just number 4 please explain to the best of your abilities this is important int
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just number 4 please explain to the best of your abilities this is important interested in learning
CHMIOSo 1 March 2018 Quiz &,Subject Matter Chemistry The World of Maner, Unit V -Take Home The quiz is worth S0 points of those that make up the semester grade, and due back at the beginning of class the Monday right after Spring Break (don't forget to do possible, point breakdowns have been explained. Show all work where necessary for full credit. i r n o the back of the final age ou turn in. Do not sign your name it) Where on the front yes I do) of the quiz tif you do, you lose 2 points-and I mean it, oh yes, oh yes, ob (10 points): Concerning energies and frequency What is the threshold frequency of a photon from an element with an a b. energy of 2.51x10 1 What is the energy of a photon with a frequency of 4.74 x 10 /see? 2. (10 points): Concerning radiation: a What is the frequency of radiation with a wavelength of 7.30x10 mi of 7.30x10m? b. What is the wavelength of radiation with a frequency of 6.22 x 10 sec? . (10 points): In 50 words or less, why is the same does of ultraviolet radiation more dangerous than gamma radiation? (10 points): Concermning quantum numbers a. What are all the quantum numbers that can be generated from the single (10 points): Concerning numbers secondary quantum number of 3? Which of the four quantum numbers is independent of all the others? b. (10 points) Concerning the Rydberg equation a. What is the wavelength of a spectral line where ni 2 and n 5) b. What is the wavelength of a spectral line where ni 3 and no 4Explanation / Answer
Before answering question 4 we will try to understand quantum numbers
To identify any electron in an atom we need to know to all four quantum numbers. Which are
1) Principle quantum number (n) : This quantum number helps to find out elctron is in which main shell. Here each shell corresponding to particular energy. So with help of principle quantum number we can also find the energy of shell. It has only positive integral values like (1,2,3, . . . , n). Commonly labelled as K (n=1), L (n=2), M(n=3), ... shells
2) Secondary quantum number (l) : This quantum number helps to find in which subshell electron is present. For each primary shell (n) there are l = 0,1,2,3,.... , n-1 subshells. Total 'n' number of subshells
l = 0 1 2 3 4 ...
s p d f g ....
For example n = 1, l = (n-1) = 0. So there are no other subshells except single shell l = 0.
n= 3 , l = 0, 1, 2 . So there are total 3 subshells. s (l=0), p(l=1) , d (l=2).
3) Magnetic quantum number (ml) : This helps to find in which orbital electron is present. Each subshell (l) is divided into 2l+1 orbitals. For each 'l' there will be ml values {-l, -(l-1), -(l-2), ...,0, ... ,(l-2), (l-1), l}
example l=1 has three ml values -1, 0, 1 So for p subshell there are three orbitals. l=2 has five ml values -2,-1,0,1,2 So d subshell has 5 orbitals.
4) Spin quantum number (ms) : This helps to find the spin state of electron. According to Pauli's exclusion principle, Each orbital can accommodate only two electrons, one with clockwise spin (ms= +1/2) and other with anti-clockwise spin (ms = -1/2).
With this knowledge, we will try to identify electron with quantum number set , n=3, l=2, ml= 1, ms = +1/2
n=3 means it is third shell, l=2 means electron is in 'd' subshell that is electron is in 3d subshell
ml= 1 and ms = +1/2 means it is in orbital with magnetic quantum number 1 and having clockwise spin.
Now will solve question 4:
a) Given l =3 , from this we can generate ml and ms only because we can not predict the primary quantum number.
l= 3 can have seven (2l+1) ml values -3,-2,-1,0,1,2,3 and each ml value can have two spin quantum number vaules (either +1/2 or -1/2)
b) Spin quantum number is independent from all other quantum numbers. Secondary quantum number is dependent on primary quantum number and vice versa as maximum value of 'l' is decided by 'n' value.
For example n=3 shell can not have subshell l= 4 and
l= 2 cannot belong to n=2 shell
So 'n' and 'l' are interdependent.
Similarly maximum value of 'ml' is decided by 'l' value which is again decided by 'n' value.
So these three quantum number are interdependent.
But spin quantum number can take only either of two values +1/2 or -1/2 independent of n, l , ml values.
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