Question

Calculate the wavelength (in nm) of a photon emitted during a transition corresponding to the first...

Calculate the wavelength (in nm) of a photon emitted during a transition corresponding to the first line in the Balmer series (nf = 2) of the hydrogen emission spectrum.

Homework Answers

Answer #1

"Balmer Series": from n = 5 to n = 2


energy of the photon with the frequency ν

E=hν

h = Planck's constant

For any state

En=−13.6 eV/n2

where −13.6 eV = ground-state energy of the hydrogen atom.

E2=−13.6 eV/4

=−3.4 eV

=−5.44 x 10^−19 J

E5 =−13.6 eV/25

=0.544 eV

=−8.7x 10^−20 J

So,

ΔE= E5 - E2

= 4.57 x 10^−19 J.

From the equation

E=hν

ν = (4.57 x 10^−19 J) /( 6.63 x10^−34J⋅s)

= 6.892 x 10^14 s−1

Speed of light c=λν

So,

λ= (3 x 10^8 m/s) / (6.892 x 10^14 s−1) × (10^9 nm/1 m)

=435 nm

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
(b). Determine the (i) longest and (ii) shortest wavelength lines (in nanometers) in the Paschen series...
(b). Determine the (i) longest and (ii) shortest wavelength lines (in nanometers) in the Paschen series of the hydrogen spectrum. In which region of the spectrum is the shortest- wavelength line? (c) Using the Balmer-Rydberg equation, calculate the value of n corresponding to the violet emission line (wavelength = 434.0 nm) in the Balmer series of the hydrogen emission spectrum.
What is the wavelength (in nanometers) of a photon emitted during a transition from ni =...
What is the wavelength (in nanometers) of a photon emitted during a transition from ni = 5 to nf = 3 state in the H atom?
The hydrogen atomic emission spectrum includes a UV line with a wavelength of 92.323 nm. Photons...
The hydrogen atomic emission spectrum includes a UV line with a wavelength of 92.323 nm. Photons of this wavelength are emitted when the electron transitions to nf = 1 as the final energy state. Show all steps and round answers to correct sig figs. a) Is this line associated with a transition between different excited states or between an excited state and the ground state? b) What is the energy of the emitted photon with wavelength 92.323 nm? c) What...
Calculate the energy of the emitted photon as well as the wavelength and frequency of electromagnetic...
Calculate the energy of the emitted photon as well as the wavelength and frequency of electromagnetic radiation emitted from the hydrogen atom when the electron undergoes the transition from n = 5 to n = 1. In what region of the spectrum does this line occur?
1) The last two visible line observed in the Balmer series are of the wavelength 434.0...
1) The last two visible line observed in the Balmer series are of the wavelength 434.0 nm and 410.2 nm. For each of the wavelength, a) Determine the frequency associated with the photon associated with this wavelength. b) Determine the amount of energy released by this photon. c) The Balmer series are the results of excited electron at higher level relaxing to the electronic level of principle quantum number of nf = 2. Determine the excited electronic level, ni, of...
1) The aqua color line of the Balmer series occurs at 486.1 nm, a) Determine the...
1) The aqua color line of the Balmer series occurs at 486.1 nm, a) Determine the frequency associated with the photon associated with this wavelength b) Determine the amount of energy released by this photon. c) The Balmer series are the results of excited electron at higher level relaxing to the electronic level of principle quantum number of nf = 2. Determine the excited electronic level, ni, of this electron. d) If this excited electron has the same wavelength as...
For a hydrogen atom, calculate the wavelength of an emitted photon in the Lyman series that...
For a hydrogen atom, calculate the wavelength of an emitted photon in the Lyman series that results from the transition n = 3 to n = 1. The Rydberg constant is 2.18 x 10^-18 J.
7) Calculate the energy of the photon emitted when a hydrogen atom undergoes a spin-flip transition....
7) Calculate the energy of the photon emitted when a hydrogen atom undergoes a spin-flip transition. How many such photons would it take to equal the energy of a single photon of wavelength 656.3 nm emitted by hydrogen (level 3 – level 2 transition)? 8) Suppose you discovered a star made purely of hydrogen and helium. How old do you think it would be? Explain your reasoning.
The wavelength 6.577 x 10^-5 cm is observed in the atomic emission spectrum of hydrogen. a....
The wavelength 6.577 x 10^-5 cm is observed in the atomic emission spectrum of hydrogen. a. Show that this is a transition line in the Balmer Series. b. What is the wavelength of the next higher-energy line?
Calculate the wavelength of the photon emitted when an electron makes a transition from n=5 to...
Calculate the wavelength of the photon emitted when an electron makes a transition from n=5 to n=3. You can make use of the following constants: h=6.626×10−34 J⋅s c=2.998×108 m/s 1 m=109 nm
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT