a Suppose hydrogen atoms absorb energy so that electrons are excited to theÂ Â n = 7 energy level....

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Chemistry

a
Suppose hydrogen atoms absorb energy so that electrons areexcited to theÂ Â n = 7 energy level. Electronsthen undergo these transitions, among others:
(a)Â Â n = 7 toÂ Â n =1
(b)Â Â n = 7 toÂ Â n = 6
(c)Â Â n = 2 toÂ Â n = 1
Enter the letter (a, b, or c) for each.
the smallest energy?
the highest frequency?
the shortest wavelength?
b
What is the frequency of a photon resulting from the transitionn=6 â†’ n=1?
h = 6.62 Ã— 10-34 JÂ·s
s-1
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Answer & Explanation Solved by verified expert

4.3 Ratings (861 Votes)

a) the smallest energy = b

Â Â Â The highest frequency = a

Â Â Â The shortest wavelength = a

note: by increasing no of energy levels,the energy of each level increases and the energy gap between the levels decreases.so that, smallest energy is n=7 to n=1.

weknowthat,

Â Â Â Â Â Â Â Â Â Â Â E = hv

Â Â Â Â Â Â Â Â Â Â v = frequency , (frequency is directly proportional to energy)

Â Â Â Â Â Â Â Â Â E = hc/l

Â Â Â Â Â l = wavelength. (wavelength is inversely proportional to energy)

wavenumber = 1/wavelength = 109677(1/n1^2-1/n2^2) cm-1

Â Â Â Â n1 = 1 , n2 = 6

Â Â 1/wavelength = 109677(1/1^2-1/6^2)

Â Â Â Â Â Â Â Â Â Â Â Â 1/lÂ Â = 1.07*10^5 cm-1

c = vl

v =frequency = c/l

c = 3*10^10 cm/s

1/l = 1.07*10^5 cm-1

v = (3*10^10)*(1.07*10^5)

Â Â = 3.21*10^15 s-1

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