HW Help 1.25

[Janelle Magaling 3L]

Hi can someone help me with this question?

Sodium vapor lamps, used for public lighting, emit yellow
light of wavelength 589 nm. How much energy is emitted by
(b) 5.00 mg of sodium atoms emitting light at this wavelength

I solved (a) already, but got stuck on (b). What equation should I use considering the given units?

[Jane Burgan 1C]

Since you're given the amount of sodium in mg, convert this amount into moles by dividing 5.00 mg by the molar mass of sodium. Once you have the amount of sodium in moles, you can multiply this number by avogrado's number to get the number of sodium atoms in 5.00 mg. Finally, multiply your answer by the energy you got in part a. This will give you the amount of energy emitted by 5.00 mg of sodium.

[Destiny Diaz 4D]

I followed the process suggested and am not getting the answer offered in the solutions from the book, my answer is off by a few decimal points and was wondering if you could break down the process a bit more just so I can understand conceptually. Thank you so much <3

[Jeremy_Guiman2E]

Essentially, your set up would look like this: E = (5.00 x 10^-3 g Na) (1 mol Na / 22.99 g Na) (6.022 x 10²³ atoms/mol) (3.37 x 10^-19 J/atom) = 44.1 J

The 3.37 x 10^-19 J/atom comes from your answer in part a. Hope this helps!

[Destiny Diaz 4D]

Essentially, your set up would look like this: E = (5.00 x 10^-3 g Na) (1 mol Na / 22.99 g Na) (6.022 x 10²³ atoms/mol) (3.37 x 10^-19 J/atom) = 44.1 J

The 3.37 x 10^-19 J/atom comes from your answer in part a. Hope this helps!

Yes thank you <3