A magic number is the name given to certain numbers of protons or neutrons that have...

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Chemistry

A magic number is the name given to certain numbers ofprotons or neutrons that have a high correlation to stability innuclei:

magic numbers of protons:magic numbers ofneutrons:2,8,20,28,50,822,8,20,28,50,82,126,184

A plot of the number of neutrons versus the number of protonsfor all known stable nuclei, represented by reddish brown dots onthe graph, shows that these nuclei cluster together in a regionknown as the valley of stability. Nuclei with a ratio that is toohigh tend to undergo beta decay. Nuclei with a ratio that is toolow tend to undergo positron emission or electron capture.

Part A

Using general trends, predict the stability of the followingnuclei.

Drag the appropriate items to their respective bins, which areStable and Radioactive

Radium-228, Bromine-82, Sulfur-32,Chlorine-36, Zinc-64

Nuclei with Z≥84 tend to undergo αemission.

Nuclei with high n/p ratios undergo β(  0−1e) emission.

Heavy nuclei with low n/p ratios are more likely to undergoelectron (  0−1e) capture.

Light nuclei with low n/p ratios are more likely to undergopositron (01e) emission.

The classification \"high\" or \"low\" n/p ratio can be determinedby finding the coordinates on the graph that correspond to thenumber of protons (x or horizontal value) and neutrons(y or vertical value) in a given isotope. Then, observewhether this set of coordinates is above, within, or below thestability valley.
Use this information to solve Part B.

Part B

Using general tendencies and the chart given in theintroduction, predict the most likely mode of decay of each of thefollowing radioactive isotopes.

Drag the appropriate items to their respective bins, which areAlpha Decay, Beta Decay, 0/1 e emission, 0/-1 e capture

Iodine-134, Potassium-47,Americium-241,Platinum-183,Fluorine-17

THANK YOU!

Answer & Explanation Solved by verified expert
4.3 Ratings (827 Votes)

So, according to the information given

magic numbers of protons: 2,8,20,28,50,82

magic numbers of neutrons: 2,8,20,28,50,82,126,184

Element

# of protons

#neutrons

(atomic mass-#protons)

Ratio

# neutrons/# protons

Stability

Radium-228

88

140

1.6

Radioactive (# of protons >83 and high n/p ratio)

Bromine-82

35

47

1.3

Radioactive (high n/p ratio)

Sulfur-32

16

16

1

Stable

Chlorine-36

17

19

1.1

Stable

Zinc-64

30

34

1.1

Stable

To determine the n/p low or high I used the interative tool http://www.nndc.bnl.gov/chart/reCenter.jsp?z=17&n=19 that provides an interactive way to determine it. The atoms matched as stable fall into the stability band.

Element

# of protons

#neutrons

(atomic mass-#protons)

Ratio

# neutrons/# protons

Decay

Iodine-134

53

81

1.5

Beta decay (n/p large)

Potassium-47

19

28

1.5

Beta decay (n/p large)

Americium-241

95

146

1.5

Alpha decay (Z>83)

Platinum-183

78

105

1.3

electron capture

Fluorine-17

9

8

0.9

0/1 e emission

If you have any doubts please leave a comment :)


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