JEE Main 2025 Jan 23 Shift 1, Chemistry Q25: Gibbs Energy Change and Equilibrium

JEE Main2025Jan 23, Shift 1Chemistry

The standard enthalpy and standard entropy of decomposition of $N_{2} O_{4}$ to $N O_{2}$ are 55.0 kJ mol $^{- 1}$ and 175.0 J/K/mol respectively. The standard free energy change for this reaction at 25 $^{\circ}$ C in J mol $^{- 1}$ is _______ (Nearest integer)

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Solution

Apply $Δ G^{\circ} = Δ H^{\circ} - T Δ S^{\circ}$ using consistent units (Joules).

$Δ H^{\circ} = 55.0$ kJ/mol $= 55000$ J/mol; $Δ S^{\circ} = 175.0$ J/K/mol; $T = 298$ K.

$T Δ S^{\circ} = 298 \times 175 = 52150$ J/mol.

$Δ G^{\circ} = 55000 - 52150 = 2850$ J/mol.

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JEE Main 2025 Jan 23 Shift 1, Chemistry Q25: Gibbs Energy Change and Equilibrium

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