1. Identify the radioactive particle that is described in each of the following:
ID: 1006367 • Letter: 1
Question
1. Identify the radioactive particle that is described in each of the following:
a. has the highest energy of all of the naturally occurring radioactive particles
b. has the lowest energy of all of the naturally occurring radioactive particles
c. has a mass of 4
d. has a mass of 0 and a particle charge of 0
e. has a mass of 1 and a particle charge of 0
f. has a mass of 0 and a particle charge of +1
2. A piece of wood from an Egyptian tomb has carbon-14 activity of 980 counts/hour. A piece of new wood of the same size has 3,920 counts/hour. What is the age of the wood from the tomb?
Explanation / Answer
1. Identify the radioactive particle that is described in each of the following:
a. (alpha) particle has the highest energy of all of the naturally occurring radioactive particles.
b. (gamma) particle has the lowest energy of all of the naturally occurring radioactive particles
c. particle has a mass of 4
d. (gamma)particle has a mass of 0 and a particle charge of 0
e. The neutron particle has a mass of 1 and a particle charge of 0
f. (beta) particle has a mass of 0 and a particle charge of +1
2.
A piece of wood from an Egyptian tomb has carbon-14 activity of 980 counts/hour.
A piece of new wood of the same size has 3,920 counts/hour.
The half-life of carbon-14. Is 5730 years.
The integrated rate law for a first order reaction is.
ln([A]/[A]o) = -kt
For radioactive decay, k = 0.693 / half-life.
So, for C-14, k = 0.693/5730 yrs
= 1.21X104 yrs
ln(980/3920) = -(1.21x10-4yrs) xt
t = ln(980/3920) /-1.21X104 yrs
t = -1.386/-1.21X104
t = 11,457 years
The age of the wood from the tomb is 11,457 years
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