The question is incomplete , complete question is :
Microwave radiation has a wavelength on the order of 1.0 cm. Calculate the frequency and the energy of a single photon of this radiation. Calculate the energy of an Avogadro’s number of photons (called an einstein) of this electromagnetic radiation.
Answer:
The energy of an Avogadro’s number of photons of this electromagnetic radiation is 11.97 Joules.
Explanation:
[tex]E=\frac{h\times c}{\lambda}[/tex]
where,
E = energy of photon = ?
h = Planck's constant = [tex]6.626\times 10^{-34}Js[/tex]
c = speed of light = [tex]3\times 10^8m/s[/tex]
[tex]\lambda[/tex] = wavelength = [tex]1.0 cm = 0.01 m[/tex]
Now put all the given values in the above formula, we get the energy of the photons.
[tex]E=\frac{(6.626\times 10^{-34}Js)\times (3\times 10^8m/s)}{0.01 m}[/tex]
[tex]E=1.988\times 10^{-23}J[/tex]
Energy of the 1 mole of photons = E'
[tex]E'=E\times N_A[/tex]
[tex]E'=1.988\times 10^{-23}J\times 6.022\times 10^{23}=11.97 J[/tex]
The energy of an Avogadro’s number of photons of this electromagnetic radiation is 11.97 Joules.
