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Structure Of Atom

Question
CBSEENCH11005219

An ion with mass number 37 possesses one unit of negative charge. If the ion contains 11.1 % more neutrons than the electrons, find the symbol of the ion. 

Solution
Since the ion carries one unit negative charge, it means that in the ion, the number of electrons is one more than the number of protons. Let the number of electrons in the tube =x
No. of neutrons  = straight x plus fraction numerator 11.1 over denominator 100 end fraction cross times straight x space equals space 1.111 space straight x
Number of electrons in the neutral atom  = x - 1
therefore                             Number of protons = x  -1
Mass No. = No. of neutrons  + No. of protons
         37 = 1.111x + x - 1
or      38 = 2.111x     or space space space straight x space equals space fraction numerator 38 over denominator 2.111 end fraction space equals space 18
space space therefore space space space Number space of space protons space equals space Atomic space number
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 space space space space space equals space straight x space minus 1 space equals space 18 minus 1 space equals space 17
Thus comma space atomic space number space of space the space elements space is space 17 space which space corresponds space to space chlorine.
space space space
therefore  Symbol of the ion is Cl presubscript 17 presuperscript 37-.