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Chapter 11: Q38E (page 519)

Calculate Q for neutron decay.

Short Answer

Expert verified

The value of Q is 0.782 MeV.

Step by step solution

01

Given data

Neutron decay reaction is 01n→11p+−10e.

Atomic mass of01n,mn=1.008665u.

Atomic mass of11P,mp=1.007828u .

02

Definition of Kinetic Energy

The kinetic energy released is, Q=(mi−mf)c2.

Where,mi is the mass of parents’ nucleus,mfis the mass of the daughter nucleus, andcis the speed of light in vacuum.

03

Determine the value of Q  for neutron decay

The kinetic energy released is,Q=(mi−mf)c2.

The conversion factor may be used to express c2 in MeV/u.

Q=(mn−mp)931.5MeVuQ=(1.008665u−1.007825u)931.5MeVuQ=0.782MeV

The value of Q is 0.782 MeV.

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