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JEE Mains · Chemistry · STD 11 - 5. Thermodynamics and thermochemistry

Data given for the following reaction is as follows: \(\mathrm{FeO}_{(0)}+\mathrm{C}_{\text {(gaplike) }} \longrightarrow \mathrm{Fe}_{(0)}+\mathrm{CO}_{(\mathrm{g})}\)
Substance \(\Delta \mathrm{H}^{\circ}\) \(\left(\mathrm{kJ} \mathrm{mol}^{-1}\right)\) \(\Delta \mathrm{S}^{\circ}\) \(\left(\mathrm{J} \mathrm{mol}^{-1} \mathrm{~K}^{-1}\right)\)
\(\mathrm{FeO}_{(s)}\) \(-266.3\) \(57.49\)
\(\mathrm{C}_{\text {(graphite) }}\) \(0\) \(5.74\)
\(\mathrm{Fe}_{(s)}\) \(0\) \(27.28\)
\(\mathrm{CO}_{(\mathrm{g})}\) \(-110.5\) \(197.6\)
The minimum temperature in \(\mathrm{K}\) at which the reaction becomes spontaneous is ....... . (Integer answer)

  1. A \(964\)
  2. B \(864\)
  3. C \(96.4\)
  4. D \(9.64\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(964\)

Step-by-step Solution

Detailed explanation

\(\mathrm{T}_{\min }=\left(\frac{\Delta^{0} \mathrm{H}}{\Delta^{0} \mathrm{~S}}\right)\) \(\Delta^{0} \mathrm{H}_{\mathrm{rxn}}=\left[\Delta_{\mathrm{f}}^{0} \mathrm{H}(\mathrm{Fe})+\Delta_{\mathrm{f}}^{0} \mathrm{H}(\mathrm{CO})\right]-\)…