a. from first principles, derive the equation for radioactive decay and explain the meaning of the decay constant.

Answers

Answer 1

Suppose N is the size of a population of radioactive atoms at a given time t, and dN is the amount by which the population decreases in time dt; then the rate of change is given by the equation dN/dt = −λN, where λ is the decay constant.

What is meant by constant?

A number with a fixed value in a specific context or globally, or that is a feature of some substance or instrument, are examples of things that are constant or unchanging.A number that is presumptively constant in a certain mathematical debate.During an experiment, you maintain a constant variable, also referred to as a control variable.Constant is frequently paired with the words faithful, loyal, resolute, staunch, and unwavering.Constant refers to not being dependent on another factor and remaining the same when that factor changes.A constant is a value or number that is consistently the same regardless of how it is expressed.

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Related Questions

Classify each of the following materials as an element, compound, heterogeneous mixture, or a homogeneous mixture:
(a) air
(b) water
(c) diamond
(d) soil

Answers

Air is a homogeneous mixture, water is a compound, diamond is an element, and soil is heterogeneous.

(a) Air is a homogeneous mixture of gases, primarily nitrogen (78%), oxygen (21%), and trace amounts of other gases such as argon, carbon dioxide, and neon.

Air is a mixture of several different elements and compounds and the composition of air can vary depending on location and altitude.

(b) Water is a compound consisting of two hydrogen atoms and one oxygen atom, chemically represented as H2O. It is a clear, odorless, and tasteless liquid that is essential for all forms of life on Earth.

Water is a pure substance and not a mixture of any other compounds or elements.

(c) Diamond is an element made up entirely of carbon atoms. It is a naturally occurring mineral and is one of the hardest and most durable substances known.

It is a pure substance and not a mixture of any other compounds or elements.

(d) Soil is a heterogeneous mixture of organic and inorganic materials such as minerals, rocks, organic matter, water, and air.

Soil is composed of a variety of different compounds and elements and it can vary greatly in composition depending on the location and the environment.

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