Question

Microwave radiation has a wavelength on the order of 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 1

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.

Step-by-step explanation:

`E=(h* c)/(\lambda)`

where,

E = energy of photon = ?

h = Planck's constant =
`6.626* 10^(-34)Js`

c = speed of light =
`3* 10^8m/s`

`\lambda` = wavelength =
`1.0 cm = 0.01 m`

Now put all the given values in the above formula, we get the energy of the photons.

`E=((6.626* 10^(-34)Js)* (3* 10^8m/s))/(0.01 m)`

`E=1.988* 10^(-23)J`

Energy of the 1 mole of photons = E'

`E'=E* N_A`

`E'=1.988* 10^(-23)J* 6.022* 10^(23)=11.97 J`

The energy of an Avogadro’s number of photons of this electromagnetic radiation is 11.97 Joules.