## Half-life and radioactive dating mastering physics opinion

Documents Flashcards Grammar checker. Print View with Answers advertisement. Print View with Answers 1 of 20 https: The atomic masses are Part A Calculate the total energy released by this process. Express your answer using four significant figures. Part A What particle is emitted in the following radioactive decay?

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## Half-Life and Radioactive Dating?

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# Half-life and radioactive dating mastering physics

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Beta decay In a beta-minus decay, an electron as well as an antineutrino with negligible mass is emitted as a neutron is converted into a proton. Such a decay increases the atomic number by one without changing the number of nucleons. How many alpha decays will occur during this chain process? Alpha decay In alpha-particle decay, a helium nucleus consisting of two protons and two neutrons is emitted from the parent atom, leaving it with four fewer nucleons and an atomic number reduced by two.

The equations for decay and half-life are derived, and then a simple problem in carbon dating is solved. To understand decay in terms of half-life and to solve radioactive dating problems. Particles in a nucleus are bound by the strong force. A reasonable model of this binding would be a barrier potential of finite energy.

Quantum mechanics allows a small, nonzero probability for a particle to "tunnel" through a potential barrier. Working with this rough model, we can say that, for a given unstable nucleus, there is a constant probability of some particle, say an alpha particle, tunneling through the barrier and being emitted as radiation.

Since this probability is constant, depending only on the particular nuclide involved, you would expect the number of decays per second to be proportional to the number of nuclei present. Since the number of decays is the same as the amount by which the total number of nuclei of the particular type being considered is reduced, you can construct the relationship , where is the number of nuclei at a time.

The constant of proportionality is called the decay constant. Part A If , where is some constant, what is Express your answer in terms of? Thus, is the general solution to the differential equation for radioactive decay. Part B Given that at time there is a quantity of nuclei present Express your answer in terms of in other words, , find the value of the constant in the equation. Print View with Answers 14 of 20 Since https: Find the time at which half of the original number of nuclei will remain.

What values to use Which of the following correctly pairs the value of and the value of that should be entered into to find the value of? The number is called the half-life of the nucleus. Frequently, the half-life is given instead of the decay constant when discussing the decay of radioactive nuclei.

If you measure the number of nuclei at any time and then wait one half-life, of the nuclei will remain. If you wait two half-lives then will remain.

If you wait three half-lives, will remain, and so on. The decay of radioactive nuclei can be used to measure the age of artifacts, fossils, and rocks. Dating an organic artifact entails looking at its carbon content.

Carbon exists in three isotopic forms: Both and are stable whereas is radioactive. To find the age of an organic artifact, first, you measure how much is found within the artifact.

Half Life Chemistry Problems - Nuclear Radioactive Decay Calculations Practice ExamplesThen, you estimate how much would have been in it when it was first made. You then plug these two values into the decay equation to find how old the artifact is.

The quantity of originally in the artifact may be estimated fairly accurately because the percent of atmospheric carbon in the form of the isotope stays relatively constant with time. Since plants constantly take in new carbon from atmospheric carbon dioxide, the percent of in a plant should be the same as the percent in the atmosphere, until the plant dies and stops taking in new carbon. Therefore, you can use this percent and the present quantity of total carbon in the artifact to find how much was in it when it died.

The half-life of is years. Print View with Answers 15 of 20 https: If a sample shows only one-fourth of its estimated original quantity of need to plug into it at all for this problem.

Think about half-lives; don't try to just plug into the decay equation.

## MasteringPhysics: Print View with Answers

You shouldn't Express your answer in years to three significant figures. Express your answer as an integer. To solve more general carbon dating problems, you must first find the value of the decay constant for Using the given half-life, years, find the value of the decay constant for.

Most problems are not , so that you can easily use the decay equation. Express your answer in inverse years to three significant figures. Relating and Recall that in Part C you found the relation. How old is the cloth? Express your answer in years to two significant figures. Radioactive dating is an important technique used by archaeologists to find the age of newly discovered items and to determine the authenticity of supposed artifacts. Food is often irradiated with either x rays or electron beams to help prevent spoilage.

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If x rays are used, what would be the dose in? Print View with Answers 16 of 20 https: Part B What would be the dose in? The isotope undergoes decay with a half-life of Print View with Answers 17 of 20 https: Part A What is the activity of 1. The isotope undergoes decay with a half-life of 28 years. Part A What nucleus is produced by this decay? Part B If a nuclear power plant is contaminated with Sr, how long will it take for the radiation level to decrease to 1.

Express your answer using two significant figures. Radioactive isotopes used in cancer therapy have a "shelf-life," just like pharmaceuticals used in chemotherapy.

When its activity falls below Just after it has been manufactured in a nuclear reactor, the activity of a sample of is When its activity falls below , it is considered to be too weak a source to use in treatment. You work in the radiology department of a large hospital.

One of these sources in your inventory was manufactured on October 6, It is now April 6, Part A Is the source still usable? The half-life of is 5.

It has become popular for some people to have yearly whole-body scans CT scans, formerly called CAT scans , using x rays, just to see if they detect anything suspicious. A number of medical people have recently questioned the advisability of such Print View with Answers 18 of 20 https: Typically, one such scan gives a dose of 12 applied to the whole body.

By contrast, a chest x ray typically administers 0. The energy per reaction is calculated for fission of uranium This is compared to the energy usage of the US in a year. Nuclear reactors generate power by harnessing the energy from nuclear fission. In a fission reaction, uranium absorbs a neutron, bringing it into a highly unstable state as uranium This state almost immediately breaks apart into two smaller fragments, releasing energy. One typical reaction is , where indicates a neutron.

In this problem, assume that all fission reactions are of this kind. In fact, many different fission reactions go on inside a reactor, but all have similar reaction energies, so it is reasonable to calculate with just one. The products of this reaction are unstable and decay shortly after fission, releasing more energy. In this problem, you will ignore the extra energy contributed by these secondary decays.

You will need the following mass data: Part A What is the reaction energy of this reaction? Express your answer in millions of electron volts to three significant figures. Formula for reaction energy. Your children dealing a few months after thought it might partner where relationship dating physics going, radioactive dating and and do you love.

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