QUESTION IMAGE
Question
1 complete the following table.
| isotopic symbol (nuclear form) | isotope symbol (hyphen form) | atomic # | mass # | # of protons | # of neutrons | # of electrons |
|---|---|---|---|---|---|---|
| 32 | 16 | |||||
| 24 | 20 | |||||
| $^{24}$mg | 24 | 24 | 12 | 12 | 12 | 12 |
| 32s | 32s | 16 | 64 | 16 | 34 | 16 |
| $^{207}$pb | lead-207 | 87 | 207 | 82 | 82 | 125 |
| 53 | 127 | |||||
| $^{238}$u | uranium | 92 | 92 | 238 | 92 | 146 |
| 129 | 52 | |||||
| $^{19}$f | fluorine | 9 | 19 | 9 | 10 | 9 |
Response
To solve the isotope table, we use the following relationships:
- Atomic number (\(Z\)) = Number of protons = Number of electrons (in neutral atoms).
- Mass number (\(A\)) = Number of protons + Number of neutrons.
- Isotopic symbol (nuclear form): \(\ce{^A_X}\) (where \(X\) is the element symbol).
- Isotopic symbol (hyphen form): \(X\text{-}A\).
Row 1:
- Protons = 11 ⇒ Atomic number \(Z = 11\) (element: Sodium, \(\ce{Na}\)).
- Neutrons = \(A - Z = 24 - 11 = 13\).
- Electrons = Protons = 11 (neutral atom).
- Nuclear form: \(\ce{^{24}_{11}Na}\); Hyphen form: Sodium-24.
Row 2:
- Protons = 16 ⇒ Atomic number \(Z = 16\) (element: Sulfur, \(\ce{S}\)).
- Neutrons = \(32 - 16 = 16\).
- Electrons = 16 (neutral atom).
- Nuclear form: \(\ce{^{32}_{16}S}\); Hyphen form: Sulfur-32.
Row 3:
- Electrons = 20 ⇒ Protons = 20 (neutral atom) ⇒ Atomic number \(Z = 20\) (element: Calcium, \(\ce{Ca}\)).
- Neutrons = 24 ⇒ Mass number \(A = 20 + 24 = 44\).
- Nuclear form: \(\ce{^{44}_{20}Ca}\); Hyphen form: Calcium-44.
Row 4: \(\ce{^{24}Mg}\)
- Element: Magnesium (\(\ce{Mg}\)), \(Z = 12\) (protons = 12).
- Mass number \(A = 24\).
- Neutrons = \(24 - 12 = 12\).
- Electrons = 12 (neutral atom).
- Hyphen form: Magnesium-24.
Row 5:
- Protons = 16 ⇒ \(Z = 16\) (Sulfur, \(\ce{S}\)), \(A = 64\).
- Neutrons = \(64 - 16 = 48\) (correction: original 34 is wrong).
- Nuclear form: \(\ce{^{64}_{16}S}\); Hyphen form: Sulfur-64.
Row 6: Lead-207 (\(\ce{^{207}Pb}\))
- Element: Lead (\(\ce{Pb}\)), \(Z = 82\) (protons = 82).
- Mass number \(A = 207\).
- Neutrons = \(207 - 82 = 125\).
- Electrons = 82 (neutral atom).
Row 7:
- \(Z = 53\) (Iodine, \(\ce{I}\)), \(A = 127\).
- Protons = 53, Electrons = 53 (neutral atom).
- Neutrons = \(127 - 53 = 74\).
- Nuclear form: \(\ce{^{127}_{53}I}\); Hyphen form: Iodine-127.
Row 8: \(\ce{^{238}U}\)
- Element: Uranium (\(\ce{U}\)), \(Z = 92\) (protons = 92).
- Mass number \(A = 238\).
- Neutrons = \(238 - 92 = 146\).
- Electrons = 92 (neutral atom).
- Hyphen form: Uranium-238.
Row 9:
- Protons = 52 ⇒ \(Z = 52\) (Tellurium, \(\ce{Te}\)), \(A = 129\).
- Neutrons = \(129 - 52 = 77\).
- Electrons = 52 (neutral atom).
- Nuclear form: \(\ce{^{129}_{52}Te}\); Hyphen form: Tellurium-129.
Row 10: \(\ce{^{19}F}\)
- Element: Fluorine (\(\ce{F}\)), \(Z = 9\) (protons = 9).
- Mass number \(A = 19\).
- Neutrons = \(19 - 9 = 10\).
- Electrons = 9 (neutral atom).
- Hyphen form: Fluorine-19.
Final Table (Key Corrections):
| Isotopic Symbol (Nuclear) | Isotope Symbol (Hyphen) | Atomic # | Mass # | # Protons | # Neutrons | # Electrons |
|---|---|---|---|---|---|---|
| \(\ce{^{32}_{16}S}\) | Sulfur-32 | 16 | 32 | 16 | 16 | 16 |
| \(\ce{^{44}_{20}Ca}\) | Calcium-44 | 20 | 44 | 20 | 24 | 20 |
| \(\ce{^{24}Mg}\) | Magnesium-24 | 12 | 24 | 12 | 12 | 12 |
| \(\ce{^{64}_{16}S}\) | Sulfur-64 | 16 | 64 | 16 | 48 | 16 |
| \(\ce{^{207}Pb}\) | Lead-207 | 82 | 207 | 82 | 125 | 82 |
| \(\ce{^{127}_{53}I}\) | Iodine-127 | 53 | 127 | 53 | 74 | 53 |
| \(\ce{^{238}U}\) | Uranium-238 | 92 | 2… |
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To solve the isotope table, we use the following relationships:
- Atomic number (\(Z\)) = Number of protons = Number of electrons (in neutral atoms).
