   Chapter 31, Problem 73PE

Chapter
Section
Textbook Problem

(a) Calculate BE/A for 12C. Stable and relatively tightly bound, this nuclide is most of natural carbon. (b) Calculate BE/A for 14C. Is the difference in BE/A between 12C and 14C signi?cant? One is Stable and common, and the other is unstable and rare.

To determine

(a)

The binding energy per nucleon of C12 .

Explanation

Given info:

From periodic table,

The atomic mass A of C12 is 12u .

Number of protons Z present in C12 is 6 .

The number of neutron present in N

C12 is N=(AZ)=6 .

Formula used:

Formula to find the B.E. per nucleon is,

B.E.A=Z m p+N m nmtotalc2A

Equation-1

Here, mp is the mass of proton, mn is the mass of neutron, mtotal is the total mass and c is the speed of light.

Calculation:

To find the Binding energy per nucleon of C12substitute all the known values in equation-1

B

To determine

(b)

To compare the difference in binding energy per nucleon of C12 and C14 .

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