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Chapter 24: Q7 P (page 1103)

Why might it be difficult to use only a nuclide'sN/Zratio to predict whether it will decay byβ+emission or bye−capture? What another factor is important?

Short Answer

Expert verified

For lighter stable nuclei, neutron to proton ratio(N/Z)is l:1.

As the mass of stable nuclei increases, neutron to proton ratio (N/Z) increases as well. So, in heavy stable nuclei, N to Z ratio is around.1.5:1Nucleus is more stable when N and Z numbers are even, than when N and Z numbers are odd.

Step by step solution

01

Given information

Let A be mass number

Z be atomic number (number of protons)

N be number of neutrons(N=A−Z)

02

Step 2:Neutron to proton ratio

The ratio of neutrons to protons in a stable nucleus is thus around 1:1for small nuclei (Z<20). The ratio increases slowly with atomic number up to about 1.58at highZ

03

Ratio

- For lighter stable nuclei, neutron to proton ratio (N/Z) is 1:1.- As the mass of stable nuclei increases, neutron to proton ratio ( N/Z) increases as well. So, in heavy stable nuclei, N to Z ratio is around 1.5:1- Nucleus is more stable when N and Z numbers are even, than when N and Z numbers are odd

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