Verify the Q values reported in Eqs. 43-13, 43-14, and 43-15. The needed masses are

H11.007825uHe44.002603uH22.014102un1.008665uH33.016049u

Short Answer

Expert verified

The Q values are verified.

Step by step solution

01

Describe the expression for energy

The expression for energy is given by,

Q=-mc2

Here, Q is the energy release in a reaction,m is the mass difference between the parent nuclei and the daughter nuclei, and c is the velocity of light.

02

Verify the Q values

For the first reaction, the energy equation will be as follows.

Q=2m2H-m3H-mnc2.........1

Substitute all the known values in equation (1).

Q=22.014102u-3.016049u-1.008665u931.5MeV/u=3.25MeV

For the second reaction, the energy equation will be as follows.

Q=2m2H-m3H-m1Hc2.........2

Substitute all the known values in equation (2).

Q=22.014102u-3.016049u-1.007825u931.5MeV/u=4.03MeV

For the third reaction, the energy equation will be as follows.

Q=m2H-m3H-mHe-mnc2.........3

Substitute all the known values in equation (3).

Q=22.014102u-3.016049u-1.002603u-1.008665931.5MeV/u=17.59MeV

The calculated Q values are same as the given in equations.

Therefore, the Q values are verified.

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