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15 Nov 2019

We are supposed to calculate (approximatly) what n level each hydrogen emission start at. We know they all end at 2. This is what I have got so far but I am stuck on how to apply the calculations for the n level. Help!

Table 2: Spectroscope Calibration

Hg λ

Scale

Violet: 404.7

4.4

Blue: 435.8

4.5

Green: 546.1

5.9

Yellow: 579.0

7.0

Table 3: H spectra

Color

Scale (x)

λ (nm)

n-level

Violet

4.2

409nm

Blue

4.4

422nm

Green

4.9

455nm

Red

5.8

515nm


Calculations

Energy of N levels

Wavelength using calibration curve

E

Equation 2

n-level

-2.18 x 10^-18J (1/3²) = -2.42 x 10^-19 J

Violet: 66(4.2) + 132 = 409nm

(6.63 x 10⁻³⁴)(3 x 10⁸)409 x 10⁻⁹= 4.86 x 10^-19

-2.18 x 10^-18J[(12²) - (13²)] = -3.03 x 10^-19

-2.18 x 10^-18 (1/4²) = -1.36 x 10-19 J

Blue: 66(4.5) + 132 = 422nm

(6.63 x 10⁻³⁴)(3 x 10⁸)422 x 10⁻⁹= 4.71 x 10^-19

-2.18 x 10^-18J[(12²) - (14²)] = -5.68 x 10^-20

-2.18 x 10^-18 (1/5²) = -8.72 x 10^-20 J

Green: 66(4.9) + 132 = 455nm

(6.63 x 10⁻³⁴)(3 x 10⁸)455 x 10⁻⁹= 4.37 x 10-19

-2.18 x 10^-18J[(12²) - (15²)] = -1.19 x 10^-20

-2.18 x 10^-18(1/6²) = -6.06 x 10^-20 J

Red: 66(5.8) + 132 = 515nm

(6.63 x 10⁻³⁴)(3 x 10⁸)515 x 10⁻⁹= 3.86

x 10^-19

-2.18 x 10^-18J[(12²) - (16²)] = -2.65 x10^-21

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