus the reaction is as follows:
13N --> 13O +
Daughter nuclei is O-13.
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