R (the Rydberg constant) can be expressed in several ways with different units.

Question

R (the Rydberg constant) can be expressed in several ways with different units. Using the following equation calculate a value for R in cm^-1 (i.e. 1/cm). This calculation requires careful attention to units. m = 9.11 times 10^-28 g e = 4.80 times 10^10 esu c = 3.00 times 10^10 cm/sec h = 6.62 times 10^-27 erg*sec also 1 erg = 1 a cm^2/sec^2 1 esu^2 = 1 erg*cm Show full calculation with COMPLETE UNIT ANALYSIS for full credit, (use back of page or separate paper) Use any valid equation and value for R: Calculate the wavelength in nanometers for the transition from n_i = 5 to n_f = 2. Is this wavelength in the visible region ? Is energy given off or absorbed in this transition?

Explanation / Answer

a) wavenumber = 109677((1/2^2)-(1/5^2))

          = 23032.17 cm-1

1/wavenumber = wavelength = 1/23032.17 =4.3417532954993*10^-5 cm

wavelength = 434 nm

b) yes it is visible region

c) as electron jumps from 5 to 2 , it releases energy.

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