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Chapter 42: Q 32 Exercise (page 1237)

What is the total energy (in MeV) released in the beta decay

of a neutron?

Short Answer

Expert verified

Therefore, the total energy released is0.78MeV

Step by step solution

01

Given information

Beta decay of a neutron.

02

Explanation

We need to find the energy released during neutron beta decay.

The decay is given as:

n→p++e-+v¯

We find the value of Δm:

Δm=m(n)-mp+-me-Δm=939.57MeV/c2-938.28MeV/c2-0.51MeV/c2Δ³¾=0.78MeV/c2

03

Calculations

The energy released is calculated as:

E=Δmc2E=0.78MeV/c2c2E=0.78MeV

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Most popular questions from this chapter

The uranium isotope U238is naturally present at low levels in many soils. One of the nuclei in the decay series of U238is the radon isotope R222n, which decays by emitting a localid="1650487447445" 5.50MeValpha particle with localid="1650487458663" t1/2=3.82days. Radon is a gas, and it tends to seep from soil into basements. The Environmental Protection Agency recommends that homeowners take steps to remove radon, by pumping in fresh air, if the radon activity exceeds 4pCiperliterof air.

a. How many R222natoms are there in 1m3of air if the activity is 4pCiL?

b. The range of alpha particles in air is ≈3cm. Suppose we model a person as a 180-cm-tall, 25-cm-diameter cylinder with a mass of 65kg. Only decays within 3cmof the cylinder can cause exposure, and only ≈50%, of the decays direct the alpha particle toward the person. Determine the dose in mSvperyearfor a person who spends the entire year in a room where the activity is 4pCi/L.

c. Does the EPA recommendation seem appropriate? Why?

Nucleus A decays into nucleus B with a half-life of 10 s. At

t = 0 s, there are 1000 A nuclei and no B nuclei. At what time

will there be 750 B nuclei?

A 1 Ci source of radiation is a significant source. 238 U is an alpha emitter. What mass of 238 U has an activity of 1 Ci?

What energy (in MeV) alpha particle has a de Broglie wavelength equal to the diameter of a238Unucleus?

Use the potential-energy diagram in Figure 42.8 to estimate the strength of the strong force between two nucleons separated by 1.5fm.

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