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Karnataka Board PUCPUC Science Class 11

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

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Question

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.

Numerical
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Solution

Let the number of electrons in the ion carrying a negative charge be x.

Then,

Number of neutrons present

= x + 11.1% of x

= x + 0.111 x

= 1.111 x

Number of electrons in the neutral atom = (x – 1)

(When an ion carries a negative charge, it carries an extra electron)

∴ Number of protons in the neutral atom = x – 1

Given,

Mass number of the ion = 37

∴ (x – 1) + 1.111x = 37

2.111x = 38

x = 18

∴ The symbol of the ion is `""_17^37" Cl"^(-)`.

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