Question

I am having so much difficulty with this lab report. Can someone help me with the calculations?

i Belum mm The Spectrum of Hydrogen Purpose: Determine the key beng constant wavelenghts of H-spectrum lines in the Buliner serits A) Balmer Series of H-spectrum Lines B) Measuring Considerations 3646,14 n=3 Rydbery generalization d= Sint-ma (diffraction grating ni dalla Å - Angstrem Igrave n', n = 1, 2, 3.. 1Å = 10 10 n = 2 Balmer series 295.2 = 10 cm use to getermine R=? Graph -0.1 nm A-from measurements (n-assigned by comparison of A Buliner the checks Rydberg eq, R = - slope=? Raat 109737 cm Num) x 10 che la X (cm) 1 2 = wave number! a-decimal Jeh le: 2 (0%) <0%> 10:=40*9 ta sino Arum Nâ) er met ons gerne har en la cm) RAW DATA : t. =130°00' measured D = arc degreest 8 144 00 144°03' 144°03' 144°02 14.02 are minutes (cecimal fraction 8 14453 144 53' 144055 ß 14640 146 45' 146°43' e.g. 15° 12 = 15.2° 152° 55' 115300' 153°00' m-diffraction order m=2 = sine 2X295.2 Xrum) x 10 h Xam) x 104 ) Alom vs 1 Irshan Inz tarc minutes 60 of are degree 2

Answer 1

Determining the wavelength of H-spectrum lines in the Balmer series:

λ_Balmer(Å) Table:

n	λBalmer(Å)
3	6563.052
4	4861.52
5	4340.643
6	4101.908

Determining the Rydberg's constant:

Calculation table:

i\θ	(θiSC)1	(θiSC)2	(θiSC)3	<θiSC>	θi=<θiSC>-θ0	Sin θi	λ(nm)	λ(Å)	Nearest λBalmer(Å)	n assigned	1/n2	1/λ(cm)
δ	144	144.05	144.05	144.0333	14.03333	0.24248635	410.7154	4107.154	4101.908	6	0.027778	2434.776
ɣ	144.8833333	144.8833333	144.9166667	144.8944	14.89444	0.25703909	435.3643	4353.643	4340.643	5	0.04	2296.927
β	146.6666667	144.75	144.7166667	145.3778	15.37778	0.26518217	449.1568	4491.568	4340.643	5	0.04	2226.394
α	152.9166667	153	153	152.9722	22.97222	0.39028481	661.0515	6610.515	6563.052	3	0.111111	1512.741

Plotting 1/λ(cm) vs 1/n²:

3000 2500 y = -10807x + 2709.1 2000 1500 1000 500 0 0 0.02 0.04 0.06 0.08 0.1 0.12

Slope= - 10807 cm^-1

Rydberg's constant, R= - Slope=10807 cm^-1

Taking n(assigned)=4 for β:

i\θ	(θiSC)1	(θiSC)2	(θiSC)3	<θiSC>	θi=<θiSC>-θ0	Sin θi	λ(nm)	λ(Å)	Nearest λBalmer(Å)	n assigned	1/n2	1/λ(cm)
δ	144	144.05	144.05	144.0333	14.03333	0.24248635	410.7154	4107.154	4101.908	6	0.027778	2434.776
ɣ	144.8833333	144.8833333	144.9166667	144.8944	14.89444	0.25703909	435.3643	4353.643	4340.643	5	0.04	2296.927
β	146.6666667	144.75	144.7166667	145.3778	15.37778	0.26518217	449.1568	4491.568	4861.52	4	0.0625	2226.394
α	152.9166667	153	153	152.9722	22.97222	0.39028481	661.0515	6610.515	6563.052	3	0.111111	1512.741

Plotting 1/λ(cm) vs 1/n²:

3000 2500 y=-10958x + 2779 2000 1500 1000 500 0 0 0.02 0.04 0.06 0.08 0.1 0.12

Slope= - 10958 cm^-1

Rydberg's constant, R= - Slope=10958 cm^-1

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