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Dec 28, 2021 at 14:34 comment added DKNguyen @SergeyZolotarev Not really. It's numerically the same.
Dec 28, 2021 at 13:42 comment added Sergey Zolotarev Do you have anything to say about the way your formula was altered?
Dec 22, 2021 at 5:23 comment added DKNguyen @SergeyZolotarev I don't know that in depth. What I described is just the generic equation and definition for half-life irrespective of the specific topic. I don't think organic decomposition is statistical though but the concept of time constants does not need to be statistical nor does it need to be 1/2. For example, RC time in electrical circuits are not statistical and follow 1/e, rather than 1/2.
Dec 22, 2021 at 5:22 comment added Sergey Zolotarev @DKNguyen Can you provide me with a paper that supports the notion that that nuclear decay formula applies to organic decomposition too? They work differently, and maybe you deconstruct "full-lives" for organic stuff differently too
Dec 22, 2021 at 0:50 comment added Sergey Zolotarev @J.G. it's ridiculously complex for me, I don't understand it at all. And, by the way, the rate of biological decomposition is not constant with time, unlike nuclear decay, so maybe all of it doesn't apply here much
Dec 21, 2021 at 10:13 history edited J.G. CC BY-SA 4.0
Made half-life/mean lifetime notation more standard
Dec 21, 2021 at 10:12 comment added J.G. @SergeyZolotarev In terms of whether the decay lifetime is really infinite, that's discusssed here.
Dec 21, 2021 at 3:57 comment added DKNguyen Oh, yeah. I used 10% in my 3.32 half life calculation. Not 1% like you asked. Yes 6.64 time constants for 1%
Dec 21, 2021 at 3:49 vote accept Sergey Zolotarev
Dec 21, 2021 at 3:49 comment added Sergey Zolotarev Does it take 66 years (ibb.co/BykqVHY)? Are you kidding me? It's insane
Dec 21, 2021 at 3:44 comment added DKNguyen What you wrote earlier is correct
Dec 21, 2021 at 3:44 comment added Sergey Zolotarev So what and how should I type in? Guide me through please
Dec 21, 2021 at 3:38 comment added DKNguyen Oh, that's what you mean. See edits. It can be an absolute or percentage amount since they just cancel out to a fraction anyways when dividing by both sides.
Dec 21, 2021 at 3:37 history edited DKNguyen CC BY-SA 4.0
added 87 characters in body
Dec 21, 2021 at 3:36 comment added Sergey Zolotarev Well, I don't understand your explanation. You never explained what A or Ao is, for one thing. Is it a percentage of decomposing matter? Should my phone solve this then: 0,01=1*0,5^(t/10) (if we take the half-life of ten years)?
Dec 21, 2021 at 3:30 comment added DKNguyen I already explained that in the last sentence of the post.
Dec 21, 2021 at 3:29 comment added Sergey Zolotarev Thankfully, I have a cell phone that can do logarithms for me. Just show me how your formula works please
Dec 21, 2021 at 3:23 history edited DKNguyen CC BY-SA 4.0
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Dec 21, 2021 at 3:20 comment added DKNguyen @SergeyZolotarev You need logarithms to solve for the exponent. Set $A = 0.1A_o$ Solve for t in terms of $\tau$. Also no negative on the exponent. My error.
Dec 21, 2021 at 3:19 comment added Sergey Zolotarev Could you provide me with your calculation? I don't think I understand your formula
Dec 21, 2021 at 3:13 comment added Toby Mak For the mathematical details: Central Limit Theorem for exponential distribution
Dec 21, 2021 at 3:11 comment added DKNguyen @TobyMak Yes, half-life is statistical. 3.32 half-life time constants for 90% reduction.
Dec 21, 2021 at 3:10 comment added Toby Mak The behaviour of large numbers of particles is predictable (through statistical processes such as the central limit theorem). Conversely, the behaviour of one particle is totally random, so it's impossible to predict when that last particle will decay to zero.
Dec 21, 2021 at 3:07 comment added DKNguyen @SergeyZolotarev Well it's mathematically like that. In reality there are only finite number of molecules but there are a great number of them so you can keep subdividing very far so it would take a very long time until you get 4, then 2, then 1, then zero.
Dec 21, 2021 at 3:06 comment added Sergey Zolotarev It's interesting because I would never imagine that paper can decompose infinitely. Suppose, the percentage is 99% (it's as good as 100%). What would it come to?
Dec 21, 2021 at 3:06 history edited DKNguyen CC BY-SA 4.0
added 41 characters in body
Dec 21, 2021 at 3:00 history answered DKNguyen CC BY-SA 4.0