Rank the following in order of increasing strength of ionic bonds? #"NaCl", "Mg"_3"N"_2, 2"CaCl"_2, "Na"_3"PO"_4#

Help! I don't understand how to do this question!

1 Answer
May 10, 2018

#"NaCl < CaCl"_2 < "Na"_3"PO"_4 < "Mg"_3"N"_2#

Explanation:

Here's how I got the order.

The force of attraction #F# between oppositely charged ions follows Coulomb’s law:

#color(blue)(bar(ul(|color(white)(a/a)F = (kq_text(+)q_text(-))/r^2color(white)(a/a)|)))" "#

where

#"q_text(+)# and #q_text(-)# are the charges on the ions
#r# is the distance between the ions
#k# is a proportionality constant

The critical factor is that the force depends on the product of the charges on the ions.

We can make a table of your compounds.

#ulbb("Compound"color(white)(l)q_text(+)color(white)(m)q_text(-)color(white)(m)q_text(+)q_text(-))#
#color(white)(m)"NaCl"color(white)(mmml)1color(white)(mm)1color(white)(mm)1#
#color(white)(m)"Mg"_3"N"_2color(white)(mmll)2color(white)(mm)3color(white)(mm)6#
#color(white)(m)"CaCl"_2color(white)(mmm)2color(white)(mm)1color(white)(mm)2#
#color(white)(m)"Na"_3"PO"_4color(white)(mm)1color(white)(mm)3color(white)(mm)3#

Thus, the order of increasing bond strength is

#"NaCl < CaCl"_2 < "Na"_3"PO"_4 < "Mg"_3"N"_2#