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Question
element name: boron, na, gallium, blank, tc, lead
atomic symbol w/ isotope notation: (^{11}\text{b}), na, ga, blank, tc, (\text{pb}^{2+})
atomic number: 5, 11, 31, 29, 43, 82
protons: 5, 11, 31, blank, 43, 82
neutrons: 6, 13, 37, 35, 57, 125
electrons: 5, 10, 28, blank, 43, 80
mass number: 11, 24, 68, 89, 100, 207
charge: 0, +1, 0, 0, 0, +2
To solve the missing parts of the table, we use the relationships between atomic number, protons, neutrons, electrons, mass number, and charge:
1. For the row with atomic number 29 (Copper, Cu):
- Protons: Atomic number = protons, so protons = 29.
- Neutrons: Mass number = protons + neutrons. From the table, mass number is missing, but neutrons = 35 (given). Wait, mass number = 29 (protons) + 35 (neutrons) = 64.
- Electrons: Charge = 0 (neutral), so electrons = protons = 29.
- Mass Number: 29 + 35 = 64.
- Element Name: Copper (Cu).
- Atomic Symbol w/ Isotope Notation: \( \ce{^{64}_{29}Cu} \).
2. For the row with electrons = 39 (Yttrium, Y):
- Protons: In neutral atoms, electrons = protons. But charge = 0, so protons = 39.
- Atomic Number: Atomic number = protons = 39.
- Neutrons: Mass number = 89 (given), so neutrons = 89 - 39 = 50.
- Element Name: Yttrium (Y).
- Atomic Symbol w/ Isotope Notation: \( \ce{^{89}_{39}Y} \).
3. For Gallium (Ga):
- Mass Number: Protons (31) + Neutrons (37) = 68 (matches given mass number).
- Electrons: Charge = 0, but given electrons = 28. Wait, charge = protons - electrons = 31 - 28 = +3. So charge should be +3 (correction: table may have a typo, but using \( \text{charge} = p - e \), \( 31 - 28 = +3 \)).
- Atomic Symbol w/ Isotope Notation: \( \ce{^{68}_{31}Ga^{3+}} \) (if considering charge) or \( \ce{^{68}_{31}Ga} \) (neutral, but electrons don’t match).
4. For Sodium (Na):
- Mass Number: Protons (11) + Neutrons (13) = 24 (matches given mass number).
- Electrons: Charge = +1, so \( e = p - \text{charge} = 11 - 1 = 10 \) (matches given electrons).
- Atomic Symbol w/ Isotope Notation: \( \ce{^{24}_{11}Na^+} \).
5. For Technetium (Tc):
- Mass Number: Protons (43) + Neutrons (57) = 100 (matches given mass number).
- Electrons: Charge = 0, so electrons = protons = 43 (matches given electrons).
- Atomic Symbol w/ Isotope Notation: \( \ce{^{100}_{43}Tc} \).
6. For Lead (Pb²⁺):
- Mass Number: Protons (82) + Neutrons (125) = 207 (matches given mass number).
- Electrons: Charge = +2, so \( e = p - \text{charge} = 82 - 2 = 80 \) (matches given electrons).
- Atomic Symbol w/ Isotope Notation: \( \ce{^{207}_{82}Pb^{2+}} \).
Filled Table (Key Rows):
| Element Name | Atomic Symbol w/ Isotope Notation | Atomic Number | Protons | Neutrons | Electrons | Mass Number | Charge |
|---|---|---|---|---|---|---|---|
| Sodium | \( \ce{^{24}_{11}Na^+} \) | 11 | 11 | 13 | 10 | 24 | +1 |
| Gallium | \( \ce{^{68}_{31}Ga^{3+}} \) | 31 | 31 | 37 | 28 | 68 | +3 |
| Yttrium | \( \ce{^{89}_{39}Y} \) | 39 | 39 | 50 | 39 | 89 | 0 |
| Copper | \( \ce{^{64}_{29}Cu} \) | 29 | 29 | 35 | 29 | 64 | 0 |
| Technetium | \( \ce{^{100}_{43}Tc} \) | 43 | 43 | 57 | 43 | 100 | 0 |
| Lead | \( \ce{^{207}_{82}Pb^{2+}} \) | 82 | 82 | 125 | 80 | 207 | +2 |
(Note: Some rows in the original table had missing labels; the above fills in the blanks using atomic structure relationships.)
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To solve the missing parts of the table, we use the relationships between atomic number, protons, neutrons, electrons, mass number, and charge:
1. For the row with atomic number 29 (Copper, Cu):
- Protons: Atomic number = protons, so protons = 29.
- Neutrons: Mass number = protons + neutrons. From the table, mass number is missing, but neutrons = 35 (given). Wait, mass number = 29 (protons) + 35 (neutrons) = 64.
- Electrons: Charge = 0 (neutral), so electrons = protons = 29.
- Mass Number: 29 + 35 = 64.
- Element Name: Copper (Cu).
- Atomic Symbol w/ Isotope Notation: \( \ce{^{64}_{29}Cu} \).
2. For the row with electrons = 39 (Yttrium, Y):
- Protons: In neutral atoms, electrons = protons. But charge = 0, so protons = 39.
- Atomic Number: Atomic number = protons = 39.
- Neutrons: Mass number = 89 (given), so neutrons = 89 - 39 = 50.
- Element Name: Yttrium (Y).
- Atomic Symbol w/ Isotope Notation: \( \ce{^{89}_{39}Y} \).
3. For Gallium (Ga):
- Mass Number: Protons (31) + Neutrons (37) = 68 (matches given mass number).
- Electrons: Charge = 0, but given electrons = 28. Wait, charge = protons - electrons = 31 - 28 = +3. So charge should be +3 (correction: table may have a typo, but using \( \text{charge} = p - e \), \( 31 - 28 = +3 \)).
- Atomic Symbol w/ Isotope Notation: \( \ce{^{68}_{31}Ga^{3+}} \) (if considering charge) or \( \ce{^{68}_{31}Ga} \) (neutral, but electrons don’t match).
4. For Sodium (Na):
- Mass Number: Protons (11) + Neutrons (13) = 24 (matches given mass number).
- Electrons: Charge = +1, so \( e = p - \text{charge} = 11 - 1 = 10 \) (matches given electrons).
- Atomic Symbol w/ Isotope Notation: \( \ce{^{24}_{11}Na^+} \).
5. For Technetium (Tc):
- Mass Number: Protons (43) + Neutrons (57) = 100 (matches given mass number).
- Electrons: Charge = 0, so electrons = protons = 43 (matches given electrons).
- Atomic Symbol w/ Isotope Notation: \( \ce{^{100}_{43}Tc} \).
6. For Lead (Pb²⁺):
- Mass Number: Protons (82) + Neutrons (125) = 207 (matches given mass number).
- Electrons: Charge = +2, so \( e = p - \text{charge} = 82 - 2 = 80 \) (matches given electrons).
- Atomic Symbol w/ Isotope Notation: \( \ce{^{207}_{82}Pb^{2+}} \).
Filled Table (Key Rows):
| Element Name | Atomic Symbol w/ Isotope Notation | Atomic Number | Protons | Neutrons | Electrons | Mass Number | Charge |
|---|---|---|---|---|---|---|---|
| Sodium | \( \ce{^{24}_{11}Na^+} \) | 11 | 11 | 13 | 10 | 24 | +1 |
| Gallium | \( \ce{^{68}_{31}Ga^{3+}} \) | 31 | 31 | 37 | 28 | 68 | +3 |
| Yttrium | \( \ce{^{89}_{39}Y} \) | 39 | 39 | 50 | 39 | 89 | 0 |
| Copper | \( \ce{^{64}_{29}Cu} \) | 29 | 29 | 35 | 29 | 64 | 0 |
| Technetium | \( \ce{^{100}_{43}Tc} \) | 43 | 43 | 57 | 43 | 100 | 0 |
| Lead | \( \ce{^{207}_{82}Pb^{2+}} \) | 82 | 82 | 125 | 80 | 207 | +2 |
(Note: Some rows in the original table had missing labels; the above fills in the blanks using atomic structure relationships.)