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An ion with mass number 37 possesses one...

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

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As the ion carries one unit of negative charge, it will have one  lectron more than the number of protons
Let the number of electrons `= x`
Number of protons `=x-1`
Number of neutrons `=x+(x xx11.1)/(100)=x+0.111x=1.111x`
Solving for the value of x,
`"rotons "+ "neutrons "=" mass number "`
`x-1=1.111x=37"   "x=(38)/(2.111)=18`
Number of  lectrons = 18
Number of protons `= 18 - 1 = 17`
Number of neutrons `= 37-17 = 20` 
The ion under discussion is chloride and its symbol is `Cl^(-)`
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