a) Explain the significance of the binding energy of an isotope. b) Use the data to explain why potassium-42 is a beta minus emitter but potassium-39 cannot undergo beta minus decay.

Principles of Instrumental Analysis
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Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
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Chapter21: Surface Characterization By Spectroscopy And Microscopy
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a) Explain the significance of the binding energy of an isotope. b) Use the data to explain why potassium-42 is a beta minus emitter but potassium-39 cannot undergo beta minus decay.
The table shows two isotopes of potassium and two isotopes of calcium.
39K
42K
Stable
B-decay
38.96371
41.9624
19
19
23
42.34797
0.38557
5.76 x 10-11
Type of emission
Mass of neutral atom / u
Number of electrons
Number of protons
Number of neutrons
Total mass / u
Mass defect / u
Binding energy / J
Mass of the electron = 0.000549 u
Mass of the proton = 1.007276 u
Mass of the neutron = 1.008665 u
39 Ca
B+ decay
38.9707
42Ca
stable
41.95863
Transcribed Image Text:The table shows two isotopes of potassium and two isotopes of calcium. 39K 42K Stable B-decay 38.96371 41.9624 19 19 23 42.34797 0.38557 5.76 x 10-11 Type of emission Mass of neutral atom / u Number of electrons Number of protons Number of neutrons Total mass / u Mass defect / u Binding energy / J Mass of the electron = 0.000549 u Mass of the proton = 1.007276 u Mass of the neutron = 1.008665 u 39 Ca B+ decay 38.9707 42Ca stable 41.95863
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