Nuclear Half Life: Intro and Explanation

Tyler DeWitt
20 May 201205:53

Summary

TLDRThis video explains the concept of nuclear half-life, focusing on how it determines the time it takes for half of a radioactive element to decay into another element. Using thorium-234 as an example, the video illustrates how it decays into protactinium through beta decay, with its half-life being 24 days. The video also highlights different half-lives for various elements, such as uranium-238 with a half-life of 4.5 billion years and polonium-218 with a half-life of just three minutes, demonstrating the wide range of nuclear decay times.

Takeaways

  • ⚛️ Nuclear half-life is the time it takes for half of a radioactive substance to decay.
  • 🔄 In a nuclear process, the number of protons and neutrons in an atom's nucleus changes.
  • 💡 An example is thorium-234 undergoing beta decay, where a neutron turns into a proton, transforming thorium into protactinium.
  • 📉 The half-life of thorium-234 is 24 days, meaning every 24 days, half of the thorium decays into protactinium.
  • 🧪 After 24 days, 80 grams of thorium becomes 40 grams, then 20 grams after another 24 days, and so on.
  • ⏳ The half-life process continues, reducing the amount of thorium by half with each cycle, but it doesn't disappear—it changes into another element.
  • 📊 Half-life is represented as T1/2, and different elements have different half-lives based on their decay process.
  • 🌍 Uranium-238, for example, has a half-life of 4.5 billion years, taking that long for half of it to decay.
  • ⏱️ Polonium-218, on the other hand, has a very short half-life of only three minutes, decaying rapidly into lead.
  • 🧮 The key concept is that half-life is the time needed for half of a sample to decay into something else.

Q & A

  • What is nuclear half-life?

    -Nuclear half-life is the time it takes for half of a radioactive substance to undergo a nuclear process, where the number of protons and neutrons in the nucleus changes.

  • What happens during beta decay?

    -During beta decay, a neutron in the atom's nucleus turns into a proton, increasing the number of protons in the nucleus and changing the element.

  • What is the significance of the number of protons in an atom?

    -The number of protons in an atom determines what element the atom is. A change in the number of protons results in the atom becoming a different element.

  • In the example given, what element does thorium-234 decay into?

    -Thorium-234 decays into protactinium-234 after undergoing beta decay, where one neutron turns into a proton.

  • What is the half-life of thorium-234?

    -The half-life of thorium-234 is 24 days, meaning it takes 24 days for half of the thorium sample to decay into protactinium-234.

  • How does the amount of thorium change after each half-life?

    -After each half-life, the amount of thorium decreases by half. For example, after the first 24 days, 80 grams becomes 40 grams, then 20 grams after another 24 days, and so on.

  • How can nuclear half-life be represented in equations?

    -Nuclear half-life is often represented with the notation T½, indicating the time it takes for half of a sample to decay.

  • Do all radioactive elements have the same half-life?

    -No, different radioactive elements have different half-lives. For example, uranium-238 has a half-life of 4.5 billion years, while polonium-218 has a half-life of just 3 minutes.

  • What happens to uranium-238 during its decay process?

    -Uranium-238 undergoes alpha decay, turning into thorium-234. This process has a half-life of 4.5 billion years.

  • Why is it important to understand nuclear half-life?

    -Understanding nuclear half-life is important because it helps scientists predict how long it takes for radioactive materials to decay, which has applications in fields like nuclear energy, medicine, and environmental studies.

Outlines

00:00

🔬 Understanding Nuclear Half-Life

This paragraph introduces the concept of nuclear half-life, explaining that it describes the time it takes for nuclear processes, where the number of protons and neutrons in an atom's nucleus changes, to occur. The example given is the beta decay of thorium-234, where a neutron turns into a proton, transforming the element into protactinium. The explanation continues with a practical example, showing how thorium decays over time, reducing by half every 24 days until most of the sample has changed into protactinium. The key takeaway is that half-life refers to the time required for half of a material to undergo decay, and it's often denoted as T 1/2.

05:00

⏳ Half-Life Variation Across Elements

This paragraph expands on the concept of half-life by discussing how different nuclear processes have vastly different half-lives. For example, uranium-238 has a half-life of 4.5 billion years, while polonium-218 has a much shorter half-life of only three minutes. The example illustrates how, in a laboratory setting, half of a polonium-218 sample could decay in the time it takes for a brief break. The paragraph emphasizes that the half-life varies significantly depending on the element and decay process, providing contrasting examples to show the diversity in time scales for nuclear reactions.

