NCERT Class XI Chemistry Structure of Atom Solutions

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Question : 44
Total: 67
An ion with mass number 56 contains 3 units of positive charge and 30.4% more neutrons than electrons. Assign the symbol of this ion.
Solution:  
Let the number of protons(p) = x
∴ Number of electrons (e) = x – 3 (because the ion carries 3 units of positive charge, it will have 3 electrons less than the number of protons.)
Number of neutrons(n)
= (x - 3) +
(x3)30.4
100
=
100(x3)+(x3)30.4
100

n =
100x300+30.4x91.2
100
=
130.4x391.2
100

We know that A = p + n
56 = x +
130.4x391.2
100
or 56 =
100x+130.4x391.2
100

or 5600 = 230.4x – 391.2 or 5600 + 391.2 = 230.4x or 5991.2 = 230.4x
∴ x =
5991.2
230.4
= 26
Thus, number of protons (p) = 26, number of electrons (e) = 26 – 3 = 23
therefore, symbol of the ion =
56
26
Fe3+
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