QUESTION IMAGE
Question
- each box has 2 isotopes of the same element. fill in the isotope names and any missing information. use the isotope name convention, e.g. carbon - 14. assume neutral atom in ground state.
| # of n | 17 | 15 | # of e- | -10 | -12 |
| # of p+ | 25 | # of e- | 6 | ||
| # of e- | # of p+ | 6 | |||
| # of n |
| iron- | iron- | -54 | -56 | ||
| # of p+ | # of n | ||||
| # of e- | # of e- | ||||
| # of n | 27 | 30 | # of p+ | 24 |
- fill in any missing information. assume neutral atom in ground state.
| isotope name | mass number | atomic number | # of p+ | # of e- | # of n° | full nuclear notation |
| chromium - 50 | 50 24 c |
Step1: Recall atomic - related concepts
For a neutral atom in the ground state, the number of electrons (\(e^-\)) is equal to the number of protons (\(P^+\)), and the mass number (\(A\)) is the sum of the number of protons and neutrons (\(N\)). The atomic number (\(Z\)) is equal to the number of protons.
Step2: First table (left - top)
Given \(N = 17\) and \(P^+=25\). For a neutral atom, \(e^-=P^+=25\). The mass number \(A = P^++N=25 + 17=42\). The element with \(P^+=25\) is manganese. The isotope name is Manganese - 42.
For the second isotope in the first box, if \(N = 15\) and \(P^+=25\), then \(e^-=25\) and the mass number \(A=25 + 15 = 40\), isotope name is Manganese - 40.
Step3: Second table (right - top)
Given \(e^- = 6\) and \(P^+=6\), then \(N\) can be calculated from the isotope name convention. If the isotope name is not given directly, assume we are dealing with carbon (since \(P^+=6\)). For a neutral carbon atom with \(e^- = 6\) and \(P^+=6\). If the first isotope has \(e^-=6\) and \(P^+=6\), and assume mass number \(A_1\) and \(A_2\) from the given data. If \(e^- = 6\) and \(P^+=6\), for a neutral atom it is carbon. If \(N_1\) and \(N_2\) are the number of neutrons. We know \(A=P^++N\).
For the first carbon isotope, if \(e^-=6\) and \(P^+=6\), assume mass number \(A_1\) is not given directly. For the second carbon isotope, if \(e^- = 6\) and \(P^+=6\), and \(N_2\) is related to the mass - number. Since \(P^+=6\), the element is carbon. If \(e^-=6\) and \(P^+=6\), for a neutral atom, and if we assume the mass numbers from the context of isotopes, if \(N_1\) and \(N_2\) are the number of neutrons, \(A_1=P^++N_1\) and \(A_2=P^++N_2\).
Step4: Third table (left - bottom)
For iron, the atomic number of iron \(Z = 26\). For Iron - \(x\) isotopes, \(P^+=26\) for both. For the first isotope with \(N = 27\), \(e^-=26\) (neutral atom) and mass number \(A_1=26 + 27=53\), isotope name is Iron - 53. For the second isotope with \(N = 30\), \(e^-=26\) and mass number \(A_2=26+30 = 56\), isotope name is Iron - 56.
Step5: Fourth table (right - bottom)
Given \(P^+=24\), the element is chromium. For a neutral atom, \(e^-=24\). For the first isotope with mass number \(A_1 = 54\), \(N_1=A_1 - P^+=54 - 24=30\). For the second isotope with mass number \(A_2 = 56\), \(N_2=A_2 - P^+=56 - 24=32\).
Step6: Fifth table (question 4)
For Chromium - 50:
The atomic number of chromium \(Z = 24\), so \(P^+=24\). For a neutral atom, \(e^-=24\). The mass number \(A = 50\), and \(N=A - P^+=50 - 24=26\). The full nuclear notation is \(_ {24}^{50}Cr\).
For the second isotope, given \(P^+=14\), the element is silicon. The atomic number \(Z = 14\), for a neutral atom \(e^-=14\). Given \(N = 17\), the mass number \(A=P^++N=14 + 17=31\). The isotope name is Silicon - 31, and the full nuclear notation is \(_ {14}^{31}Si\).
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| Isotope Name | Mass Number | Atomic Number | # of \(P^+\) | # of \(e^-\) | # of \(N\) | Full Nuclear Notation |
|---|---|---|---|---|---|---|
| Manganese - 40 | 40 | 25 | 25 | 25 | 15 | \(_ {25}^{40}Mn\) |
| Carbon - (unknown mass - 1) | - | 6 | 6 | 6 | (unknown) | \(_ {6}^{A_1}C\) |
| Carbon - (unknown mass - 2) | - | 6 | 6 | 6 | (unknown) | \(_ {6}^{A_2}C\) |
| Iron - 53 | 53 | 26 | 26 | 26 | 27 | \(_ {26}^{53}Fe\) |
| Iron - 56 | 56 | 26 | 26 | 26 | 30 | \(_ {26}^{56}Fe\) |
| Chromium - 54 | 54 | 24 | 24 | 24 | 30 | \(_ {24}^{54}Cr\) |
| Chromium - 56 | 56 | 24 | 24 | 24 | 32 | \(_ {24}^{56}Cr\) |
| Chromium - 50 | 50 | 24 | 24 | 24 | 26 | \(_ {24}^{50}Cr\) |
| Silicon - 31 | 31 | 14 | 14 | 14 | 17 | \(_ {14}^{31}Si\) |