Question.
An ion with mass number 56 contains 3 units of positive charge and 30.4% more neutrons than electrons. Assign the symbol to this ion.
An ion with mass number 56 contains 3 units of positive charge and 30.4% more neutrons than electrons. Assign the symbol to this ion.
Solution:
Let the number of electrons present in ion $\mathrm{A}^{3+}$ be $x$.
$\therefore$ Number of neutrons in it $=x+30.4 \%$ of $x=1.304 x$
Since the ion is tripositive,
$\Rightarrow$ Number of electrons in neutral atom $=x+3$
$\therefore$ Number of protons in neutral atom $=x+3$
Given,
Mass number of the ion $=56$
$\therefore(x+3)+(1.304 x)=56$
$2.304 x=53$
$x=\frac{53}{2.304}$
$x=23$
$\therefore$ Number of protons $=x+3=23+3=26$
$\therefore$ The symbol of the ion ${ }_{26}^{56} \mathrm{Fe}^{3+}$.
Let the number of electrons present in ion $\mathrm{A}^{3+}$ be $x$.
$\therefore$ Number of neutrons in it $=x+30.4 \%$ of $x=1.304 x$
Since the ion is tripositive,
$\Rightarrow$ Number of electrons in neutral atom $=x+3$
$\therefore$ Number of protons in neutral atom $=x+3$
Given,
Mass number of the ion $=56$
$\therefore(x+3)+(1.304 x)=56$
$2.304 x=53$
$x=\frac{53}{2.304}$
$x=23$
$\therefore$ Number of protons $=x+3=23+3=26$
$\therefore$ The symbol of the ion ${ }_{26}^{56} \mathrm{Fe}^{3+}$.