. Om of the emission spectral lines for Be'" has a wavelength of 253.4 nm for an electronic transition that begins in the n= 5 energy state. What is the principal quantum number of the lower energy state corresponding to this emission? 253.4nm= 253.4 x10

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Chapter1: Chemical Foundations
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For the part circled in red where we are converting to nm , why do we multiply by 10^-9 m instead of dividing by 10^9 nm? I noticed in other problems we use 1m/10^9 nm as conversion factor, but in this one that gives us the wrong answer. That is the only question for this problem. 

2 One of the emission spectral lines for Be" has a wavelength of 253.4 nm for an electronic
transition that begins in the n = 5 energy state. What is the principal quantum number of the
Tower energy state corresponding to this emission?
3+
Am
253.40m= 253,4 ×10
%3D
E=
2.
(6.626x10:(.998 ×10 )s
- 34
9.998x10s
E3=
= 7,8445x10y
253.4x10-
.178 x 1018
n°fFinal n°initial
since energy is
released
hitial Ny = 5
2=atamis # of Be
キ=4
-7.8445x109
%3D
42
145x10-19=-2.178×1018
42
52
253.4am
10-9
%3D
-20178×10-18
16
1
Inm
4.
0,64
+0.64
602%3=
3602 =
25
+0.64
In=4
1.0002= 16
72
O 1.000an2 = 16
Page 1 of 4
1.0002
1.0002=DJna=\
2.
Transcribed Image Text:2 One of the emission spectral lines for Be" has a wavelength of 253.4 nm for an electronic transition that begins in the n = 5 energy state. What is the principal quantum number of the Tower energy state corresponding to this emission? 3+ Am 253.40m= 253,4 ×10 %3D E= 2. (6.626x10:(.998 ×10 )s - 34 9.998x10s E3= = 7,8445x10y 253.4x10- .178 x 1018 n°fFinal n°initial since energy is released hitial Ny = 5 2=atamis # of Be キ=4 -7.8445x109 %3D 42 145x10-19=-2.178×1018 42 52 253.4am 10-9 %3D -20178×10-18 16 1 Inm 4. 0,64 +0.64 602%3= 3602 = 25 +0.64 In=4 1.0002= 16 72 O 1.000an2 = 16 Page 1 of 4 1.0002 1.0002=DJna=\ 2.
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