An emission line of sodium has a wavelength of 330 nm. Calculate the energy of a photon of light emitted in J/ atom, and the energy emitted per mole of Na atoms at this wavelength.

The energy of the photon of light emitted is and energy emitted per mole of sodium atoms is

Explanation:

The relation between energy and wavelength of light is given by Planck's equation, which is:

where,

E = energy of the photon

h = Planck's constant =

c = speed of light =

= wavelength of photon = 330 nm =     (Conversion factor:   )

Putting values in above equation, we get:

To calculate the energy emitted per mole of sodium atom, we use the equation given by Planck's equation, which is:

where,

E = energy of the photon

= Avogadro's number =

h = Planck's constant =

c = speed of light =

= wavelength of photon = 330 nm =

Putting values in above equation, we get:

Hence, the energy of the photon of light emitted is and energy emitted per mole of sodium atoms is

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