Question

In: Chemistry

One of the emission lines of the hydrogen atom has a wavelength of 93.07 nm. In...

One of the emission lines of the hydrogen atom has a wavelength of 93.07 nm. In what region of the electromagnetic spectrum is this emission found? Determine the initial value of n associated with this emission.

Expert Solution

One of the emission lines of the hydrogen atom has a wavelength of 93.07 nm

wavelength between 90 - 400nm . It is UV region

The region of the electromagnetic spectrum is this emission found ultraviolent region

nf = 1

= 93.07nm = 93.07*10^-7 cm

RH = 109737cm^-1

1/ = RH( 1/nf^2 - 1/ni^2)

1/93.07*10^-7 = 109737(1/(1)^2 - 1/(ni)^2 )

107446 = 109737(1- 1/ni^2)

107446/109737 = (1-1/ni^2 )

0.979 = 1-1/ni^2

0.979-1 = -1/ni^2

-0.021 = -1/ni^2

ni^2 = 1/0.021

ni^2 = 49

ni = 7

The initial value of n associated with this emission ni = 7

queen_honey_blossom answered 2 years ago

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