00:01
So for this question, we're given an ionization energy for rubidium as 403 kilojoules per mole.
00:07
We want to know if x -rays with a wavelength of 85 nanometers have sufficient energy to ionize the rubidium.
00:15
So first thing is we want to take that wavelength of 85 nanometers, we're going to convert that into meters.
00:24
So since nano means a billionth of, that would be 85 .10 to the negative ninth meters.
00:31
And then we're going to utilize the energy equation that the energy of a photon is equal to hc over lambda, where h is planck's constant 6 .626 times 10 to the negative 34th joule seconds.
00:44
C is the speed of light 2 .998 times 10 to the eighth meters per second.
00:50
And lambda is the wavelength which has to be in meters because we have a speed of light in meters per second.
00:58
So we have to have this in meters, which is why we converted 85 nanometers to 85 times 10 to the negative ninth meters.
01:06
So when we calculate that value, we get the energy of a single photon in units of joules per photon, where the ionization energy was given to us in kilojoules per mole of photons.
01:20
So that means we're going to take that value that we were given in joules per photon, and we're going to use the conversion factors in order to get that to be in joules per mole.
01:34
So first up is we're going to convert one single photon into moles of photons...