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PhysicsCollege Physics1st Edition

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Chapter 31, Problem 69PE
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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

2H is a loosely hound isotope of hydrogen. Called deuterium or heavy hydrogen, it is stable but relatively rare−it is 0.015% of natural hydrogen. Note that deuterium has Z = N, which should tend to make it more tightly bound, but both are odd numbers. Calculate BE/A, the binding energy per nucleon, for 2H and compare it with the approximate value obtained from line graph in Figure 31.27.

To determine

The binding energy per nucleon of H2 .

Explanation

Given info:

From periodic table,

The atomic mass A of H2 is 2.014101778 u .

Number of protons Z present in H2 is 1 .

The number of neutron present in N

  F56e is N =(A−Z) = 1 .

Formula used:

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

  B.E.A =Z m p+N m n−mtotalc2A

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 H2substitute all the known values in equation-1

  B.E.A H2=1× 1

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Ch-31 P-1CQCh-31 P-2CQCh-31 P-3CQCh-31 P-4CQCh-31 P-5CQCh-31 P-6CQCh-31 P-7CQCh-31 P-8CQCh-31 P-9CQCh-31 P-10CQ
Ch-31 P-11CQCh-31 P-12CQCh-31 P-13CQCh-31 P-14CQCh-31 P-15CQCh-31 P-16CQCh-31 P-17CQCh-31 P-18CQCh-31 P-19CQCh-31 P-20CQCh-31 P-21CQCh-31 P-22CQCh-31 P-23CQCh-31 P-24CQCh-31 P-25CQCh-31 P-26CQCh-31 P-27CQCh-31 P-1PECh-31 P-2PECh-31 P-3PECh-31 P-4PECh-31 P-5PECh-31 P-6PECh-31 P-7PECh-31 P-8PECh-31 P-9PECh-31 P-10PECh-31 P-11PECh-31 P-12PECh-31 P-13PECh-31 P-14PECh-31 P-15PECh-31 P-16PECh-31 P-17PECh-31 P-18PECh-31 P-19PECh-31 P-20PECh-31 P-21PECh-31 P-22PECh-31 P-23PECh-31 P-24PECh-31 P-25PECh-31 P-26PECh-31 P-27PECh-31 P-28PECh-31 P-29PECh-31 P-30PECh-31 P-31PECh-31 P-32PECh-31 P-33PECh-31 P-34PECh-31 P-35PECh-31 P-36PECh-31 P-37PECh-31 P-38PECh-31 P-39PECh-31 P-40PECh-31 P-41PECh-31 P-42PECh-31 P-43PECh-31 P-44PECh-31 P-45PECh-31 P-46PECh-31 P-47PECh-31 P-48PECh-31 P-49PECh-31 P-50PECh-31 P-51PECh-31 P-52PECh-31 P-53PECh-31 P-54PECh-31 P-55PECh-31 P-56PECh-31 P-57PECh-31 P-58PECh-31 P-59PECh-31 P-60PECh-31 P-61PECh-31 P-62PECh-31 P-63PECh-31 P-64PECh-31 P-65PECh-31 P-66PECh-31 P-67PECh-31 P-68PECh-31 P-69PECh-31 P-70PECh-31 P-71PECh-31 P-72PECh-31 P-73PECh-31 P-74PECh-31 P-75PECh-31 P-76PECh-31 P-77PECh-31 P-78PECh-31 P-79PECh-31 P-80PECh-31 P-81PECh-31 P-82PECh-31 P-83PE

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