Spontaneous fission rate to half-life equivalence

AI Thread Summary
The discussion focuses on calculating the half-life of spontaneous fission for U-238 based on its fission rate of 1 fission per gram per 100 seconds. The user seeks guidance on determining the number of U-238 atoms in one gram and how to calculate the time required for half of them to decay. The problem is identified as a unit conversion challenge, and the user expresses a sense of overcomplication in their approach. The conversation emphasizes the need for clarity in the steps to solve the problem. Overall, the goal is to demonstrate that the spontaneous fission rate corresponds to a half-life of approximately 5.5 x 10^15 years.
clynne21
Messages
9
Reaction score
0

Homework Statement



The spontaneous fission rate for U-238 is roughly 1 fission per gram per 100 seconds. Show that this rate is the equivalent to a half-life for spontaneous fission of ~5.5x1015 years

Homework Equations


none that I can find in my book


The Attempt at a Solution


I'm thinking this is just basically a conversion of units problem, but want to check that with someone else. Not entirely sure where I would start so any help would be appreciated.
 
Physics news on Phys.org
1. How many U-238 atoms are there in 1 gram?
2. If one of them decays every 100 seconds, how long will you have to wait until half of them have decayed?
 
thank you- knew it had to be fairly simple- just overthinking it!
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top