1. Write balanced equations for each of the following processes.
a. Chromium- 51, which targets the spleen and is used as a tracer in studies of red blood cells, decays by electron capture.
b. Iodine-131, used to treat hyperactive thyroid glands, decays by producing a beta particle.
2. In each of the following nuclear reactions, supply the missing particle?
a. ^60Co -> ^60Ni + ?
b. ^97Tc + ? -> ^97Mo
c. ^99Tc -> ^99Ru + ?
d. ^239Pu -> ^235U + ?
3. A chemist wishing to do an experiment requiring 47Ca (half life = 4.5 days) needs 5.0ìg of the
nuclide. What mass of 47Ca must be ordered if it takes 48 h for delivery from the supplier? Assume that the atomic mass of ^47Ca iis 47.0
4. What is the ratio of ^209Pb/^238U by mass in a rock that is 4.5x10^9 years old? (For 238 U, t1/2= 4.5x10^9 years)
Please show me how you get the answers.
2 answers
The subscripts must add up.
The superscripts must add up.
The element is determined by the atomic number. Example of what I mean.
I know the atomic number is supposed to go on the left hand side as a subscript and that can be done easily. The mass number is supposed to go on the left of the element symbol as a superscript which can't be done on these boards; therefore, I will write it as a superscript but on the right hand side of the symbol for the element.
26Cr51 + EC (electron capture)==> 23V51
Note that 23 subscript adds to the same on both sides, 51 as a superscript adds to the same on both sides. This is a different kind of decay but it works this way. An electron from the K shell drops into the nucleus. The Cr-51 nucleus has 24 protons(+ charge) and 27 neutrons (note 24 + 27 = 51.....I know Cr has 24 protons because the atomic number is 24 and I know it has 27 neutrons because 51(from the problem) - 24 = 27). So when the electron drops in, we now have 24+, 1-(from the electron) and 27 N(zero charge). One proton combines with the electron to make a neutron so we now have 23 protons and 28 neutrons. The symbol for 23 protons is V and it still has a mass number of 51 (23+28=51).
Another:
27Co60 ==> 28Ni60 + ?
Now you add up both sides. ? must have a subscript of -1 (because we have 27 on the left and 28 on the right and 28+(-1) = 27). What mass must it have. We have 60 on the left and 60 on the right; therefore, the mass number must be 0. What is it that has a charge of -1 and mass of zero? That must be an electron. So we would write ? as
-1eo
For the decay problems use
k = 0.693/t1/2 and
ln(No/N) = kt
That combination will work most decay problem involving half life and time.
Post your work if you get stuck. Or ask a particular question if there is something here you don't understand.