Chemistry help?

I got the first part of the problem, but I don't understand what to do with the second.

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1 Answer
Aug 7, 2018

lambda ~~ 1.88 xx 10^(-6) color(white)(l) "m"

Explanation:

Physicist Rydberg generalized for hydrogen the reciprocal of emission spectrum wavelengths (in a vacuum) 1//lambda_"vac" due to the transition of an electron with the Rydberg Formula:

1/lambda_"vac" = R_"H" * (1/n_"lower" - 1/n_"upper")

where n_"upper" and n_"lower" principal quantum numbers (shell index numbers) for the electron; R_"H" is the Rydberg Constant for hydrogen atoms and takes the value of

R_"H" = 1/(912 xx 10^(-10) color(white)(l) "m")

For this particular transition

  • n_"upper" = 4
  • n_"lower" = 3

Thus

1/lambda_"vac" = 1/(912 xx 10^(-10) color(white)(l) "m") * (1/(3^2) - 1/(4^2))
color(white)(1/lambda_"vac") ~~ 1.88 xx 10^(-6) color(white)(l) "m"