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Chapter 11: Q23E (page 518)

Calculate the binding energy per nucleon of carbon- 12.

Short Answer

Expert verified

Binding energy per nucleons is 7.68MeVnucleons.

Step by step solution

01

Given data

Total number of nucleons, A=12.

Carbon 鈭�12 has Z (proton )=6 and N(neutron)==A鈭�Z=12鈭�6=6.

Atomic number of hydrogen, mH=1.007825u.

Mass of neutron, mn=1.008665u.

Speed of light,c=3脳108m/s .

Atomic mass of technetium, M126C=12u.

02

Formula for Binding energy

For helium- 4, binding energy is given by formula, BE=(ZmH+Nmn鈭�M41x)c2.

03

Calculation for the binding energy per nucleons

The binding energy per nucleons is given as:

BEnucleons=(ZmH+Nmn-M126c)c2ABEnucleons=[6(1.007825u)+6(1.008665u)鈭�12u]c212

The conversion factor may be used to express c2in MeV/u.

BEnucleons=[6(1.007825u)+6(1.008665u)鈭�12u](931.5MeVa)12nucleonsBEnucleons=7.68MeVnucleons

Therefore, binding energy per nucleons is 7.68MeVnucleons.

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Most popular questions from this chapter

Using the semiempirical binding energy formula estimate the mass of a europium- 152 atom.

What fraction of space is actually occupied by ironnuclei in a "solid" piece of iron? (The density of ironis7.87脳103kg/m3 ).

The first two terms in the semi empirical binding energy formula deal solely with the internucleon attraction.

(a) Calculate the ratio of the second term to first term forA=20 . What does it say about the surface nucleons?

(b) Repeat part (a), but forA=220 .

Find Q for the decay of beryllium-10

Ten milligrams of pure polonium-210 is placed in 500 g of water.If no heat is allowed to escape to the surroundings, how much will the temperature rise in 1 hour?
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