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Assertion : Extraction of iron metal from iron oxide ore is carried out by heating with coke.
Reason : The reaction,
$Fe_2O_3 (s)\to Fe(s) + 3 / 2O_2 (g)$ is a spontaneous process.
If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
If the Assertion is correct but Reason is incorrect.
If both the Assertion and Reason are incorrect.
Solution
Iron is obtained from $Fe_2O_3$ by heating it with a mixture of coke and $CaCO_3$ in a blast furnace in which $CO$ formed reduces $Fe_2O_3$ to $Fe$.
$Fe_2O_3+CO\to Fe+CO_2$
However, the reason is false because the reaction
$Fe_2O_3(s)\to Fe(s)+\frac {3}{2}O_2(g)$
is not spontaneous as for this reaction both $\Delta H$ and $\Delta S$ are negative, so $\Delta G$ will be positive