Question #f8bdb
1 Answer
Explanation:
The first thing to do here is to figure out the energy of a single photon by using the Planck - Einstein relation
#color(blue)(bar(ul(|color(white)(a/a)color(black)(E = h * nu)color(white)(a/a)|)))#
Here
You know that the photon has a frequency of
#E = 6.626 * 10^(-34)"J" color(red)(cancel(color(black)("s"))) * 6 * 10^(14)color(red)(cancel(color(black)("s"^(-1))))#
#E = 3.98 * 10^(-19)"J"#
Now, one mole of photons consist of exactly
This means that the energy of one mole of photons will be
#6.022 * 10^(23) color(red)(cancel(color(black)("photons"))) * (3.98 * 10^(-19)"J")/(1color(red)(cancel(color(black)("photon")))) = color(green)(bar(ul(|color(white)(a/a)color(black)(2.4 * 10^(5)"J")color(white)(a/a)|)))#
I'll leave the answer rounded to two sig figs, but keep in mind that you only have one significant figure for the frequency of a photon.