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Chapter 6: Q57P (page 1478)

Calculate the mass defect for the 尾+decay of C611. Is this decay energetically possible? Why or why not? The atomic mass ofC611is 11.011434 u.

Short Answer

Expert verified

This decay is energetically possible.

Step by step solution

01

Definition of β+ decay

尾+decay can occur whenever the mass of the original neutral atom is at least two electron masses larger than that of the final atom.

02

Determine the daughter nucleus

The decay equation is given as:

C611鈫�XZA+e10

From the conservation of atomic number and the number of nucleons,

6=Z+1Z=511=A+0A=11

So, the daughter nucleus is B511 with atomic mass of 11.009305 u.

03

Determine if the decay is energetically possible or not

尾+decay can occur whenever the mass of the original neutral atom is at least two electron masses larger than that of the final atom.

Mass defect can be given as:

鈭�M=M(C611)-2me-M(B511)

Plug the values,

鈭�M=11.011434-2脳0.000548580-11.009305=1.032脳10-3u

Since the mass defect is positive, the decay is energetically possible.

Thus, this decay is energetically possible.

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