Question

23. Photons and Energy

A. A certain source emits radiation of wavelength 500.0 nm. Determine its frequency. Calculate the energy associated with this photon at 500.0 nm.

B. If it takes 3.36 x 10-19 J of energy to eject an
electron from the surface of a certain metal, Calculate the
frequency of this energy and the longest possible wavelength in
nm.

C. Ionization energy is the energy required to remove
an electron from an atom in the gas phase. The ionization energy of
gold is 890.1 kJ/mol. Calculate the minimum wavelength of light
that will ionize gold.

Answer #1

A]

Convert nm to m:

500.0 nm = 500.0 x 10¯9 m = 5.000 x 10¯7 m

Determine the frequency:

1) λν = c

(5.000 x 10¯7 m) (x) = 3.00 x 108 m/s

x = 6.00 x 1014 s¯1

2) Determine the energy:

E = hν:

x = (6.626 x 10¯34 J s) (6.00 x 1014 s¯1)

x = 3.9756 x 10¯19 J

B]

E = hν

3.36 x 10-19 J = (6.626 x 10¯34 J s) (x)

x = 5.071 x 1014 s¯1

2) Determine the longest possible wavelength:

λν = c

(x) (5.071 x 1014 s¯1) = 3.00 x 108 m/s

x = 5.916 x 10¯7 m

**Wavelength = 592 nm**

C]

E / atom = (890.1 x 10E03) / (6.02 x 10E23)

= 1.479 x 10^{-18} J / atom

E = (1.48 x 10^{-18})

= (6.64 x 10^{-34} x 3 x 10^{8}) / (1.48 x
10^{-18})

= 134.6 x 10^{-9} m

**= 134.6 nm**

In two-photon ionization spectroscopy, the combined energies
carried by two different photons are used to remove an electron
from an atom or molecule. In such an experiment a
aluminum atom in the gas phase is to be ionized by
two different light beams, one of which has wavelength
395 nm. What is the maximum wavelength for the
second beam that will cause two-photon ionization?
Hint: The ionization energy of aluminum is
577.6 kJ/mol
nm?

In two-photon ionization spectroscopy, the combined energies
carried by two different photons are used to remove an electron
from an atom or molecule. In such an experiment a copper atom in
the gas phase is to be ionized by two different light beams, one of
which has wavelength 327 nm. What is the maximum wavelength for the
second beam that will cause two-photon ionization? Please answer in
nanometers
Hint: The ionization energy of copper is 745.4 kJ/mol please

If it takes 3.36 x 10^-9 J of energy to eject an electron from
the surface of a certain metal, calculate the frequency of this
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Please explain
and
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What were the principal quantum numbers of the initial and
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What is the wavelength, in nm, of radiation that has an energy
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