   Chapter 31, Problem 72PE

Chapter
Section
Textbook Problem

(a) Calculate BE/A for 235U, the rarer of the two most common uranium isotopes. (b) Calculate BE/A for 238U. (Most of uranium is 238U.) Note that 238U has even numbers at both protons and neutrons. Is the BE/A of 238U significantly different from that of 235U?

To determine

(a)

The binding energy per nucleon of U235 .

Explanation

Given info:

From periodic table,

The atomic mass A of U235 is 235.0439299u .

Number of protons Z present in U235 is 92 .

The number of neutron present in N

U235 is N=(AZ)=143 .

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 U235 substitute all the known values in equation-1

B

To determine

(b)

The difference in binding energy per nucleon of U235 and U238 .

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