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calculate the total energy emitted when electrons of 1g atom of hydrogen undergo transition giving the spectral lines of lowest energy in the visible region of its atomic spectra

Asked by gargpuneet989 30th June 2018, 9:04 PM
Answered by Expert
Answer:
Given:
 
RH = 1.1 ×107 m-1 
 
C =3×108 m/s 
 
h = 6.26×10-34 Jsec
 
 
 
For space visible space line space spectrum comma

Balmer space series semicolon space straight n subscript 1 space 2 space
Minimum space energy space transition comma space straight n subscript 2 space equals space 3

1 over straight lambda space equals straight R subscript straight H space open square brackets 1 over straight n subscript 1 squared minus 1 over straight n subscript 2 squared close square brackets

1 over straight lambda space equals space 1.1 cross times 10 to the power of 7 open square brackets 1 over 2 squared minus 1 over 3 squared close square brackets

1 over straight lambda space equals space 1.1 cross times 10 to the power of 7 open square brackets 1 fourth minus 1 over 9 close square brackets

space space space space space equals space 1.1 cross times 10 to the power of 7 cross times open square brackets 5 over 36 close square brackets

1 over straight lambda space space equals 1.52 cross times 10 to the power of 6

straight lambda space space equals space 6.57 cross times 10 to the power of negative 7 end exponent space straight m

Energy comma space straight E space equals hc over straight lambda

space space space space space space space space space space space space space space space space equals fraction numerator 6.62 cross times 10 to the power of negative 34 end exponent cross times 3 cross times 10 to the power of 8 over denominator space 6.57 cross times 10 to the power of negative 7 end exponent end fraction

space space space space space space space space space space space space space space space space space equals fraction numerator 19.86 cross times 10 to the power of negative 26 end exponent over denominator space 6.57 cross times 10 to the power of negative 7 end exponent end fraction

space Energy comma space straight E space equals space 3.02 cross times 10 to the power of negative 19 end exponent space space straight J

apostrophe straight N apostrophe space electrons space show space transition space in space 1 space straight g space straight H space atom comma space

Energy space released space equals straight E cross times straight N

space space space space space space space space space space space space space space space space space space space space space space space space space equals space 3.02 cross times 10 to the power of negative 19 end exponent space cross times 6.023 cross times 10 to the power of 23

space space space space space space space space space space space space space space space space space space space space space space space space space space equals 18.19 space cross times 10 to the power of 4 space straight J

Energy space released space almost equal to 182 space k J
 
 
Energy emitted when electrons of a 1g atom of hydrogen undergo transition is 182 kJ.
Answered by Expert 2nd July 2018, 12:03 PM
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