The radii of the lithium and magnesium ions are 76 pm and 72 pm, respectively. Which compound has stronger ionic attractions, fithium oxide or magnesium oxide?

Respuesta :

Answer:

Magnesium oxide has stronger ionic attraction

Explanation:

Ionic attraction force (F) is represented as-

                                   [tex]F=k\frac{\mid q_{+}q_{-}\mid }{(r_{+}+r_{-})^{2}}[/tex]

where k is constant, [tex]q_{+}[/tex] is charge on cation, [tex]q_{-}[/tex] is charge on anion, [tex]r_{+}[/tex] is radius of cation and [tex]r_{-}[/tex] is radius of anion.

Here anion for both oxides is [tex]O^{2-}[/tex]. So, for both of them [tex]r_{-}[/tex] is same.

For lithium oxide [tex](Li_{2}O)[/tex], cation is [tex]Li^{+}[/tex]. So, [tex]q_{+}[/tex] is +1.

For magnesium oxide (MgO), cation is [tex]Mg^{2+}[/tex]. So [tex]q_{+}[/tex] is +2

Hence [tex]\mid q_{+}q_{-}\mid (Li_{2}O)< \mid q_{+}q_{-}\mid (MgO)[/tex].

As, radius of lithium ion is greater than radius of magnesium ion therefore-

[tex](r_{+}+r_{-})(Li_{2}O)> (r_{+}+r_{-})(MgO)[/tex]

So altogether [tex]F(MgO)> F(Li_{2}O)[/tex]