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name_________________________ period ______ date _____________
isotopes, ions, and atoms worksheet
atomic # = # of protons. mass # = atomic # + neutrons. protons = electrons when charge is zero
| atomic # | mass # | # p⁺ | # e⁻ | # n⁰ | charge | symbol |
| 1) 17 | 37 | 18 | 17 | 19 | 0 | cl |
| 2) | 180 | 71 | 109 | |||
| 3) | 40 | 38 | 46 | |||
| 4) 92 | 238 | 86 | ||||
| 5) | $\ce{_{82}^{206}pb^{4+}}$ | |||||
| 6) | 34 | 45 | -2 | |||
| 7) | 113 | 48 | 49 |
Step1: Recall formulas
Atomic number (\(Z\)) = number of protons (\(p^+\)) = number of electrons (\(e^-\)) when charge is 0.
Mass number (\(A\)) = Atomic number (\(Z\)) + number of neutrons (\(n^0\)).
Charge = \(p^+ - e^-\).
Step2: Solve for row 2
- \(Z = p^+ = e^- = 71\) (since \(e^- = 71\) and charge is 0? Wait, check \(A = Z + n^0 = 71 + 109 = 180\), which matches mass #. So \(Z = 71\), \(p^+ = 71\), charge = \(71 - 71 = 0\), symbol: element with \(Z=71\) is Lu (Lutetium).
Step3: Solve for row 3
- \(p^+ = 40\), so \(Z = 40\) (element Zr, Zirconium).
- \(e^- = 38\), so charge = \(40 - 38 = +2\).
- \(A = 40 + 46 = 86\).
Step4: Solve for row 4
- \(Z = 92\) (element U, Uranium), so \(p^+ = 92\).
- \(e^- = 86\), charge = \(92 - 86 = +6\).
- \(n^0 = A - Z = 238 - 92 = 146\).
Step5: Solve for row 5
- Symbol: \(_{82}^{206}\text{Pb}^{4+}\).
- \(Z = 82\) (so \(p^+ = 82\)).
- Charge = \(4+\), so \(e^- = p^+ - \text{charge} = 82 - 4 = 78\).
- \(n^0 = A - Z = 206 - 82 = 124\).
- \(A = 206\).
Step6: Solve for row 6
- \(p^+ = 34\) (element Se, Selenium), so \(Z = 34\).
- \(n^0 = 45\), so \(A = 34 + 45 = 79\).
- Charge = \(-2\), so \(e^- = p^+ + 2 = 34 + 2 = 36\).
Step7: Solve for row 7
- \(p^+ = 48\) (element Cd, Cadmium? Wait, \(Z=48\) is Cd? Wait, \(Z=48\) is Cadmium. Wait, \(e^- = 49\), so charge = \(48 - 49 = -1\).
- \(A = 113\), so \(n^0 = 113 - 48 = 65\).
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Let's summarize each row (filling blanks):
- (Given: \(Z=17\), \(A=36\)? Wait, original row 1: \(Z=17\), \(A=17\)? Wait, no, original row 1: \(Z=17\), \(A=36\)? Wait, user's table: row 1: Atomic #17, Mass #36? Wait, original table row 1: Atomic #17, Mass #36? Wait, \(n^0=19\), so \(A=17+19=36\), correct. \(p^+=17\), \(e^-=17\), charge 0, symbol Cl.
- \(Z=71\), \(p^+=71\), charge \(0\), \(A=180\), symbol Lu.
- \(Z=40\), \(A=86\), charge \(+2\), symbol Zr.
- \(p^+=92\), charge \(+6\), \(n^0=146\), symbol U.
- \(Z=82\), \(A=206\), \(p^+=82\), \(e^-=78\), \(n^0=124\), charge \(+4\).
- \(Z=34\), \(A=79\), \(e^-=36\), symbol Se\(^{2-}\).
- \(Z=48\), charge \(-1\), \(n^0=65\), symbol Cd\(^-\) (or check \(Z=48\) is Cd, \(e^-=49\), charge \(-1\), \(A=113\)).
(Note: For each row, the key is applying \(Z = p^+ = e^- (\text{if charge}=0)\), \(A = Z + n^0\), \(\text{charge} = p^+ - e^-\).)