Consider a Bohr model of doubly ionized lithium. (a) Write an expression similar

Question

Consider a Bohr model of doubly ionized lithium.
(a) Write an expression similar to En = -13.6 eV/n^2 ? E2 = -13.6 eV/22 = -3.40 eV for the energy levels of the sole remaining electron. (Use the following as necessary: n.)
En = eV

(b) Find the energy corresponding to n = 5.

answer in eV

(c) Find the energy corresponding to n = 1.

answer in eV

(d) Calculate the energy of the photon emitted when the electron transits from the fifth energy level to the first energy level. Express the answer both in electron volts and in joules.
-answer in eV
-answer in J

(e) Find the frequency and wavelength of the emitted photon.
-answer in Hz
-answer in nm

Explanation / Answer

Using the Bohr model of ionized lithium b) Energy levels for the electrons is E = -13.6 / n^2 for n =5                        E = -13.6 / 25                            = -0544 eV c) Energy level where n =1                E = -13.6 /1^2                    = -13.6 eV d ) the energy of the photon emitted when the electron transits from the fifth energy level to the first energy level is           E_f - E_ i      E = -0.544 eV - (-13.6eV)           = 13.056 eV           = 13.056*1.6*10^-19 J           = 20.8*10^-19J fe) Frequency of the photon is E = h f                                              f = 20.8*10^-19J / 6.625*10^-34 J s                                                 = 3.15*10^15 Hz f ) wavelength of the photon is E = h c /                                                = 6.625*10^-34 J s * 3.00*10^ 8m/s / 20.8*10^-19 J                                                    = 95.5 *10^-9m                                                   = 95.5 nm                                                 

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.