Proton decay

  • Thread starter w3390
  • Start date
  • #1
346
0

Homework Statement



Grand unification theories predict that the proton has a long but finite lifetime. Current experiments based on detecting the decay of protons in water infer that this lifetime is at least 10^32 years. Assume 10^32 years is, in fact, the mean lifetime of the proton. Estimate the expected time between proton decays that occur in the water of a filled Olympic-size swimming pool. An Olympic-size swimming pool is 100m x 25m x 2.0m.

Homework Equations



not sure

The Attempt at a Solution



I am not really sure what the question is asking. Clearly the volume of the pool matters, otherwise it probably wouldn't be given, but I don't know where to start. Can anybody offer an explanation as to where I should start. Any help would be much appreciated.
 

Answers and Replies

  • #2
Matterwave
Science Advisor
Gold Member
3,965
326
The volume of the water will tell you how much water there is (M=pV, and you know the density of water), from there you can tell how many molecules of water there are and therefore how many protons there are. Then you can tell how many protons decay per second using basic radioactive decay laws.
 

Related Threads on Proton decay

Replies
1
Views
376
Replies
5
Views
886
Replies
2
Views
1K
  • Last Post
Replies
14
Views
10K
  • Last Post
Replies
2
Views
11K
Replies
1
Views
747
Replies
0
Views
4K
Replies
15
Views
1K
  • Last Post
Replies
2
Views
1K
Top