What is the wavelength (in nm) of radiation that has an energy content of 2.13x10^3 kJ/mol? In which region of the electromagnetic spectrum is this radiation found?
Can someone explain me this step by step? Thanks

Question

What is the wavelength (in nm) of radiation that has an energy content of 2.13x10^3 kJ/mol? In which region of the electromagnetic spectrum is this radiation found? 
Can someone explain me this step by step? Thanks

kira_yamato · Answer

$$E = \frac{hc}{\lambda}$$
Plug in E = 2.13 x 10^3

kira_yamato · Answer

Make sure you convert your units correctly.

anonymous · Answer

I was checking my equations and I have none with the hc together :o

kira_yamato · Answer

Do you have this equation?
$$E = h \nu$$

anonymous · Answer

E=hv yes

kira_yamato · Answer

$$\nu = \frac{c}{\lambda}$$ right?
Plug this into that equation (:

anonymous · Answer

that's another equation =.=

kira_yamato · Answer

It's like solving simultaneous equations
$$\nu = \frac{c}{\lambda}$$ ----(1)
$$E = h \nu$$ ----(2)
Plug (1) into (2)
$$E = \frac{hc}{\lambda}$$

anonymous · Answer

2.13x10^3 = 2.99792458x10^8m/s / wavelength

kira_yamato · Answer

Where's your h?

anonymous · Answer

uh oh then I have to use E=hc/λ

anonymous · Answer

what would h be then?

anonymous · Answer

I am given the Energy of the content

anonymous · Answer

+ I know the velocity of light

anonymous · Answer

Wouldn't I have to use E=hv instead?

anonymous · Answer

oh nvm.. I need the wavelength but what is h then D:

kira_yamato · Answer

h = 6.63 x 10^–34 J s

anonymous · Answer

Plank's .. got it

anonymous · Answer

after the calculation, how do I know in which region of the spectrum is this located?

anonymous · Answer

2.13x10^3 = (6.63x10^-34)(2.99792458x10^8) / wavelength

anonymous · Answer

wavelength = 1071631256066461335740540575.9149 or 1.07x10^27 hertz ?

anonymous · Answer

I feel like I'm doing it wrong ... the wavelength is too long! lol

anonymous · Answer

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