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Chapter 11: Q68E (page 520)

For the carbon cycle to become established, helium-4 nuclei must fuse to form beryllium-8. Calculate Q for this reaction.

Short Answer

Expert verified

The value ofQ=-0.08756MeV

Step by step solution

01

Given data and concept

The nuclear reaction for this process:

H24e+H24e鈫�B48e+纬

Mass of helium =4.002603u

Mass of beryllium =8.005305u

The energy released in this decay depends upon the mass difference between the parent and daughter nucleus.

We can calculate the kinetic energy Q of the emitted particle using the formula:

Q=mp-mDc2

In this formulamP is the mass of the parent nucleus. And mDis the mass of the daughter nucleus.

02

Finding Q

By substituting numerical values, we have:

Q=2mHe-mBec2Q=2脳4.002603u-8.00530u931.5MeVuQ=-0.08756MeV

Therefore, the value ofQ=-0.08756MeV

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