Mindmap

Keywords

💡Nuclear half-life

Nuclear half-life is the time required for half of the atoms in a radioactive sample to decay. It is a measure of how long it takes for nuclear processes, such as the transformation of one element into another, to occur. In the video, the half-life of thorium is shown to be 24 days, meaning that every 24 days, half of the thorium decays into proactinium.

💡Nuclear process

A nuclear process refers to any change that occurs within the nucleus of an atom, specifically changes in the number of protons and neutrons. This transformation can lead to the creation of a different element. In the video, the example given is thorium-234 undergoing beta decay, where a neutron turns into a proton, thus changing the element into proactinium.

💡Beta decay

Beta decay is a type of radioactive decay where a neutron in an atom's nucleus is transformed into a proton and an electron. This changes the identity of the element, as the number of protons increases. In the video, thorium undergoes beta decay, which increases its proton count from 90 to 91, turning it into proactinium.

💡Thorium-234

Thorium-234 is a radioactive isotope of thorium that undergoes beta decay to transform into proactinium-234. The video explains that thorium-234 has a half-life of 24 days, meaning that every 24 days, half of a given sample of thorium will have decayed into proactinium.

💡Proactinium-234

Proactinium-234 is the element formed after thorium-234 undergoes beta decay. In the video, thorium’s decay process results in the production of proactinium, which marks the change of one element to another, a key concept in understanding nuclear decay.

💡Decay process

A decay process is the natural transformation of an unstable atomic nucleus into a more stable one, releasing energy in the form of radiation. In the video, the example given is the decay of thorium into proactinium, where half of the thorium decays every 24 days, demonstrating the concept of half-life.

💡Uranium-238

Uranium-238 is a radioactive isotope that undergoes alpha decay to form thorium-234. Its half-life is extremely long, approximately 4.5 billion years, which contrasts with other elements like polonium-218, as discussed in the video. This highlights the wide range of half-lives that different nuclear processes can have.

💡Alpha decay

Alpha decay is a type of radioactive decay where an atomic nucleus emits an alpha particle (composed of 2 protons and 2 neutrons). This reduces the atomic number by 2, changing the element. In the video, uranium-238 undergoes alpha decay to produce thorium-234, a process with a half-life of 4.5 billion years.

💡Polonium-218

Polonium-218 is a radioactive isotope mentioned in the video that undergoes alpha decay to form lead-214. Its half-life is extremely short—only three minutes. This contrasts with uranium-238, demonstrating how different nuclear reactions can have vastly different half-lives.

💡Graph of decay

The graph of decay represents the amount of a radioactive substance over time as it decreases exponentially. In the video, the graph illustrates how the quantity of thorium decreases by half every 24 days, visually demonstrating the concept of half-life.

Highlights

Nuclear half-life tells us how long it takes for nuclear processes to occur.

A nuclear process involves a change in the number of protons and neutrons in an atom's nucleus.

An example of a nuclear process is thorium-234 undergoing beta decay, where one of its neutrons turns into a proton.

When thorium-234 undergoes beta decay, it changes into protactinium-234 due to the increase in protons.

The half-life of thorium-234 is 24 days, meaning it takes 24 days for half of a thorium sample to decay into protactinium.

After each half-life, the remaining thorium is reduced by half: from 80 grams to 40 grams, from 40 to 20 grams, and from 20 to 10 grams.

Half-life refers to the time it takes for half of a sample of a radioactive element to decay into another element.

A graph of thorium's decay over time shows exponential reduction in the amount of thorium, with each bar representing a half-life period.

Half-lives vary greatly between elements: uranium-238 has a half-life of 4.5 billion years, while polonium-218 has a half-life of just 3 minutes.

Polonium-218's short half-life means that half of its sample would decay in 3 minutes, making it challenging to study without immediate observation.

For uranium-238, it would take 4.5 billion years for half of a sample to decay into thorium-234.

The time between each stage in a decay process differs based on the half-life of the element involved.

Half-life is crucial for understanding the time required for radioactive decay and is represented by the symbol T₁/₂.

The concept of nuclear half-life applies to different radioactive elements, each with its own distinct half-life duration.

