Please show the work to the following:
1a) A hydrogen electron transitions from ni= 4 to nf= 9. What is the change in energy associated with this transition? Is the energy released or absorbed?
1b) A hydrogen electron transitions from ni= 4 to nf=9. What is the wavelength associated with this transition? remember 63 had you calculate the frequency!)
1c) A hydrogen electron transitions from ni= 2 to nf= 1. What is the wavelength associated with this transition?
1d) A hydrogen electron transitions from ni= 3 to nf= 1. What is the wavelength associated with this transition?
1e) A hydrogen electron transitions from ni= 4 to nf= 1. What is the wavelength associated with this transition?
1) a ni = 4 and nf = 9
1/ = -R (1/nf2 - 1/ni2) R = Rydberg constant = 1.0974 x 107 /m
1/ = -1.0974 x 107 (1/92 - 1/42)
1/ = -1.0974 x 107 ( -65 /1296)
1/ = -71.331 x 107/1296 = 0.0550 x 107 /m
= 18.2 x 10-7 m
Frequency, f = C/ = 3 x 108 m/s / 18.2 x 10-7 m = 0.165 X 1015 /s = 165 x 1013 /s
deltaE = hc/
deltaE = 6.625 x 10-34 J x 3 x 108 m/s / 18.2 x 10-7 m
Change in energy, E = 1.092 x 10-19 J
Energy will be absorbed as there is transition from lower energy state to higher energy state and energy difference is positive
2) nf = 1 and ni = 2
1/ = -R (1/nf2 - 1/ni2) R = Rydberg constant = 1.0974 x 107 /m
1/ = - 1.0974 x 107 /m (1/12 - 1/22)
1/ = -1.0974 x 107 /m (3/4)
1/ = 0.82305 x 107 /m
= 1/0.82305 x 107 /m = 1.215 x 10-7 m
3) nf = 1 and ni = 3
1/ = -R (1/nf2 - 1/ni2) R = Rydberg constant = 1.0974 x 107 /m
1/ = - 1.0974 x 107 /m (1/12 - 1/32)
1/ = -1.0974 x 107 /m (8/9)
1/ = 0.9755 x 107 /m
= 1/0.9755 x 107 /m = 1.025 x 10-7 m
4) nf = 1 and ni = 4
1/ = -R (1/nf2 - 1/ni2) R = Rydberg constant = 1.0974 x 107 /m
1/ = - 1.0974 x 107 /m (1/12 - 1/42)
1/ = -1.0974 x 107 /m (15/16)
1/ = 1.029 x 107 /m
= 1/1.029 x 107 /m = 0.972 x 10-7 m
Please show the work to the following: 1a) A hydrogen electron transitions from ni= 4 to...
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