The energies, E, for the first few states of an unknown element are shown here in arbitrary units.
n 1 E -11
n 2 E -5
n 3 E -2
n 4 E -1
n ... E ...
n infinite E 0
A gaseous sample of this element is bombarded by photons of various energies (in these same units). Match each photon to the result of its absorption (or lack thereof) by an n=1 electron.
Photon/Energy
A/11
B/9
C/8
D/6
Choices:
n=1 to n=2
n=1 to n=3
n=1 to n=4
electron ejected
not absorbed
Chemistry - DrBob222, Monday, October 29, 2012 at 10:56pm
In order to get 11, I need to go from 11 to zero. Zero is infinity which means the electron was ejected (ionized).
To get 9 I need 2 to 11 and that is n = 1 to n = 3. Can you take it from here?
Chemistry - Anonymous, Tuesday, October 30, 2012 at 12:47pm
I need help with the rest.
What is C/8? not absorbed?
Is D/8 n=1 to n=2?
I agree with both of your answers. You made a typo on D/8 should be D/6 but you gave the right answer.
what is d/6
To determine the absorption or lack thereof for the remaining photons, we need to refer to the energies given for the first few states of the element:
- For Photon C with an energy of 8 units, we need to find a transition where the difference in energy is equal to 8. Looking at the energy levels provided, there is no energy level difference of 8 units. Therefore, Photon C would not be absorbed by an n=1 electron and the result would be "not absorbed".
- For Photon D with an energy of 6 units, we need to find a transition where the difference in energy is equal to 6. The closest transition is from n=1 to n=2, which has a difference of 5 units. Therefore, Photon D would be absorbed by an n=1 electron and the result would be "n=1 to n=2".
So, to summarize:
Photon A (Energy 11 units) - Result: electron ejected
Photon B (Energy 9 units) - Result: n=1 to n=3
Photon C (Energy 8 units) - Result: not absorbed
Photon D (Energy 6 units) - Result: n=1 to n=2
To determine the matching result for each photon absorption, we need to understand the energy levels and transitions between them.
From the given information about the energies of the first few states of the unknown element, we can see that the energy levels decrease as the value of n increases. The energy of the highest level (n = infinity) is 0, which implies that electrons at that level have the highest energy and are most loosely bound to the atom.
Now, let's analyze each photon absorption:
A/11: In order to get an energy of 11, we need to go from 11 to zero. Since zero signifies the ionization or ejection of the electron, the correct matching result is "electron ejected."
B/9: To achieve an energy of 9, we can determine the transition by finding the difference between the energies. The energy level transition from 2 to 11 will give a difference of 9. Therefore, the correct matching result is "n=1 to n=3."
C/8: For an energy of 8, we need to examine the energy level transitions. The difference between 2 and 10 gives us an energy difference of 8. Hence, the correct matching result is "not absorbed."
D/6: To obtain an energy of 6, we can look at the energy level differences. The difference between 1 and 7 yields a value of 6. Therefore, the correct matching result is "n=1 to n=2."
To summarize:
- Photon A/11: electron ejected
- Photon B/9: n=1 to n=3
- Photon C/8: not absorbed
- Photon D/6: n=1 to n=2