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(A) The reduction of metal oxides by carbon $(C)$ depends on the thermodynamic stability of the oxide and the affinity of the metal for oxygen compare

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$CaO$ and $K_2O$

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(A) The reduction of metal oxides by carbon $(C)$ depends on the thermodynamic stability of the oxide and the affinity of the metal for oxygen compared to carbon.Highly reactive metals such as alkali metals ($K$,$Na$) and alkaline earth metals ($Ca$,$Mg$) form very stable oxides that cannot be reduced by carbon at standard metallurgical temperatures.In the given options,$CaO$ and $K_2O$ are oxides of highly reactive metals ($Ca$ and $K$),which have a very high affinity for oxygen.Therefore,they cannot be reduced by carbon to their respective metals.

Among the following groups of oxides,the group containing oxides that cannot be reduced by $C$ to give the respective metal is

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