Locate the nuclides displayed in Table 42-1 on the nuclidic chart of Fig. 42-5. Verify that they lie in the stability zone.

Short Answer

Expert verified

The nuclides displayed in table 42-1 on the nuclidic chart are located and they all lie in the stability zone except two nuclides 227Acand239Pu.

Step by step solution

01

The given data

Table 42-1 on the nuclidic chart of Figure 42-5 is given.

02

Understanding the concept of nuclidic chart

A nuclidic chart is a two-dimensional graph of isotopes of the elements, in which one axis represents the number of neutrons and the other represents the number of protons in the atomic nucleus. Each box represents a particular nuclide and is color-coded according to its predominant decay mode. The stability zone of the nuclides lies in the upper valley of the belt region.

03

Calculate the nuclides in the stability zone

Locate a nuclide from Table 42-1 by finding the coordinate (N,Z) of the corresponding point in Fig. 42-4. It is clear that all the nuclides listed in Table 42-1 are stable except the last two, 227Acand239Pu.

Hence, all the nuclides lie in the stability zone except two nuclides 227Acand239Pu.

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Most popular questions from this chapter

a. Show that the massMof an atom is given approximately by Mapp=Amp, whereAis the mass number and is the proton mass. For (b) 1H, (c)31P,(d)120Sn, (e) 197Au, and (f) 239Pu, use Table 42-1 to find the percentage deviation between Mappand M:

role="math" localid="1662047222746" percentagedeviation=Mapp-MM×100

(g) Is a value ofMappaccurate enough to be used in a calculation of a nuclear binding energy?

A projectile alpha particle is headed directly toward a target aluminum nucleus. Both objects are assumed to be spheres. What energy is required of the alpha particle if it is to momentarily stop just as its “surface” touches the “surface” of the aluminum nucleus? Assume that the target nucleus remains stationary.

At, t = 0a sample of radionuclide Ahas twice the decay rate as a sample of radionuclide B.The disintegration constants are λAandλBwithλA>λB. Will the two samples ever have (simultaneously) the same decay rate?

Is the mass excess of an alpha particle (use a straightedge on Fig. 42-13) greater than or less than the particle’s total binding energy (use the binding energy per nucleon from Fig. 42-7)?

How much energy is released when a 238nucleus decays by emitting (a) an alpha particle and (b) a sequence of neutron, proton, neutron, and proton? (c) Convince yourself both by reasoned argument and by direct calculation that the difference between these two numbers is just the total binding energy of the alpha particle. (d) Find that binding energy. Some needed atomic and particle masses are

U238238.05079uT234h234.04363uU237237.04873uH4e4.00260uU236236.04891uH11.00783uU235235.04544un1.00866u

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