Which of the following orders are correct against the stated property?
I) NaO$_2 < KO$_2 < RbO$_2 < CsO$_2$ — stability
II) Mg(OH)$_2 < Ca(OH)$_2 < Sr(OH)$_2$ — basic strength
III) MgCO$_3 < CaCO$_3 < SrCO$_3$ — thermal stability
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For group trends in alkali and alkaline earth metals, remember: thermal stability and basicity increase down the group, and larger cations stabilize larger anions better.
I) Stability of superoxides increases down the group due to increase in cation size which stabilizes the larger anion O$_2^-$ better. Hence, NaO$_2 < KO$_2 < RbO$_2 < CsO$_2$ is correct.
II) Basic strength of group 2 hydroxides increases down the group due to increase in ionic character and solubility: Mg(OH)$_2 < Ca(OH)$_2 < Sr(OH)$_2$.
III) Thermal stability of carbonates also increases down the group due to increased lattice energy stability: MgCO$_3 < CaCO$_3 < SrCO$_3$.