The mass of a hydrogen atom (11H)(11H) is 1.007825 amu; that of a tritium atom (31H)(13H) is 3.01605 amu; and that of an α particle is 4.00150 amu. How much energy in kilojoules per mole of 42He24He produced is released by the following fusion reaction: 11H+31H⟶42He.

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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The mass of a hydrogen atom (11H)(11H) is 1.007825 amu; that of a tritium atom (31H)(13H) is 3.01605 amu; and that of an α particle is 4.00150 amu. How much energy in kilojoules per mole of 42He24He produced is released by the following fusion reaction: 11H+31H⟶42He.

Expert Solution
Calculation

Fusion reaction:

1H1 + 3 H1 -----------> 2He4

Mass of 1H = 1.007825 amu

Mass of H3 = 3.01605 amu

Hence on fusion expected mass of 4α is 1.007825+3.01605 = 4.023875 amu

But actual (Observed) mass of 4α is 4.00150 amu.

The difference between expected mass and observed mass is called mass defect (Δm) which is converted into the energy.

Let us calculate the mass defect (Δm).

Δm = Expected Mass – Observed Mass

Δm = 4.023875 – 4. 00150

Δm = 0.022375 amu

Δm = 0.022375 x (1.66 x 10-27) Kg ……… (Since, 1amu = 1.66 x 10-27 Kg.)

Δm = 3.71 x 10-29 Kg

 

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