Radioactivity and exponential decay 4-5 Flashcards

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1
Q

What is a model?

A

A model is a set of assumptions that simplifies and idealises a problem. The assumptions mean you can write equations that describe the processes, and so make calculations and predictions. Without the assumptions, there would be too many factors to consider.

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2
Q

What is one of the benefit of having models?

A

Once you have a model that describes one process you can often extend it, or change it slightly, to describe another, unrelated process without having to start all over again.

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3
Q

When is an atom considered unstable?

A

If an atom has too many neutrons, not enough neutrons, or too much energy in the nucleus, it may be unstable.

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4
Q

What is radioactive decay?

A

Unstable atoms break down by releasing energy and/or particles, until they reach a stable form - this process is called radioactive decay.

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5
Q

If radioactive decay is a random process, how can models be made for the decay?

A

If you take a large enough sample of unstable atoms, the overall behaviour shows a pattern. You can’t predict the decay of an individual atom, but you can predict how atoms will decay in a given time.

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6
Q

What time of decay does radioactive decay have?

A

An exponential decay.

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7
Q

What is activity?

A

The number of unstable atoms that decay each second is called the activity of the sample.

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8
Q

What is the activity of a sample proportional to?

A

The activity of a sample is proportional to the size of the sample.

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9
Q

What is the decay constant?

A

The decay constant measures how quickly an isotope will decay-it’s the probability of a given nucleus decaying in a certain time. - The bigger the value of the decay constant, the more likely a decay is, so the faster the rate of decay.

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10
Q

What are the units of the decay constant?

A

Its unit is s-1.

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11
Q

What is the equation for activity?

A

activity = decay constant x number of atoms

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12
Q

What are the units of activity?

A

Activity is measured in becquerels(Bq):

1 Bq = 1 decay per second

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13
Q

What does the gradient tell you if you graph the number of unstable atoms remaining in a sample(N) against time?

Will the gradient of the graph be positive or negative?

A

The gradient of the graph is negative. The gradient is the change in the number of radioactive nuclei remaining in a given time (the rate of decay), which must also be negative.

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14
Q

Define the term half-life of an isotope.

A

The half-life (T1/2) of an isotope is the average time it takes for the numbr of undecayed atoms to halve.

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15
Q

What do you need to remember when measuring the activity and the half-life of a source?

A

You have ti remember background radiation. The background radiation needs to be subtracted from the activity readings to give the source acitivity.

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16
Q

What equation can be used to calculate half-life?

A

T1/2 =ln2/¥

¥= Lander

17
Q

The number of radioactive atoms remaining, N, depends on the number originally present, No.

What is the equation that allows us to calculate the number of radioactive atoms remaining?

A

N = N0e-¥t

Where t is time measured in seconds.