9. Quantum Mechanics

The Energy of Light

9. Quantum Mechanics

# The Energy of Light - Video Tutorials & Practice Problems

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The **Energy of Light **involves the use of a new variable *Planck's Constant*.

Light as Particles

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## The Energy of Light

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## The Energy of Light Example 1

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## The Energy of Light

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## The Energy of Light Example 2

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Problem

ProblemCalculate the energy (in nJ) of a photon emitted by a mercury lamp with a frequency of 6.88 x 10^{14} Hz.

A

5.46 x 10

^{-9}nJB

9.89 x 10

^{-9}nJC

2.89 x 10

^{-10}nJD

4.56 x 10

^{-10}nJ7

Problem

ProblemA light ray has a wavelength that is 835 µm contains 6.32 x 10^{-3} J of energy. How many photons does this light ray have?

A

7.98 x 10

^{18}photonsB

4.85 x 10

^{19}photonsC

9.48 x 10

^{18}photonsD

2.65 x 10

^{19}photons8

Problem

ProblemHow much energy (in kJ) do 4.50 moles of photons contain at a wavelength of 705 nm?

A

2.58 x 10

^{2}kJB

7.64 x 10

^{2}kJC

8.45 x 10

^{2}kJD

5.89 x 10

^{2}kJ## Do you want more practice?

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PRACTICE PROBLEMS AND ACTIVITIES (51)

- Which wave corresponds to higher energy radiation? (LO 5.1) (a) (b)
- What is the energy (in kJ) of one mole of photons of ultraviolet light with a wavelength of 85 nm? (LO 5.3) (a...
- Where does the energy come from to evaporate the esti- mated 425,000 km3 of water that annually leaves the oce...
- The dissociation energy of a carbon-bromine bond is typically about 276 kJ/mol. (a) What is the maximum wavele...
- (b) Use the energy requirements of these two pro- cesses to explain why photodissociation of oxygen is more im...
- If human height were quantized in 1-cm increments, what would happen to the height of a child as she grows up:...
- (a) Calculate the energy of a photon of electromagnetic radiation whose frequency is 2.94 * 1014 s - 1.
- (b) Calculate the energy of a photon of radiation whose wavelength is 413 nm.
- (b) What is the energy of one of these photons?
- (c) The laser pointer emits light because electrons in the material are excited (by a battery) from their grou...
- An AM radio station broadcasts at 1000 kHz and its FM partner broadcasts at 100 MHz. Calculate and compare the...
- One type of sunburn occurs on exposure to UV light of wavelength in the vicinity of 325 nm. (d) These UV photo...
- One type of sunburn occurs on exposure to UV light of wavelength in the vicinity of 325 nm. (c) How many phot...
- Alcohol-based fuels for automobiles lead to the production of formaldehyde (CH2O) in exhaust gases. Formaldehy...
- Calculate the energy of a photon of electromagnetic radiation at each of the wavelengths indicated in Problem ...
- Calculate the energies of the following waves in kilojoules per mole, and tell which member of each pair has t...
- Calculate the energy of a photon of electromagnetic radiation at each of the frequencies indicated in Problem ...
- A laser pulse with wavelength 532 nm contains 3.85 mJ of energy. How many photons are in the laser pulse?
- A heat lamp produces 32.8 watts of power at a wavelength of 6.5 µm. How many photons are emitted per second? (...
- Determine the energy of 1 mol of photons for each kind of light. (Assume three significant figures.) a. infrar...
- What is the energy of each of the following photons in kilojoules per mole? (a) v = 5.97 * 1019 s-1 (b) v = 1....
- How much energy is contained in 1 mol of each? a. X-ray photons with a wavelength of 0.135 nm b. g-ray photons...
- According to the equation for the Balmer line spectrum of hydrogen, a value of n = 3 gives a red spectral line...
- The rate of solar energy striking Earth averages 168 watts per square meter. The rate of energy radiated from ...
- Ultraviolet radiation and radiation of shorter wavelengths can damage biological molecules because these kinds...
- The human eye contains a molecule called 11-cis-retinal that changes shape when struck with light of sufficien...
- Ionization involves completely removing an electron from an atom. How much energy is required to ionize a hydr...
- The concentration of H2O in the stratosphere is about 5 ppm. It undergoes photodissociation according to: H2O1...
- If a sample of calcium chloride is introduced into a nonluminous flame, the color of the flame turns to orang...
- The watt is the derived SI unit of power, the measure of energy per unit time: 1 W = 1 J>s. A semiconductor...
- A 5.00-mL ampule of a 0.100-M solution of naphthalene in hexane is excited with a flash of light. The naphthal...
- A laser produces 20.0 mW of red light. In 1.00 hr, the laser emits 2.29 * 1020 photons. What is the wavelength...
- A particular laser consumes 150.0 watts of electrical power and produces a stream of 1.33 * 1019 1064-nm photo...
- Consider the electronic structure of the element bismuth. (a) The first ionization energy of bismuth is Ei1 = ...
- A photovoltaic cell contains a p–n junction that that converts solar light to electricity. An optimum semicon...
- Iron is commonly found as Fe, Fe2+, and Fe3+. (c) The third ionization energy of Fe is Ei3 = +2952 kJ/mol. Wha...
- One watt (W) is equal to 1 J/s. Assuming that 5.0% of the energy output of a 75 W light bulb is visible light ...
- Microwave ovens work by irradiating food with microwave radiation, which is absorbed and converted into heat. ...
- Red light with a wavelength of 660 nm from a 3.0 mW diode laser shines on a solar cell. (b) How much current...
- How are wavelength, frequency, and energy related for photons of light?
- What is the longest wavelength of radiation with enough energy to break carbon-carbon bonds?
- Hospital X-ray generators emit X-rays with wavelength of about 15.0 nanometers (nm), where 1nm = 10−9 m. What ...
- Calculate the energy of the violet light emitted by a hydrogen atom with a wavelength of 410.1 nm.
- A bright violet line occurs at 435.8 nm in the emission spectrum of mercury vapor. what amount of energy, in j...
- How much energy (in kJ) do 3.0 moles of photons, all with a wavelength of 655 nm, contain?
- Calculate the energy of the orange light emitted, per photon, by a neon sign with a frequency of 4.89 × 1014 H...
- Calculate the energy of the green light emitted, per photon, by a mercury lamp with a frequency of 5.49 × 1014...
- Calculate the energy of a photon of electromagnetic radiation at each of the following frequencies.
- What is the longest wavelength of radiation that possesses the necessary energy to break the bond?
- Calculate the energy of a photon of electromagnetic radiation at each of the following wavelengths.
- How much energy is contained in 1 mol of each of the following?