Question

Use Coulomb's law to calculate the ionization energy in kJ/mol of an atom composed of a proton and an electron separated by 151.00 pm .What wavelength of light would have sufficient energy to ionize the atom?

Answer 1

I used Coulomb's law to get the force of attraction, which I got to be about 1.01E-8N, but I'm not sure how to find the Joules from there. Since to ionize, we are essentially moving the electron and the proton and "infinite" distance apart.

Answer 2

@abb0t

Answer 3

@Photon336

Answer 4

@joannablackwelder interesting question

\[\frac{ q_{1}q_{2}k }{ r^{2} } = F_{c}\]

q_{1} = charge proton
q_{2} = charge of electron

r = {distance between them}




\[E = \frac{ hc }{ \lambda }\]


\[\lambda = \frac{ hc }{ E }\]

@kainui

Answer 5

Thanks, @Photon336 , but how do you get from F to E?

Answer 6

without a distance of separation that they would need to be to be sufficiently away from each other?

Answer 7

Yeah, i'm thinking sufficient distance but i'm not sure how to find it. You know who might be able to help @Michele_Laino but she's not on

Answer 8

Thanks :-)

Answer 9

@chmvijay @aaronq @Cuanchi

Answer 10

@Kainui

Answer 11

@TheSmartOne

Answer 12

Pretty sure you just find the integral of the force versus distance (radius), which is "work", and integrate from 151 pm to infinity.

Answer 13

Ah!!! Thanks!

Answer 14

no problem!