AP Chemistry
2.3 Structure of Ionic Solids
The table below provides the ionic charges and estimated ionic radii for four hypothetical ions that form the gaseous ion pairs \(\text{MX}\) and \(\text{QZ}\).
A simplified model treats the electrostatic attractive force, \(F\), between an isolated cation and an isolated anion as being governed by Coulomb's law, where \(F \propto \dfrac{|q_1 q_2|}{d^2}\) and \(d = r_{\text{cation}} + r_{\text{anion}}\). Based on the information in the table, what is the value of the ratio \(\dfrac{F_{\text{MX}}}{F_{\text{QZ}}}\)?
| Ion | Charge | Ionic radius (\(\text{pm}\)) |
|---|---|---|
| \(\text{M}^+\) | \(+1\) | \(160\) |
| \(\text{X}^-\) | \(-1\) | \(140\) |
| \(\text{Q}^{2+}\) | \(+2\) | \(80\) |
| \(\text{Z}^{2-}\) | \(-2\) | \(120\) |
A simplified model treats the electrostatic attractive force, \(F\), between an isolated cation and an isolated anion as being governed by Coulomb's law, where \(F \propto \dfrac{|q_1 q_2|}{d^2}\) and \(d = r_{\text{cation}} + r_{\text{anion}}\). Based on the information in the table, what is the value of the ratio \(\dfrac{F_{\text{MX}}}{F_{\text{QZ}}}\)?
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