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

For the reaction \(2 \mathrm{NO}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{N}_{2} \mathrm{O}_{4}(\mathrm{~g})\), when \(\Delta \mathrm{S}=-176.0\, \mathrm{JK}^{-1}\) and \(\Delta \mathrm{H}=-57.8\, \mathrm{~kJ}\, \mathrm{~mol}^{-1}\), the magnitude of \(\Delta \mathrm{G}\) at \(298\, \mathrm{~K}\) for the reaction is \(......\,\mathrm{kJ} \mathrm{mol}^{-1} .\) (Nearest integer)

  1. A \(15\)
  2. B \(10\)
  3. C \(5\)
  4. D \(8\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(5\)

Step-by-step Solution

Detailed explanation

\(\Delta \mathrm{G}=\Delta \mathrm{H}-\mathrm{T} \Delta \mathrm{S}\) \(\Delta \mathrm{G}=57.8-\frac{298(-176)}{1000}\) \(\Delta \mathrm{G}=-5.352 \,\mathrm{~kJ} / \mathrm{mole}\) \(\mid\) Nearest integer value \(\mid=5\)
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