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ΔS for 4Fe_(s)+3O_2(g)→2Fe₂O_3(s) is – 550 J/mol/K.
The process is found to be spontaneous even at 298K because [ Δ H = –1650 kJ]

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ΔS_total = + 1650J

ΔS_total = – 2000J

ΔS_total = – 4987J

ΔS_total = + 4987J

answer is C.

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Detailed Solution

For Irreversible spontaneous process , $\Delta S_{system}+\Delta S_{Surroundings}>0$

ΔS_sys = -550J

$\begin{array}{l} \Delta {S_{Surr.}} = \frac{{ - (\Delta {H_{sys}})}}{T}\\\\ \,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{ - ( - 1650 \times 1000)}}{{298}}\\\\ \,\,\,\,\,\,\,\,\,\,\,\,\, = 5537J \end{array}$

$\therefore \Delta S_{total}=-550+5537=4987J$

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