Consider a large number of hydrogen atoms, with electrons all initially in the n = 4 state. (a) How

spazzter08dyk2n

spazzter08dyk2n

Answered question

2022-05-17

Consider a large number of hydrogen atoms, with electrons all initially in the n = 4 state. (a) How many different wavelengths would be observed in the emission spectrum of these atoms? (b) What is the longest wavelength that could be observed? (c) To which series does the wavelength found in (b) belong?

Answer & Explanation

rotgelb7kjxw

rotgelb7kjxw

Beginner2022-05-18Added 16 answers

(a).
Number of different wavelengths = 6
Possible transitions are
n=4 to n=3
n=4 to n=2
n=4 to n=1
n=3 to n=2
n=3 to n=1
n=2 to n=1
linziboobeary1o8p

linziboobeary1o8p

Beginner2022-05-19Added 3 answers

(b). write the Rydberg equation
1 λ = R ( 1 n 1 2 1 n 2 2 ) (  longest wavelength occurs for the transition n 2 = 4   t o   n 1 = 3 ) 1 λ = ( 1.09737 × 10 7 ) ( 1 3 2 1 4 2 ) = 533443.75   c m 1 λ = 1.875 × 10 6   m
(c).
This wavelength is from the Paschen series.

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