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CBSE Class 11-science Answered

A single electron in an ion has ionisation energy equal to 217.6 ev what is the total no. Of neutrons present in it
Asked by ashutosh25807 | 06 Feb, 2018, 07:02: AM
answered-by-expert Expert Answer
Strategy:
 
If we want to find out the no. of protons first
 
1) find out the at no. 
 
2) then u know the mass no.
 
3) by subtracting mass no. and atomic no. we will get no. of neutrons.
 
F o r m u l a colon
I o n i s a t i o n space e n e r g y space equals space Z squared R subscript H space space 1 over n squared

G i v e n colon

R subscript H space equals space 13.6 e V

F o r space sin g l e space e l e c t r o n space s p e c i e comma space n equals 1

S o l u t i o n colon
I o n i s a t i o n space e n e r g y space equals space Z squared R subscript H space space 1 over n squared

space space space space space space space space space space space space space space space space space space space 217.6 space equals space fraction numerator Z squared cross times 13.6 over denominator 1 squared end fraction

space space space space space space space space space space space space space space space space space space space space space space space space Z to the power of 2 space space space end exponent equals space fraction numerator 217.6 over denominator 13.6 end fraction space space equals space 16

space l e t s space t a k e space s q u a r e space r o o t space w e space g e t comma
space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space Z space equals space 4

H e r e space Z equals space a t o m i c space n u m b e r space equals space n o. space o f space e l e c t r o n s equals space n o. space o f space p r o t o n s space equals space 4

I n space p e r i o d i c space t a b l e space Z equals space 4 space i s space f o r space B e

A n d space A t o m i c space m a s s space n o. space o f space B e space equals space 9

H e n c e comma space A equals space P space plus space N

space space space space space space space o r space space N equals space A space minus space P

space space space space space space space therefore space N space equals space 9 space minus space 4 space equals space 5

T o t a l space n o. space o f space p r o t o n s space p r e s e n t space i n space i t space i s space space 5
Answered by Ramandeep | 06 Feb, 2018, 09:54: AM
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