Half-life calculations help predict the amount of time required for a specific amount of a radioactive element to decay.

Transcripts

play00:00

we're going to talk about nuclear

play00:01

half-life and then we're going to do

play00:03

some practice math problems on this

play00:05

stuff so nuclear half-life tells us how

play00:10

long it takes for nuclear processes to

play00:13

occur so a nuclear process is one where

play00:16

the number of protons and neutrons in an

play00:19

atom's nucleus where the number of those

play00:21

protons and neutrons change here is an

play00:24

example of a nuclear process so here we

play00:27

have thorium 234 and it is undergoing

play00:30

beta decay which means that one of its

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neutrons turns into a proton so it

play00:37

originally had 90 protons and then it

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gets 91 protons but here's the thing

play00:42

the number of protons and Adam has

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determines what kind of an element it is

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so when thorium which had 90 protons

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ends up getting 91 protons it changes

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into a different element what used to be

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an atom of thorium now turns into an

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atom of P a proact inium okay so this is

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a decay process for thorium turning into

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proact inium now we said nuclear

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half-life tells us about how how long it

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takes for these sort of processes to

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occur how long does it take for this to

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happen for thorium to turn into proact

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inium well let's talk about this let's

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say we start with 80 grams of thorium

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if 24 days go by at the end of those 24

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days I'm going to be left with 40 grams

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of thorium the other forty grams of

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thorium have turned in a pro acting okay

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so I'm only left with 40 now after

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another 24 days there's only 20 grams of

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thorium left and after another 24 days

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there's only 10 grams of thorium left

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all the rest has turned into proact

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inium so here's the thing every 24 days

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the amount of thorium that we have

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gets cut in half because the other half

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becomes proact inium so we'd say that

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for this process for this reaction the

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half-life is 24 days so half-life is the

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time that it takes for 1/2 of a certain

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amount of thorium to decay to turn into

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proact inium to disappear okay so 24

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days to go from 80 to 40 the amount we

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have gets cut in half 24 days to go from

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40 to 20 cut in half again 24 days to go

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from 20 to 10 gets cut in half again and

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remember it's not I'm saying

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disappearing but it's not that it

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disappears it's that it's just not

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thorium anymore it's becoming proactive

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but so when I say disappear that's what

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I mean I sometimes I think it's easier

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to think about that okay so anyway we

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say that half-life the time required for

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half of a sample to decay and we often

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abbreviate half-life with lowercase T

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with this 1/2 so I can write here that

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the T 1/2 for this is 24 days ok maybe

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you're more of a visual person so let's

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look at a quick graph of what's going on

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here okay let's imagine that this is a

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graph of thorium turning into pro acting

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here's the amount of thorium that we

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start with and then after one half-life

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we have half of it and then after

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another half-life we have half of this

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and then after another half-life we have

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half of this and so on ok now if this is

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showing a story I'm going to proact

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inium each of these bars would be

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separated by 24 days that would be the

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amount of time between them now all

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nuclear reactions all these different

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decay processes have different

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half-lives ok for different amounts of

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time for example and oh and I should say

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that

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these amounts of time vary widely so for

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example uranium-238 here undergoes alpha

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decay to make thorium-234 and the

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half-life for this reaction is 4.5

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billion years which means that it would

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take 4.5 billion years for half of a

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sample of uranium 238 to turn into

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foreign okay but then on the other hand

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polonium 218 undergoes alpha decay to

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make lead to 14 and the half-life of

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this process is only three minutes so

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that means that if you were in the lab

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studying polonium 218 and you had to get

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up and like run to the bathroom for

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three minutes by the time you came back

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half of the polonium you had in your

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sample would have disappeared it would

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have turned into lead okay so if this

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were a graph for uranium's decay instead

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of thorium the difference between each

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one of these bars would be 4.5 billion

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years would be the amount of time

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between each half-life and if this were

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polonium it would be three minutes to go

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from here to here and three minutes to

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go from here to here so that is

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half-life the time required for half of

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a sample to decay to turn into something

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else - as I keep saying to disappear

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okay so that's a background on half-life

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now let's do some calculations for

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half-life

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Related Tags
Nuclear PhysicsHalf-lifeDecay ProcessBeta DecayThoriumProactiniumScience TutorialMath ProblemsRadioactive DecayNuclear Reactions