- Mass number (\(A\)) = Number of protons + Number of neutrons.
- Isotopic symbol (nuclear form): \(\ce{^A_X}\) (where \(X\) is the element symbol).
- Isotopic symbol (hyphen form): \(X\text{-}A\).
Row 1:
- Protons = 11 ⇒ Atomic number \(Z = 11\) (element: Sodium, \(\ce{Na}\)).
- Neutrons = \(A - Z = 24 - 11 = 13\).
- Electrons = Protons = 11 (neutral atom).
- Nuclear form: \(\ce{^{24}_{11}Na}\); Hyphen form: Sodium-24.
Row 2:
- Protons = 16 ⇒ Atomic number \(Z = 16\) (element: Sulfur, \(\ce{S}\)).
- Neutrons = \(32 - 16 = 16\).
- Electrons = 16 (neutral atom).
- Nuclear form: \(\ce{^{32}_{16}S}\); Hyphen form: Sulfur-32.
Row 3:
- Electrons = 20 ⇒ Protons = 20 (neutral atom) ⇒ Atomic number \(Z = 20\) (element: Calcium, \(\ce{Ca}\)).
- Neutrons = 24 ⇒ Mass number \(A = 20 + 24 = 44\).
- Nuclear form: \(\ce{^{44}_{20}Ca}\); Hyphen form: Calcium-44.
Row 4: \(\ce{^{24}Mg}\)
- Element: Magnesium (\(\ce{Mg}\)), \(Z = 12\) (protons = 12).
- Mass number \(A = 24\).
- Neutrons = \(24 - 12 = 12\).
- Electrons = 12 (neutral atom).
- Hyphen form: Magnesium-24.
Row 5:
- Protons = 16 ⇒ \(Z = 16\) (Sulfur, \(\ce{S}\)), \(A = 64\).
- Neutrons = \(64 - 16 = 48\) (correction: original 34 is wrong).
- Nuclear form: \(\ce{^{64}_{16}S}\); Hyphen form: Sulfur-64.
Row 6: Lead-207 (\(\ce{^{207}Pb}\))
- Element: Lead (\(\ce{Pb}\)), \(Z = 82\) (protons = 82).
- Mass number \(A = 207\).
- Neutrons = \(207 - 82 = 125\).
- Electrons = 82 (neutral atom).
Row 7:
- \(Z = 53\) (Iodine, \(\ce{I}\)), \(A = 127\).
- Protons = 53, Electrons = 53 (neutral atom).
- Neutrons = \(127 - 53 = 74\).
- Nuclear form: \(\ce{^{127}_{53}I}\); Hyphen form: Iodine-127.
Row 8: \(\ce{^{238}U}\)
- Element: Uranium (\(\ce{U}\)), \(Z = 92\) (protons = 92).
- Mass number \(A = 238\).
- Neutrons = \(238 - 92 = 146\).
- Electrons = 92 (neutral atom).
- Hyphen form: Uranium-238.
Row 9:
- Protons = 52 ⇒ \(Z = 52\) (Tellurium, \(\ce{Te}\)), \(A = 129\).
- Neutrons = \(129 - 52 = 77\).
- Electrons = 52 (neutral atom).
- Nuclear form: \(\ce{^{129}_{52}Te}\); Hyphen form: Tellurium-129.
Row 10: \(\ce{^{19}F}\)
- Element: Fluorine (\(\ce{F}\)), \(Z = 9\) (protons = 9).
- Mass number \(A = 19\).
- Neutrons = \(19 - 9 = 10\).
- Electrons = 9 (neutral atom).
- Hyphen form: Fluorine-19.
Final Table (Key Corrections):
| Isotopic Symbol (Nuclear) | Isotope Symbol (Hyphen) | Atomic # | Mass # | # Protons | # Neutrons | # Electrons |
|---|---|---|---|---|---|---|
| \(\ce{^{32}_{16}S}\) | Sulfur-32 | 16 | 32 | 16 | 16 | 16 |
| \(\ce{^{44}_{20}Ca}\) | Calcium-44 | 20 | 44 | 20 | 24 | 20 |
| \(\ce{^{24}Mg}\) | Magnesium-24 | 12 | 24 | 12 | 12 | 12 |
| \(\ce{^{64}_{16}S}\) | Sulfur-64 | 16 | 64 | 16 | 48 | 16 |
| \(\ce{^{207}Pb}\) | Lead-207 | 82 | 207 | 82 | 125 | 82 |
| \(\ce{^{127}_{53}I}\) | Iodine-127 | 53 | 127 | 53 | 74 | 53 |
| \(\ce{^{238}U}\) | Uranium-238 | 92 | 238 | 92 | 146 | 92 |
| \(\ce{^{129}_{52}Te}\) | Tellurium-129 | 52 | 129 | 52 | 77 | 52 |
| \(\ce{^{19}F}\) | Fluorine-19 | 9 | 19 | 9 | 10 | 9 |
(Note: Row 5 had an error in neutrons; corrected to 48. Other rows follow atomic structure rules.)