Question

EXPERIMENT 9: EMISSION SPECTRA OF HYDROGEN, HELIUM, AND MERCURY

Answer 1

? = d sin (tan^-1(b/a))

? = c / ?

c = 3 x 10⁸ m/s

E (J/photon) = h ?

h = 6.626 x 10^-34 kg m²/s

E (kJ/mol) = E (J/photon) * N_A / 1000

N_A = 6.022 x 10²³

Using above formulae we get the below table as:

Source & color of line	a (cm)	b (cm)	d (cm)	sin(tan-1(b/a))	? (cm)	? (s-1)	E (J/photon)	E (kJ/mol)	Rydberg ? (cm)	Spectrum
1. H(red) n=3 -> n=2	100	45.4	1/6000	0.41	6.89E-05	4.35E+14	2.89E-19	173.7	6.6E-05
2. H(blue) n=4 -> n=2	100	32.9	1/6000	0.31	5.21E-05	5.76E+14	3.82E-19	229.8	4.9E-05
3. H(violet) n=5 -> n=2	100	28.2	1/6000	0.27	4.52E-05	6.63E+14	4.39E-19	264.6	4.3E-05
4. He(yellow)	100	40.2	1/6000	0.37	6.22E-05	4.83E+14	3.20E-19	192.6
5. Hg(green)	100	37.4	1/6000	0.35	5.84E-05	5.14E+14	3.40E-19	205.0
6. H n = 2 -> n = 1									1.2E-05	UV
7. H n = inf -> n = 1									9.1E-06	UV
8. H n = 4 -> n = 3									1.9E-04	IR
9. H n = inf -> n = 3									8.2E-05	IR
10. H n = inf -> n = 2									3.6E-05	UV