I need help with A-D please (2) The CH2 CH CH CH CH CH2 molecule contains 6 carb

Question

I need help with A-D please

(2) The CH2 CH CH CH CH CH2 molecule contains 6 carbon atoms with co T-electrons. These T-electrons can be approximately treated as free particles in a 1D- box with total length L 0.84 nm. (a) Calculate the energy En at n 3 and n 4, respectively. (b) When one electron has a transition from n 3 to n 4 state by absorption oflight, what is the energy required? (c) What is the radiation frequency corresponding to this energy absorption? (d) What is the wave-length of this radiation? Plank's constant h 6.626 x 10.34 J s, electron mass m -9.1 x 1031 kg; light speed c-3 x105 m/s, 1 m- 10 nm) 30 points)

Explanation / Answer

Q2.

a)

Apply Rydberg Formula

E = R*(1/nf^2)

R = -2.178*10^-18 J

Nf = stage/level

E = Energy per unit (i.e. J/photon)

E = (-2.178*10^-18)*(1/4^2)

E = 1.3612*10^-19 J/particle

for n = 3

E = R*(1/nf^2)

E = (-2.178*10^-18)*(1/3^2)

E = 2.42 *10^-19 J/particle

b)

difference:

En3 - En3 =  2.42 *10^-19 -  1.3612*10^-19 =1.058*10^-19 J

c)

find Frequency

E = hv

v = E/h

h = Planck Constant = 6.626*10^-34 J s

v = (1.058*10^-19) / (6.626*10^-34)

v = 1.596*10^14 Hz

d)

WL = c/v

c = speed of particle (i.e. light) = 3*10^8 m/s

WL = ( 3*10^8 ) / ( 1.596*10^14) = 0.00000187969 m = 1879 nm

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