BuyFindarrow_forward

University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
BuyFindarrow_forward

University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
Textbook Problem

For the reaction, sw n + 3 H e 4 H e + γ , find the amount of energy transfers to 4 H e and γ (oil the right side of the equation). Assume the reactants are initially at rest. (Hint: Use conservation of momentum principle.)

To determine

The amount of energy transfer to 4He and γ on the right side of equation.

Explanation

Given:

The reaction is, n+4He4He+γ.

Formula used:

The general equation of that nuclide follows is given by,

  01n+23He24He+γ

Here, γ is energy release, 01n is neutron.

The mass defect is given by,

  Δm=mn+m23He+m24He

Here, Δm is mass defect, mn is mass of neutron, m23He is mass of parent nuclide and m24He is mass of daughter nuclide.

The energy release is given by,

  E=(Δm)c2

Here, Δm is change in mass, E is energy and c is speed of light.

The momentum is given by,

  p=mv

The equation for energy and momentum is given by,

  E=12mv2+|p|c=12mv2+mvc

The energy for γ is given by,

  Eγ=|p|c=mvc

Here, Eγ is energy release by γ.

The energy for 4He is given by,

  E4He=EEγ

Here, E4He is energy by 4He.

Calculation:

Hence, the atomic mass of parent nuclide helium is, m23He=3.016029u, the atomic mass of daughter nuclide helium is, m24He=4.002603u and the mass of neutron is, mn=1.008645u.

The mass defect is calculated as,

  Δm=1.008645u+3.016029u4.002603u=0.022071u

The energy release is calculated as,

  E=(0.022071u)c2=(0.022071u)c2( 931.5 MeV/ c 2 1u)=2.065MeV(1.60× 10 13J/MeV)=3.29×1012J

The equation for energy and momentum of 4He is calculated as,

  12mv2+mvcE=0

Divide m2 on both side.

  v2+2cv+2Em=0

The value of v is calculated as,

  v=2c+ ( 2c ) 2 4( 1 )( 2E m )2(1)=2( c+ c 2 +( 2E m ) )2=c+c2+( 2E m )=(3× 108m/s)+ ( 3× 10 8 m/s )2+( 2( 3.29× 10 12 J )( 1 kg m 2 / s 2 1J ) ( 2

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

The third graders are on one side of a schoolyard, and the fourth graders are on the other. They are throwing s...

Physics for Scientists and Engineers, Technology Update (No access codes included)

All the human senses have ___. (1.3)

An Introduction to Physical Science

The BMI standard is an excellent tool for evaluating obesity in athletes and the elderly. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

How does an autoimmune disease develop?

Biology (MindTap Course List)