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.
frequency
1.)Hz energy?
2.)J/photon?
Calculate the energy of an Avogadro's number of photons (called an einstein) of this radiation
3.) J/mol
2007-01-24 14:02:00 · 2 answers · asked by Moe 2 in Science & Mathematics ➔ Chemistry
speed of light = frequency * wavelength
Energy = h * frequency
frequency = 3 * 10^8 / 1*10^-2 = 3*10^10
energy = (6.626 * 10^-24) (3*10^10) = 1.9878 * 10^-13 J/photon
energy per mol = energy per photon * photons per mol
1.9878*10^-13 * 6.022 * 10^23 = 1.19 * 10^11 J/mol
2007-01-24 14:11:41 · answer #1 · answered by LGuard332 2 · 0⤊ 0⤋
There are 2 basic equations you need to use.
The first relates speed, wavelength and frequency.
Speed = frequency x wavelength
All EM waves travel at the speed of light, so that is a constant of 3x10E10 cm/sec.
The formula you need is 3x10E10 cm/sec = freq. x 1.0 cm.
The frequency will be 3x10E10 / sec. or 3x10E10 Hz.
The energy formula equates frequencey and energy.
E= h x freq, where h is Planck's constant 6.63x10E-34 JxSec
multiplythis constant by your frequency and you will have the energy in joules / photon.
multiply this energy by avogadro's # (6.02 x10E23) and you are done.
2007-01-24 22:12:06 · answer #2 · answered by reb1240 7 · 1⤊ 0⤋