The Setup
A Tale of Heat and Carbonates
Imagine you are holding a piece of chalk (calcium carbonate) and a piece of magnesite (magnesium carbonate). If you were to throw both into a blazing furnace, which one would break down first? This is the essence of thermal stability. In this problem, we are asked to rank the thermal stability of Group 2 (alkaline earth metal) carbonates: MgCO3, CaCO3, SrCO3, and BaCO3.
When a carbonate decomposes, it breaks apart into a metal oxide and carbon dioxide gas:
The question is: how tightly does the metal hold onto the carbonate ion before the heat rips them apart?
The Bully Cation
Fajan's Rule in Action
To understand this, we need to look at the players involved. The carbonate ion, CO32−, is a large, fluffy polyatomic anion. Its electron cloud is spread out over three oxygen atoms.
Now, let's look at the metal cations. As we move down Group 2 from Magnesium to Barium, the number of electron shells increases. This means the ionic radius grows:
Here is where Fajan's Rule comes into play. Fajan's rule tells us that a small, highly charged cation is like a tiny bully. It has a very high charge density (polarizing power). When the tiny Mg2+ ion gets close to the large, fluffy CO32− ion, it aggressively pulls the carbonate's electron cloud towards itself.
This severe distortion weakens the internal carbon-oxygen bonds within the carbonate ion. Because the bonds are already strained by the magnesium bully, it takes very little thermal energy (heat) to snap the bond and release CO2. Therefore, MgCO3 is highly unstable to heat.
The Gentle Giant
Barium's Approach
On the other end of the spectrum, we have the Barium ion, Ba2+. Barium is a massive cation. Because its +2 charge is spread over a much larger volume, its polarizing power is very low.
When Ba2+ sits next to the CO32− ion, it doesn't distort the electron cloud much at all. The carbon-oxygen bonds remain strong and intact. As a result, you have to pump a massive amount of heat into BaCO3 to force it to decompose.
The Perfect Match
Lattice Energy
We can also view this through the lens of Lattice Energy. A fundamental rule of solid-state chemistry is that large cations stabilize large anions, and small cations stabilize small anions.
Since the carbonate ion is a large anion, it forms a much more stable, tightly packed crystal lattice with a large cation like Ba2+ than it does with a small cation like Mg2+. This high lattice stability directly translates to high thermal stability.
Final Conclusion
Putting it all together, as we move down the group, the cation size increases, polarizing power decreases, and the stability of the lattice with the large carbonate ion increases.
Thus, the thermal stability strictly increases down the group:
MgCO3<CaCO3<SrCO3<BaCO3
This perfectly matches option (b).