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  3. a suppose hydrogen atoms absorb energy so that el

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

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Chemistry

a

Suppose hydrogen atoms absorb energy so that electrons areexcited to the  n = 7 energy level. Electronsthen undergo these transitions, among others:

(a)  n = 7 to  n =1

(b)  n = 7 to  n = 6

(c)  n = 2 to  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 → n=1?

h = 6.62 × 10-34 J·s

s-1

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Answer & Explanation Solved by verified expert
4.3 Ratings (861 Votes)

a) the smallest energy = b

    The highest frequency = a

    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,

            E = hv

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

          E = hc/l

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

b)

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


     n1 = 1 , n2 = 6

   1/wavelength = 109677(1/1^2-1/6^2)

             1/l   = 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)

   = 3.21*10^15 s-1
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