Showing posts with label Bananas. Show all posts
Showing posts with label Bananas. Show all posts

Friday, December 20, 2013

Radioactive Banana! Peeling Away the Mystery





Radioactive Banana! Peeling Away the Mystery

All bananas contain potassium (element K). All potassium contains 93+ % Potassium 39, stable potassium, and a little bit of the isotope Potassium 41, perhaps 6+ %. But, all potassium also contains a tiny fraction of the radioactive isotope of potassium, Potassium 40 (K40).

Potassium 40 undergoes three forms of decay, beta -, rarely beta+, and electron capture. The last step emits a gamma ray with an energy of 1461 keV. It is this gamma ray that I detected.

My calculations for the typical radioactivity of a banana:

The number of Potassium (K) atoms per gram of potassium:
(Avogadro's Number / Atomic Weight of K40) = 6.022 x10^23 / 39 = 1.544 × 10^22 K Atoms/gram

The amount of Potassium in a Banana (approx):
grams of Potassium in a banana = 0.442 grams

Natural abundance of K40 per normal Potassium (A): 0.000117

Half life of Potassium: 3.9357×10^16 seconds (T 1/2).

Calculation:
((Avogadro's Number) / (Atomic weight)) x (0.442 g) x (A) x (ln 2) / (T1/2)
(((6.022*10^23 / 39)*0.442) x 0.000117) x ln2 / (3.9357×10^16)
=14.0633 decays per second per banana
= 14.0633 Bq Banana^-1
=lol



Practical Gamma Spectroscopy Links

For $350 USD - $500 USD
http://beeresearch.com.au/ - Quality and inexpensive MCA
http://www.physics.usyd.edu.au/~marek/pra/index.html - - PRA software for viewing peaks.

You can often find a good scintillation probe on eBay for a few hundred dollars (USD), but you have to shop for it.

$4,000-$5,000 USD
http://spectrumtechniques.com/ucs30_system.htm - Entry lab-grade setup.



Some potassium and banana sites!!!

http://www.orau.org/ptp/collection/consumer%20products/potassiumgeneralinfo.htm
http://en.wikipedia.org/wiki/Banana_equivalent_dose

http://www.chiquitabananas.com/Worlds-Favorite-Fruit/bananas-and-potassium.aspx