Question

Why does the total energy of atom x decreases when there is a transfer of an electron from one subshell to another
@aaronq

Answer 1

Hello @eric_d !

Answer 2

When an electron gets transferred from a lower subshell to upper subshell then its kinetic energy decreases but its total energy increases

Answer 3

\[TE = -13.6*\frac{Z ^{2}}{n^{2}}ev/atom\]

Answer 4

here, n is the number of subshell. Now u can see that greater will be the value for n lesser will be the value of total energy in negative which implies that more will be the value of total energy

Answer 5

U didn't specified in ur question if it's upstepping or downstepping of electron ?
So total energy will decrease in case of downstepping

Answer 6

u getting my points ?

Answer 7

Yes, there are two possibilities for this question!
Upstepping & Downstepping

Answer 8

Don't mind explaning this... ' which implies that more will be the value of total energy'
@Abhisar

Answer 9

is the question clear to uh now ?

Answer 10

yes

Answer 11

That's great !
\(\color{green}{\huge\ddot\smile}\)

Answer 12

So, the answer is..due to increase in K.energy as the electrons are transferred frm higher subshell to a lower subshell
Is it so

Answer 13

Total energy decreases while stepping down

Answer 14

do u want me to xplain why it is so ?

Answer 15

yes

Answer 16

ohkay, what part in my above xplanation is giving you trouble ?

Answer 17

just want to clarify this first
kinetic.e is opposite of T.Energy

Answer 18

Yes the ratio of K.E : T.E for any electron is -1:1

Answer 19

which implies that more will be the value of total energy ?

Answer 20

Total energy is maximum for an electron when it's at n=\(\infty\), minimum when it is at n=1.

Answer 21

Kinetic energy is maximum for an electron when it at n=1, minimum when it is at n=\(\infty\)

Answer 22

got it ?

Answer 23

So, the answer is.. kinetic energy increases

Answer 24

answer for what ?

Answer 25

you mean to say that total energy decreases because kinetic energy increases ?

Answer 26

Yes

Answer 27

yes u can say that

Answer 28

Basically T.E = P.E + K.E,
now P.E = -\(\frac{KZe^{2}}{r}\) and K.E = \(\frac{KZe^2}{2r}\)

Answer 29

Now when u will add these up u will get the first formula i told uh

Answer 30

and i explained how first formula says that T.E decreases with a decrease in shell number and increases with increase in shell number

Answer 31

I hope it's not getting more confusing for uh !

Answer 32

Thanks for the explanation.
What is the other option besides increase in K.E for this question

Answer 33

I am not getting ur question !!

Answer 34

So, there is only one answer for this question

Answer 35

which is increase in Kinetic.E

Answer 36

See it's always best to explain these questions mathematically on the basis of a valid formula. But if u want to answer it conceptually u can say that Total energy increases because the sum of kinetic energy and potential energy increases.

Answer 37

is it clear ?

Answer 38

Yes, it's very clear!

Answer 39

Thanks @Abhisar

Answer 40

\(\color{red}{\huge\bigstar}\huge\text{You are Most Welcomed! }\color{red}\bigstar\)
\(~~~~~~~~~~~~~~~~~~~~~~~~~~~\color{green}{\huge\ddot\smile}\color{blue}{\huge\ddot\smile}\color{pink}{\huge\ddot\smile}\color{red}{\huge\ddot\smile}\color{yellow}{\huge\ddot\smile}\)

Answer 41

cute and colorful <3 @Abhisar good job!!!

Answer 42

Thnx @Somy !