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(B) The thermal stability of alkaline earth metal carbonates increases as we move down the group due to the increase in the size of the metal cation,w

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$IV < II < III < I$

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(B) The thermal stability of alkaline earth metal carbonates increases as we move down the group due to the increase in the size of the metal cation,which decreases the polarizing power of the cation.The order of thermal stability for alkaline earth metal carbonates is: $BeCO_3 $K_2CO_3$ is a carbonate of an alkali metal (Group $1$). Alkali metal carbonates are generally much more thermally stable than alkaline earth metal carbonates (Group $2$).Therefore,the overall order of increasing thermal stability is: $BeCO_3 (IV) < MgCO_3 (II) < CaCO_3 (III) < K_2CO_3 (I)$.

List-$I$ Substances	List-$II$ Composition
$A$. Plaster of paris	$i$. $CaSO_4.2H_2O$
$B$. Epsomite	$ii$. $CaSO_4.\frac{1}{2}H_2O$
$C$. Kieserite	$iii$. $MgSO_4.7H_2O$
$D$. Gypsum	$iv$. $MgSO_4.H_2O$
	$v$. $CaSO_4$

The following compounds have been arranged in order of their increasing thermal stabilities. Identify the correct order.
$K_2CO_3$ $(I)$
$MgCO_3$ $(II)$
$CaCO_3$ $(III)$
$BeCO_3$ $(IV)$

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The following compounds have been arranged in order of their increasing thermal stabilities. Identify the correct order.$K_2CO_3$ $(I)$$MgCO_3$ $(II)$$CaCO_3$ $(III)$$BeCO_3$ $(IV)$